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The Columbia University Libraries reserve the right to refuse to accept a copying order if, in its judgement, fulfillment of the order would Involve violation of the copyright law. Author: Lisle, George Title: Accounting theory and practice Place: Edinburgh Date: 1909 qM_ '2-6G-( COLUMBIA UNIVERSITY LIBRARIES PRESERVATION DIVISION BIBLIOGRAPHIC MICROFORM TARGET MASTER NEGATIVE * ORIGINAL MATERIAL AS FILMED - EXISTING BIBLIOGRAPHIC RECORD m i6£i9 tlsle, Qsorge Qti9*ooountln)» in theory and ppaotioe, by (3oorg« Lisle... New ed. rey. and.enl. Edihbtireh, Greeti, 1909. XTi, 427 p. tables, forms. 22 om. RESTRICTIONS ON USE: TECHNICAL MICROFORM DATA RLM SIZE: 2^' n^ y^ REDUCTION RATIO: _j2r^ IMAGE PLACEMENT: lA ^|A; IB IIB DATE FILMED: //-// - '^ H INITIALS; TRACKING # : M^tl 0^1 go RLMED BY PRESERVATION RESOURCES, BETHLEHEM, PA. -^^ Vj GJ ■t^ Ol Ol 3 3 3 3 > Q) CD ABC bcdef 0,0 o m ^o 0-3? =.m (D O OQ X 3x 3 r" §i ^3^ t/* ^y 0>3 2 <2 ^5 o ^ JO Cx)^ RST stuv ^^ ^ c X X < c»rsi M < o X M .'^^ a^ 4^- (O c > O CO a: O 3 3 > in O 3 3 '^^ III s 3 3 O o 00 b I In 1.0 mm 1.5 mm 2.0 mm ABCOCFGHIJKLMNOPQRSTUVWXVZ abcde«ghi|klmnopqrstuvw«y;1234S67890 ABCDEFGHIJKLMNOPORSTUVWXYZ abcdefghijklmnopqrstuvwxy2l234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnop ijklmnopqrstuvwxyz 234567890 ABCDEFGHIJKLMNOPQRSTUVWXYZ o rr abcdefghijklmnopqrstuvwxyz 2.5 mm 1234567890 rk«> ^o V <- •i ^ fo fp ^Sr V <^ 'S ■'^ tp o- Is Si >< JO <-* C/) oorsi 8 ^o f^ h^ hO CJI • o 3 3 o >» Is (/) ^ go a^x ^-< 00 Nl 8 I 'X ColumWa Wtiihertftp ^ . ^ LIBRARY i^cftool Of 9iiKfnef f tEdt iKotitgometp lil^arp of flctottntamp \ fi lairiMifiit. ACCOUNTING IN THEORY AND PRACTICE ' ACCOUJSTTIJSG IN THEORY Ax\D PRACTICE RULED EXERCISE BOOKS FOR USE IN WORKING OUT THE EXAMPLES AND EXERCISES MAY BE OBTAINED FROM THE PUBLISHERS, PRICE 6d. EACH. No. 1. Ledger Exercise Book. „ 2. Day Book, Invoice Book, and Journal Exercise Book. CARD OF LOGARITHMS AND ANTI-LOGARITHMS TO FOUR PLACES MAY ALSO BE HAD, PRICE Is. BY GEORGE LISLE, C.A., F.F.A. TORMKRLY LECTURER ON BOOK-KEEPING AND THE PRINCIPLES OF ACCOUNTING AT THE HERIOT-WATT COLLEGE, EDINBURGH ; AUTHOR OF ' BOOK-KEEPING AND FORMS OF ACCOUNTS FOR COUNTl- COUNCILS,' CHAMBKRSS ' ELEMENTARY BOOK-KEEPING,' ETC, AKD EDITOR OF THE ENCYCLOPiEDIA OF ACCOUNTING NEW EDITION REVISED AND ENLARGED EDINBURGH AND LONDON WILLIAM GREEN & SONS 1909 An rights reserved ■■Wi «) f • ^J- Ci \jQ ^\ju:^/u^\i^') do. £160 Jan. 7. By Jack k Co. £285 700 Apr. 6. ,, Bills pay- 900 able 400 1750 Dec. 1. ,, Jack k Co. 200 8. „ Scott ATait 770 1655 Cash, Jan. 1. To Capital ,, J. Collins . £50 Jan. 2. By Goods £40 5. 760 5. ,, Bank 700 9. ,, Goods 20 June 30. ,, Rent 35 ,, Bills receiv- „ Wages . 100 able 495 Dec. 1. ,, Rent 15 Dec 7. „ J. Collins . 1230 8. „ Bank 900 2555 31 „ Wa^es . „ W.Wood. 100 600 2490 CLOSING ENTRIES ic Trial Balance as at 31st December. Vr. Cr. J. Collins .... £3,130 £2,830 W. Simpson . , , . Jack & Co. . . ■ 650 790 1,160 Scott &Tait. 1,170 1,400 Bills payable 400 680 Bills receivable 800 500 Goods 2,900 3,000 Rent 50 Wages . , , . 200 Discount .... 45 25 Capital 1 900 1,600 •i Bank 1,750 1,655 Cash 2,555 2,490 £15,340 £15,340 _0 CLOSING ENTRIES The accuracy of the posting of the Ledger having been 80 far determined by the agreement of the totals of the Trial Balance, the closing entries involving the preparation of the Profit and Loss Account and Balance Sheet may now be proceeded with. Goods Account, The first account requiring adjustment is the Goods Account The following is an abstract of the Goods Account as it at present stands in the Ledger : — Abstract of Goods Account Jan. 1. To Stock on Dec. 31. By Sales . £3000 hand at \ this date £600 Dec. 31. ,, Purchases 2300 It is important to note the various items of which this account consists, and these will be readily seen from the above abstract. On the debtor side there is the cost of goods which were in stock at the beginning of the year and the cost of the goods purchased since, and on the credit side there is the total sales which have been made during the year. The debit side therefore shows the I 1' i6 ACCOUNTING IN THEORY AND PRACTICE ,i total cost of the goods which have been in the shop or warehouse during the year, and the credit side contains the total price realised for the goods which have been sold. All the goods, however, have not yet been sold, and, to arrive at the profit from the purchase and sale of the goods, it is neces- sary that the goods on hand at the close of the year should be allowed for. The value of the goods on hand at the close of the year would be arrived at by actually going over the goods and preparing a priced inventory of them. Suppose that this has been done, and that the value of the goods, taken at cost price, is £700, it is evident that if this sum is deducted from the debit side of the Goods Account, the total of the debit side will then represent the cost of the goods which have been actually sold, and as on the credit side there is the price realised for these goods that have been sold the difference between the two sides will give the gross profit on the goods. Instead of deducting the goods on hand at the close of the year from the debit side, the effect will be the same if the amount is entered on the credit side, and as the goods on hand at the close of the year may be looked upon as the balance of the Goods Account, the simplest plan is to enter the amount on the credit side as the balance. The credit side will then amount to £3700, and the debit side to £2900, and the difference, £800, will be the gross profit on goods. The gross profit on goods should be trans- ferred to the Profit and Loss Account, where all the profits and all the charges or losses are collected together, and this is done by entering on the debit side of the Goods Account "To Profit and Loss, £800." The abstract of the Goods Account will then appear as follows : — Abstract of Goods Account Jan. 1. To Stock on hand at this date £600 Dec. 31. „ Purchases 2300 „ Profit and Loss . 800 Dec. 31. By Sales . £8000 „ Balance 700 Jan. 1. To Balance £3700 £700 £3700 CLOSING ENTRIES 17 Rent Account AcctT"lTZ'^'''''''''^''''''^i''''^'-' « the Kent Account IhiB account appears as foUows :— Setit Aceoant. June 30. To Cash . Dec. 1. ,, do. ■ £35 ■ 15 The account is at present deb ted with £50 but t\,. rent of the shop or warehouse i, f-rn ' * woni^ „-^f *k ^ "arenouse is £70 per annum, and it would not therefore do to transfer £50 to the Profit and Ix>ss Account, but £70 must be transferred. If tS Lt^ « made on the credit side of the Bent Account " S folloTs^ " ^''' ^•='="""' ^' *!>- appear as ^ent Account. June 30. To Caah Dec. 1. „ do. 31. I, Balance . £35 15 20 £70 Dec. 31. By Profit and Loss . £70 Jan. 1. By Balance W'ages. -detrttc^dt id'el'-BTp^fil^rr ''/ '"^'^'^ the amount transferal ^ '^ ^''' ^^^^'" "^^ •Discount, debif';l"tet\h?r?/T'"* ^'"'"' -"^ — of the « transferred Lth« '"^' °^ ^^^^ ""-^ this amount Account *^' '*'"' ^^^ ^ the Profit and Loss i8 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING 19 ! I I Profit and Loss Account, There have now been transferred into the Profit and Loss Account aU the profits of the business for the year, these appearing on the credit side, and on the debit side are placed all the charges incurred in earning this profit, namely rent, wages, and discount The difference between the two sides is £510, which is the net profit As the net profit belongs to the owner of the business, it should be transferred to his account namely, the Capital Account, by entering on the debit side of the Profit and Loss Account " To Capital, £510." Balance Sheet. All that now remains to be done is to balance off each of the accounts, and carry down the balances. All the debit balances represent assets, and the credit balances represent liabmties, including capital In the Balance Sheet are shown on the one side all the assets, and on the other all the liabilities, including capital. Completed Ledger Accounts J. Collins. Jan. 1. To Capital 9. ,, Goods Dec. 5. «» do. £800 500 1830 Jan. 1. To Balance £3130 . £300 Jan. 5. By Cash ., Discount . 9. ., Bills re- ceivable Dec. 7. .. Cash „ Bills re- ceivable 31. ,, Balance . £760 40 500 1230 300 300 £3130 IF. Simpson. Dec. 1. To Goods Jan. 1. To Balance £650 £650 £650 Dec. 31. By Balance . £650 £650 Jack & Co. Jan. 7. To Bank . £285 ,, Discount . 15 Dec 1. ,, Bills pay- able . 280 „ Bank 200 ,, Discount - 10 81. ,, Balance . 370 0| I Jan. 1. By Capital Dec. 1. „ Goods do. 8. •t £300 490 370 £1160 £1160 Jan. 1. By Balance . £370 Scott & Tait. Jan. 2. To Bills pay- able . £400 Dec. 8. ,, Bank , 770 81. „ Balance . 230 £1400 Jan. 2. By Goods Dec. 7. „ do. £400 1000 £1400 Jan. 1. By Balance . £230 Bills Payable. Apr. 5. To Bank Dec. 31. „ Balance £400 280 £680 _0 Jan. 2. By Scott & Tait . £400 Dec. 1. „ Jack & Co. . 280 £680 Jan. 1. By Balance . £280 Bills Receivable. Jan. 9. To J. Collins ^«c. 7. „ do. £500 300 £800 Jan. 9. By Cash ,, Discount £495 Dec. 31. „ Balance . 300 Jan. 1. To Baknce . £300 £800 20 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING 21 Goods, I Jan. 1. ToCapitel 2. ,, Cash . „ Scott & Tait Dec. 1. „ Jack & Co. ,, Scott & Tait ,, Jack & Co. „ Profit and Loss £600 40 7. 8. 81. 400 490 1000 370 Jan. 9. By Cash . „ J. Collins Dec 1. 5. £20 „. . 500 W. Simpson 650 J. Collins .1830 31. >, Balance 700 800 £3700 £3700 Jan. 1. To Balance . £700 Rent. June 30. To Cash . Dec. 1. ,, do. . 31. ,, Balance . £35 15 20 Dec. 31. By Profit and Loss £70 £70 £70 Jan. 1. By Balance . Wage^ £20 June 30. To Cash Dec 31. „ do. £100 100 Dec 31. By Profit and Loss tint. £200 £200 Disco £200 Jan. 6. To J. Collins 9. „ Bills receiv able . . £40 6 Jan. 7. By Jack k Co. Dec. 1. ,, do. 81. „ Profit and Loss £15 10 20 £45 £45 Capital Jan. 1. To Jack k Co. Dec 31. „ Cash ,, Balance £300 600 . 1210 Jan. 1. By J. Collins ,, Goods ,, Bank ,, Cash Dec. 31. „ Profit and Loss £800 600 150 50 a 510 £2110 £2110 Jan. 1. By Balance . £1210 Bank Jan. 1. To Capital 5. ,, Cash . Deo. 8. ,, do. . £150 700 900 Jan. 1. To Balance £1750 £95 Jan. Apr. Dec. 7. By Jack k Co. £285 6. ,, Bills pay. able . 400 1. ,, Jack k Co. 200 8. ., Scott & Tait 770 31. ,, Balance . 95 £1760 Cash. Jan. 1. To Capital . £50 5. ,, J. Collins . 760 9. ,, Goods . 20 ,, Bills receiv- able 495 Dec. 7. ,, J. Collins . 1230 Jan. 1. To Balance £2555 £65 Jan. 2. By Goods . £40 5. ,, Bank . 700 June 30. ,, Rent 35 ,, Wages 100 Dec. 1. ,, Rent 15 8. „ Bank . 900 31. . . Wages 100 „ W. Wood 600 ,, Balance . 65 £2555 Profit and Loss. Dec. 31. To Rent. )i Wages ,, Discount n Capital £70 200 20 510 £800 Dec. 31. By Goods . £800 £800 Balance Sheet as at 31st December. Liabilities. Assets Due to Jack and Co. Due to Scott k Tait Bills payable Rent outstandine Capital , ^ Cc . £370 .'ait 230 • 280 ? 20 • . 1210 £2110 Due by J. Collins Due by W. Simi»son Bills receivable . Goods on hand . Cash in bank Cash on hand dC300 650 300 700 95 65 £2110 onlJ\'"" "r,^^^" ^J'"^". by means of Ledger Accounts only, how all the business transactions of WiUiam Wood 22 ACCOUNTING IN THEORY AND PRACTICE may be properly and sufficiently recorded. It is seen exactly how it is that he has made a profit on his business, and what his assets and liabilities consist of. It is thus apparent that the essential book in book-keeping is the Ledger, and that all the results which book-keeping is capable of affording may be obtained by the use of the Ledger alone. In practice, however, it would be found almost impossible to keep accounts in the way that has been illustrated by means of a Ledger only, but it is important to remember that the whole theory of book- keeping is contained in the Ledger, and that any additional books which it may be found advisable to use are simply branches or parts of the Ledger system, and can only be properly understood and correctly used when they artj looked upon as such. These same transactions of William Wood will now be treated in a way which is more in harmony with actual practice. PRACTICAL BOOK-KEEPING In devising a set of books for any business concern, there are certain points which the accountant should care- fully keep in mind. It should be such a system of book- keeping as will not involve the keeping of too many clerks nor the procuring of too expensive books. The great secret of achieving economy in the book-keeping of an establish- ment is to utilise the original entries to the fullest extent. No scroll-books should ever be used, but the entries should be at once written into the proper book of record as the transaction takes place, and each book of record should, if possible, be so arranged as to be utilised in preparing the Profit and Loss Account and Balance Sheet. Another criterion of a good system of book-keeping, and one which often effects great saving of time, is to have the books so arranged that it is possible in the event of any errors getting into the books to trace them readily. Where it is possible to localise errors the irksome labour of going over the whole of the books until all the errors are found is BOOK-KEEPING IN PRACTICE 23 obviated. In a good system of book-keeping the books should be so arranged and sub-divided that the clerks of the establishment can have access to them as they require. No excuse should ever be accepted that one clerk cannot get on with his work because another clerk is using the book he requires. Under a well-airanged system of book- keeping it is very easy to avoid this. To sum up, that system of book-keeping is the best in which the fullest effect is given to the following : — 1. The utilising of the original entries. 2. The localising of errors. 3. The accessibility of the books to the clerks of the establish- ment The trarisactioTis of William Wood as they might he recorded in actioal practice. Having treated the transactions of William Wood in a purely theoretical manner, it now remains to illustrate how these transactions might be treated in a practical way. It is evident that if the business was of any size at all the transactions connected with cash might become so extensive as to necessitate a clerk being employed to devote his sole tinae to attending to the cash. In such a case it is quite evident that it would be of advantage instead of having the cash account in the Ledger to keep it in a separate book which the cashier could have always in front of him. Similarly, a separate book might be kept for goods received and a separate book for goods sold. The books necessary to record the transactions of William Wood might therefore be the following : — 1 . Cash Book, for cash transactions. 2. Invoice Book, for goods purchased. 3. Day Book, for goods sold. 4. Journal. 5. Ledger. 1. The Cash Book The Cash Book which is given has three money columns on each side, headed Discount, Bank, and Cash, and the i i til lit 24 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE use of these columns is easily understood. The Discount column on the debtor side is for the purpose of inserting opposite the name of the customer the amount of discount allowed to the customer when a settlement takes place. The Discount column on the credit side is for discount allowed by creditors at settlement. The Bank column on the debtor side is for the purpose of containing all sums paid into bank, and the Bank column on the credit side is for the purpose of containing the amounts of all cheques which are issued on the bank. It will be observed that the Bank column on the debtor side starts with the cash in bank at the beginning of the year, and that the cash in bank at the close of the year — £95 — is entered in the credit column. The Bank columns contain all the entries exactly as they appear in the Bank Pass Book, and there is thus no necessity of keeping a Bank Account in the Ledger. The Cash column on the debtor side is for cash actually received, and the Cash column on the credit side of the Cash Book is for cash actually paid away. All the items on the debit side of the Cash Book should be posted to the credit side of some account in the Ledger, and all the items on the credit side of the Cash Book should be posted to the debit side of some account in the Ledger, except the purely cash transactions with the Bank and the Cash and Bank balances. The only transactions in the Cash Book which are not posted are the payments of cash into bank or cash received from bank, which are given effect to through the Cash and Bank columns. It will be observed that only the balance of the discount, namely £20, is posted to the Ledger. 2. The Invoice Book, The Invoice Book is for the purpose of containing the details of all goods purchased. It thus practically takes the place of the debit side of the Goods Account in the Ledger, and to form the Ledger Account it is only necessary to post the total of the Invoice Book, either weekly or monthly, as may be thought desirable, to the debit of the 25 Goods Account. The details of the Invoice Book are posted to the credit of the various accounts with the exception of the cash items which have already appeared on the credit side of the Cash Book. 3. The Day Book, The Day Book is for the purpose of containing the details of the goods sold. It is thus really the credit side of the Goods Account in detail To the Goods Account in the Ledger the total of the Day Book should be credited, weekly or monthly, as required^ The individual items in the Day Book are posted to the debit of the different customers' accounts in the Ledger, with the exception of any purely cash items which have already appeared on the debit side of the Cash Book. 4. The Journal. The Cash Book, the Invoice Book, and the Day Book are called the books of original record, because the trans- actions are recorded in them just as they take place. These books are all posted into the Ledger direct. In most businesses there are some transactions which are not contained in the books of original record which require to appear in the Ledger, and for all such items it is desirable to use the Journal. The Journal is solely for the purpose of keeping a record of the debiting and crediting of items in the Ledger, and is practically used for : — 1. Opening entries. 2. Entries which cannot be conveniently carried through the books of original record. 3. Closing entries. In the Journal submitted it will be observed that the opening entries are all given, although perhaps the bank and the cash items might have been posted direct from the Cash Book. The entries throughout the year refer to bills payable and bills receivable and to the totals of the Invoice Book and Day Book. When bill transactions are numerous f 26 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE 27 it is desirable to keep a special book for bills payable and bills receivable, which may be used as the Bill Journal. The other entries relate to the closing of the books. 5. The Ledger, The Ledger is given all in one, although in most businesses it is very desirable to have the Ledger divided into : — 1. The Customers' Ledger or Debtors' Ledger, for Customers' Accounts. » , * X 2. The Purchases Ledger or Creditors' Ledger, for accounts with creditors or with those from whom goods are purchased. 3. The General Ledger, for all other accounts. Where, as in most businesses, it is desired that the clerks should not know what profit is being earned or what the amount of the capital is, a Private Ledger should also be kept. The other ledgers may be balanced apart from the Private Ledger by keeping in the General Ledger an account headed " Private Ledger Account " for all trans- actions which require to be entered through the other books, but which really belong to the Private Ledger. If a Private Ledger were kept in the present system, no Goods or Capital Accounts would be required, and the Private Ledger Account in the General Ledger would be as follows : — Private Ledger Acffnint. Jan. 1 . To Jack & Co. . £300 Dec. 31. Cash, W. Wood ,, Rent . ,, Wages .. Discount ,. Purchases .. Balance . 600 60 . 200 20 . 2300 . 530 £4000 _0 Jan. 1. By J. Collins £800 „ Bank . 160 ,. Cash . 60 Dec. 31. „ Sales . 3000 £4000 3. o© ^ ■« o 000 000 000 000 o o US O O O O O U3 CO O rt O O O CO •9 o o 00 o o 00 o o o o o o o o t^ o o o o o o o to secant cured). © © 51 •^ © urs »-• (N Tji o O eS .J8 p. . eg .J8 PQ - - - ~ hI; m CC ^ ^ ^ Q PQ e8 H « O 1 d kO bokA © »-i 00 eo a b a ^ CO * > "« © © © © ©© © © © o © © O) kO «0 C^ 0» CO © o © CO C9 ©! MB © o © © 0)0 © © o © o © 4>^ «*J o © © 10 © © <5" 03 09 o a s O »>-. 00 •—J i-t r^ O ^ 03 "^ O > S o a -1-3 CO CO c3 a> POO p c o o 55 ^ o r ■ r^ 09 a o P 3J ^ >> CQ s :3 s o CO O O ^ g o .2 s o c2 ^ o o o P^ CO o r* O O -(^ s d > O TJ rO O <=^- 1^ p2 r« '^ ^ «? OQ o 2 '^ a 2 ^ a ^=5 S rP g CO C*_4 .2 O -M o .^ ^ '^ «J O O fl ^ a c3 o o >> CO -<^ S C3 O o 2 ;a* § o S (» o 00 ri4 O s C3 O I S 03 O aJ O •^ 03 a &4 ^ 28 ACCOUNTING IN THEORY AND PRACTICE Invoice Book Jan. 2. Dec. 1. 7. 8. To Cash „ Scott k Tait . ,, Jack k Co „ Scott k Tait . „ Jack & Co. . Goods . Dr. £40 400 490 1000 370 £2300 J Day Book Jan. 9. Dec. 1. 5. Jan. 1. 2. 9. Dec. 1. t. 31. By Cash . ,, J. Collins ,, W. Simpson ,, J. Collins Goods Cr. £20 500 650 1830 £3000 Journal J. Collins .... Dr. Goods . . . • •! Bank Cash ,, To W. Wood, Capital Account for assets at this date W. Wood, Capital Account . Dr, To Jack k Co. for liability at this date Scott & Tait . To Bills payable Bills receivable To J. Collins . Jack k Co. . To Bills ijayable Bills receivable To J. Collins . Goods . . . To Sundries . for total of Invoice Book Sundries To Goods for total of Day Book Carry forward Dr Dr Dr Dr Dr Dr, £800 600 150 50 £1600 300 300 £1900 £1900 400 500 280 300 400 500 280 300 2300 9 2300 3000 3000 £6780 £6780 BOOK-KEEPING IN PRACTICE 29 Journal — Continued Dec 31. Brought forward Goods (New Account) . . Dr. To Goods (Old Account) . for goods on hand at this date Rent (Old Account) . . Dr. To Rent (New Account) for rent accrued to date unpaid Goods To Profit and Loss Profit and Loss To Rent . ,, Wages ,, Discount . ,, Capital Dr. . Dr. £6780 700 20 800 £6780 700 20 800 800 70 200 20 510 £9100 £9100 Ledger J, Collins. Jan. 1. To Capital . £800 Jan. 5. By Cash . . £760 9. ,, Goods . 500 ,, Discount . 40 Deo. 5. ,, do. . 1830 9. ,, Bills receiv- able . 500 Dec. 7. ,, Cash . .1230 ,, Bills receiv- . able . . 300 31. ,, Balance . 300 £3130 _0 £3130 _0 Jan. 1. To Balance £300 W. Simpson. Dec. 1. To Goods . .£650 Dec. 31. By Balance . £650 £650 £650 Jan. 1. To Balance .£650 30 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE 3> Jack & Co. Jan. Dec. 7. 1. 31. To Bank ,, Discount . ,, Bills pay. able , , Bank ,, Discount . ,, Balance . £285 15 280 200 10 370 Jan. 1. Dec. 1. 8. Jan. 1. hTait. By Capital . ,, Goods }i do. m By Balance £300 490 370 £1160 Scott d £1160 £370 Jan. Dec. 2. 8. 31. To Bills j«y- able ,, Bank „ Balance . £400 770 230 Jan. 2. Dec. 7. Jan. 1. ^ayable. By Goods M do. . By Balance . £400 1000 £1400 £1400 £230 Bills 1 Apr. Dec. 5. 31. To Bank . n Balance . £400 . 280 Jan. 2. Dec. 1. By Scott k Tait ,, Jack k Co. .£400 . 280 £680 £680 _0 i Jan. 1. By Balance . £280 Bills Receivable. Jan. 9. To J. Collins Dec. 7 „ do. Jan. 1. To Balance £500 300 £800 £300 Jan. 9. By Cash . tt Discount Dec. 31. „ Balance £495 5 300 £800 Rent. June 30. To Cash . Dec. 1. »« do. . 31 ., Balance £35 15 20 £70 Dec. 31. By Profit and Loss . £70 £70 Jan. 1. By Balance . £20 Wages. June 30. To Cash . Dec 31. „ do. . £100 100 £200 Dec. 31. By Profit and Loss . £200 £200 Discount. Dec. 31. To Cash . . £20 £20 Dec. 31. By Profit and Loss . £20 £20 Capital. Jan. 1. To Jack k Co. Dec. 31 „ Cash ft Balance £300 600 1210 £2110 it Bank Cash Jan. 1. By J. Collins £800 ,, Goods . 600 160 50 £1600 510 £2110 Dec. 31. ,, Profit and Loss . Jan. 1. By Balance . £1210 Goods. Jan. 1. To Capital . £600 Dec. 31. ,, Purchases 2300 ,, Profit and Loss . 800 Jan. 1. To Balance £3700 £700 Dec. 31. By Sales . £3000 „ Balance . 700 £3700 Profit and Loss Account. Dec 31. To Rent „ Wages f, Discount ,1 Capital £70 200 20 510 £800 Dec. 31. By Goods . £800 £800 32 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE Balance Sheet as at Slst December. Liabilities. Assets. 33 Due to Jack k Co. Due to Scott & Tait Bills payable Rent outstanding Capital £370 230 280 20 1210 £2110 Due by J. Collins Due by W. Simpson Bills receivable . Goods on hand . Cash in bank Cash on hand £300 650 800 700 95 65 £2110 PEACTICAL BOOK-KEEPING FURTHER DEVELOPED THE TRANSACTIONS OF WILLIAM WOOD AS THEY MIGHT BE RECORDED IN ACTUAL PRACTICE, WITH FURTHER IM- PROVEMENTS AND DEVELOPMENTS ON THE METHOD ALREADY SHOWN. The method of recording the transactions of William Wood may be still further improved. A method of keeping these transactions is now submitted which has several advantages over those already shown, and it may be well to point out exactly what these advantages are. The books kept under this system are ; — 1. Columnar Cash Book 2. Invoice Book. 3. Day Book. 4. Journal. 5. Ledgers; — (a) Customers* Ledger or Debtors' Ledger, for cus- tomers' accounts. (J) Purchases Ledger or Creditors* Ledger, for accounts with creditors or with those from whom goods are purchased. (c) The General Ledger, for all other accounts. The Cash Book. It will be observed that in the form of columnar Cash Book now submitted both debit and credit transactions are entered immediately after the date. There is thus never any break in the page. In the form of Cash Book formerly given if the number of debit transactions was not the same as the number of credit transactions a portion of the page had to be left blank. In the form now submitted no such blank can occur. It will be observed that the Cash and Bank columns, both debit and credit, are the same as in the form of Cash Book already given. The other columns consist of the folio columns and monetary columns for the purpose of analysing the receipts and payments, and containing the discounts. By means of the analytical columns a Cash Abstract may be at any time prepared, and the ledgers may be balanced separately. The posting of this Cash Book, so far as the details of the Customers' and Creditors* Accounts are concerned, is carried out exactly on the lines of the Cash Book already described. Detailed accounts may also be kept for any of the other items in the analytical columns, or the totals of these analytical columns may be posted either weekly or monthly to the General Ledger. In the example given the columns are totalled and posted at the end of the year. Invoice Book, Day Book, and Journal These books are used exactly in the manner already described, and, being the same as in the former set, are not repeated. The Ledgers, The Ledger Accounts which should be specially noted, and the working of which should be carefuUy followed, are the "Abstract of Customers* Ledger ** and the « Abstract of i'urchases Ledger,'* contained in the General Ledger. These accounts are prepared in practice from the weekly or monthly totals of the Day Book and Invoice Book, together with the totals of the Sales column, the Purchases column and the Discount columns in the Cash Book. The great advantage of these accounts is that they verify at any time the amount due by customers or due to creditors as 34 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE 35 AVILLIAM WOOD, Cash Dr. *.. Discount. Sales. Fol. Bank. Cash. £ «. d. 1 £, 9, d. £ 5. d. 150 £ s. d. 50 1899 Jan. 1 . 2. To Capital By Goods . 40 760 700 760 5. 7. To J. Collins . By Bank, sum jiaid in „ Jack k Co. . 20 20 9. To Goods . 5 495 495 Apr. 6. June 30. „ Bills receivable . By Bills i>iiyable ,, Rent . „ Wages . 1 Dec. 1. ,, Rent . ,, Jack & Co. . 1230 1230 1 7. To J. Collins . 900 8. By Bunk, sura paid in „ Scott &Tait. 1 1 31. „ Wages . « „ William Wood — 1 Account . ,, Balances . . •Carital 45 2505 1750 2555 MERCHANT m LONDON" Book Or. CMh. Bank. Pol. Purcliasea. Discount. Wages. Rent, Rates, Gas, and Insurance. Charges. Other Payments. £ «. d. i, 9. d. £ «. d. £ «. d. £ 5. d. £ «. d. £ «. d. £ «. d. 40 40 700 285 400 2S5 400 15 35 35 100 . 100 15 200 200 10 15 900 770 770 100 100 600 600 65 95 2555 1750 1695 0i25 200 50 1 600 ii i i 36 ACCOUNTING IN THEORY AND PRACTICE contained in the Customers' Ledger and Purchases Ledger. The three ledgers may thus be balanced separately at any time, and an error in the books is at once localised into one or other of the three ledgers. It will be observed that the Bills Keceivable Account is kept in the Customers* Ledger, and the Bills Payable Account in the Purchases Ledger ; an alternative method is to keep these accounts in the General Ledger, in which case the necessary adjusting entries must be made in the Abstract Accounts for the bills received and accepted. CusTOBiERs' Ledger J. Collins. Jan. 1. To Capital 9. ,, Goods Dec. 5. ,, do. £800 600 1830 £3130 Jan. 5. By Cash ,, Discount „ Bills 9. Dec. 7. 81. re- ceivable , , Cash Bill^ re- ceivable ,, Balance . II £760 40 500 1230 300 300 Jan. 1. To Balance . £300 £3130 W. Simpson. Dec. 1. To Goods Jan. 1. To Balance £650 £650 £650 Dec. 31. By Balance . £650 £650 Bills Receivable. Jan. 9. To J. Collins Dec. 7. .. do. II Jan. 1. To Balance £500 300 £800 £300 Jan. 9. By Cash . £495 Discount . 5 II Dec. 31. ,, Balance 800 £800 BOOK/KEEPING IN PRACTICE 37 Purchases Ledger Jack & Co. Jan. 7. To Bank ,, Discount . Dec. 1. ,, Bills pay- able ,, Bank ,, Discount . 31. ,, Balance . £285 15 280 200 10 370 £1160 Jan. 1. By Capital Dec. 1. ,, Goods 8. , , do. £300 490 370 £1160 Jan. 1. By Balance . £370 Scott & Tail. Jan. 2. To Bills pay- able . £400 Dec. 8. ,, Bank . 770 31. „ Balance . 230 £1400 Jan. 2. By Goods Dec. 7. do. Jan. 1. By Balance Bills Payable, £400 1000 £1 400 £230 Apr. 6. To Bank . £400 | Jan. 2. By Scott & Tait £400 Dec. 31. „ Balance . 280 Dec. 1. „ Jack k Co. 280 £680 £ 680 Jan. 1. By Balance . £280 General Ledger Abstract of Customer^ Ledger. Jan. 1. To Balance . £800 Dec. 31. „ Day Book 3000 Dec. 31. By Cash . £2505 ,, Discount . 45 „ Balance . 1250 £3800 £3800 Jan. 1. To Balance . £1250 Abstract of Purchases Ledger. Dec. 31. To Cash ,, Discount ,, Balance . £1695 25 . 880 Jan. 1. By Balance Dec. 31. ,, Invoice Book Jan. 1. By Balance . £300 . 2300 £2600 £2600 _0 . £880 38 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE 39 Goods. Jan. 1. To Capital ^ £600 Dec. 31. „ Purchases 2300 ,, Profit and Loss . 800 £3700 Jan. 1. To Balance . £700 Dec. 31. By Sales „ Balance . £3000 . 700 £3700 Rent, Dec. 31. To Cash . £.50 „ Balance . 20 £70 Dec. 31. By Profit and Loss . £70 £70 Jan. 1. By Balance , £20 Wages. Dec. 31. To Cash. . £200 £200 Dec. 31. By Profit and Loss . £200 £200 Discount. Dec. 31. To Cash . £45 Dec. 31. By Cash „ Profit and Loss £25 20 £45 £45 Capital. Jan. 1. To Jack k Co. £300 Dec. 31. ,, Cash 600 „ Balance . 1210 £2110 Jan. 1. By J. Collins. £800 Groods . 600 I) i> Bank Cash Dec. 31. ,, Profit and Loss 150 50 510 £2110 Jan. 1. By Balance . £1210 Profit and Loss Account. Dec. 31. To Rent ,, Wages ,, Disrount . „ Capital . £70 ! Dec. 31. By Goods 200 20 510 £800 £600 £800 Balance Sheet as at 31st December. Liabilities. Assets. Due to creditors : — On open accounts On bills payable Rent outstanding Capital . • £600 280 £880 20 1210 Due by customers : — On open accounts On bills receivable Goods on hand . • Cash : — In bank £95 On hand 65 £950 300 £1250 700 £2110 160 £2110 Exercises. Treat the following particulars and transactions in the same way as those of William Wood have been treated on pp. 27-32. 1. On 1st January the position of Adam White, Merchant, was as follows : — Liabilities. Ai^sets. Due to Son . Bills payable George Tait & . £200 . 150 Due by John Harvey Bills receivable Goods on hand Bank . £300 100 800 500 His transactions during the year were as follows : — Jan. 3. Received cash for bill due to-day . 4. Paid cash for goods purchased Purchased goods on credit from George Tait & Son ..... Paid bill due to-day by cheque Gave George Tait & Son bill at three months ...... 7. John Harvey settles his account for £300 by paying in cash And is allowed as discount Paid into bank .... Purchased goods from Husk & Co. Sold goods for casli £100 30 500 150 700 . 285 15 . 300 . 400 105 » 40 ACCOUNTING IN THEORY AND PRACTICE BOOK-KEEPING IN PRACTICE 41 I J Jan. 9. Sold goods to John Harvey . Received from John Harvey bill due in three months .... Discounted John Harvey*8 bill, and re ceived in cash .... Discount charged . Paid into bank .... Paid Rusk & Co. cheque for . Discount allowed by them Apr. 7. Gave cheque in payment of bill due to-day Dec. 2. Sold goods to John Harvey . 3. Purchased from George Tait & Son goods on credit ..... Gave George Tait & Son bill at three months ..... Gave George Tait & Son cheque for Discount allowed by them 5. Sold goods to John Harvey . Purchased goods from Rusk & Co. Received bill from John Harvey at three months ..... Received cash from John Harvey . Purchased goods from George Tait & Son on credit ..... 31. Paid wages to date in cash . Paid rent to date by cheque . Cash taken during year by Adam White for his own use .... Trial Balance to be taken here. Value of goods on hand at this date . 6. £1000 1000 990 10 1100 388 12 700 800 1000 425 75 2000 700 2000 500 900 350 200 1500 190 3000 2. On 1st January the position of William Inglis, Merchant, was as follows : — Liahilities. Assets. Due to A. Ross k Co. . £300 Bills payable . . 250 Due by John Adamson Bills receivable Goods on hand Bank . £600 200 1000 500 His transactions during the year were as follows : — Jan. 2. Received cash for bill due to-day . . £200 4. Paid cash for goods purchased . 100 Purchased goods on credit from A. Ross & Co 2000 ! Jan. 4. Paid bill due to-day by cheque Gave A. Ross & Co. bill at two months 7. John Adamson settles his account for JB500 by paying in cash . And is allowed as discount Paid into bank .... Sold goods for cash 9. Sold goods to John Adamson Received from John Adamson bill due in three months .... Discounted John Adamson's bill, and re ceived in cash .... Discount charged . Paid into bank .... Mar. 7. Gave cheque in payment of bill due to uay ...... Dec. 2. Sold goods to John Adamson 3. Purchased from A. Ross & Co. goods on credit ..... Gave A Ross & Co. cheque for Discount allowed by them 5. Sold goods to John Adamson Purchased goods from A. Ross & Co. C. Received cash from John Adamson Discount allowed to him 31. Paid wages to date in cash . Paid rent to date in cash Cash taken during year by William Inglis for his own use . . . . Trial Balance to be taken here. Value of goods on hand at this date £250 2300 475 25 550 60 3000 2970 30 2970 2300 1200 1500 1425 75 900 200 1140 60 600 200 3000 400 1000 3. On 1st January Peter Glen commenced business as a merchant with £100 of cash on hand, and £2400 of cash in bank. His transactions during the year were as follows : — Jan. 3. Gave cheque for office fittings and furniture £200 4. Paid cash for goods purchased 70 Purchased goods on credit from James Watt & Co 1500 42 ACCOUNTING IN THEORY AND PRACTICE Jan. 7. Sold goods to John Reid . £1200 Sold goods for cash 50 9. John Reid settles his account for £120C by paying in cash 1140 And is allowed as discount 60 Paid into bank . . . . . 1140 Paid James Watt & Co. cheque for 1425 Discount allowed by them 75 10. Purchased goods from James Watt & Co. . 2000 Sold goods for cash . . . , 80 Sold goods to John Reid 3000 Paid James Watt & Co. cheque for . 1900 Discount allowed by them 100 Dec. 2. Sold goods to John Reid 900 3. Purchased from James Watt & Co. goods on credit ...... 2100 Received cash from John Reid 2850 Discount allowed to him 150 31. Paid wages to date in cash 400 Paid rent to date in cash . 150 Cash taken during year by Peter Glen fox his own use . . . . . 500 Paid into bank .... . 1500 Trial Balance to be taken here. Dec. 31. Value of goods on hand at this date . 2000 SINGLE ENTRY BOOKS KEPT UPON A PARTIAL OR INCOMPLETE SYSTEM OF BOOK-KEEPING ARE SAID TO BE KEPT BY SINGLE ENTRY. It has been shown that under a complete system of book- keeping, or in book-keeping by double entry, as it is called, the Ledger Accounts are so arranged that one set clearly shows the assets and liabilities of a business concern and the other set the profits and losses, and both sets result in showing and confirming the net profit or loss. Where this is not done the system is incomplete, and the books are said to be kept by single entry. Such books may be in all stages of incompleteness. Thus, very often the only Ledger SINGLE ENTRY 43 Accounts kept are the Customers' Accounts. Sometimes the Creditors' Accounts are also kept. In fact, single-entry book-keeping so called may be said to deal only with personal accounts. In books so kept the charges to customers and the obligations to creditors are recorded in the same manner as in double-entry book-keeping, but the complementary accounts relating to goods and profit and loss, and the important principle of the equality of the debits and credits, are altogether absent. No detailed Profit and Loss Account can as a rule be prepared, and there is no satisfactory check on the accuracy of the results as is provided by the balancing of books which have been kept by double entry. The only check on the accuracy of the posting is to go over it all again and tick off each item as it is ascertained to be correct. The net profit or loss for any period can be ascertained from books imperfectly kept if the Capital Account, or Capital Accounts in the case of a partnership, have been properly kept for the period so as to show the capital at the begin- ning, the transactions not connected with the business, in- eluding sums taken out of or paid into the business, and the capital at the close of the period. Thus, if a Statement of Affairs has been prepared at the beginning of the period, the surplus shown is the capital at that time, and from a similar Statement of Affairs as at the end of the period the capital then in the business may be ascertained. The profit must be the increase in the capital during the period plus any capital withdrawn during the period and less any sums invested in the business during the period. Suppose that the capital in a business was £800 at the beginning of the year, and that during the year £300 was taken by the owner as his personal drawings in cash, and £60 of goods were used by the owner for his private consumption. Then if the capital at the end was £900, it is evident that the profit must have been £460. The following might be the Statement of Affairs at the end of the year of such a business : — I 44 ACCOUNTING IN THEORY AND PRACTICE Statement of Affairs of T. J. Smith as at 31st December. Liahiliiies, Assets. Due to creditors . . £300 Capital . . 900 Made up thus : — Capital at IstJau. £800 Dedttet — Cash draw- ings £300 Goods used 60 360 £440 Profit for year, being amount re- quired to make up capital to £900 . . 460 Capital above as . £900 £1200 Due by customers . £600 Valuation of goods on hand . . 600 Cash on hand 100 £1200 The rule for finding the profit from books kept by single entry where complete Capital Accounts have been kept, or where it is possible to prepare them, may be shortly stated as follows : — Prepare a Statement of Affairs as at the close of the period, and so ascertain the capital at the end of the period. Prepare a Capital Account, or Capital Accounts if the business is a partnership, for the period. From the capital brought out by the Statement of Affairs deduct the capital showji by the Capital Account or the Capital Accounts prepared. The difference is the net profit for the period. If the capital shown by the Capital Accounts is greater than the capital shown by the Statement of Affairs, the result of the period's transactions is a loss. t SINGLE ENTRY 45 Trial Balance of Books kept by Single Entry. A partial trial balance of books kept by single entry may be prepared in the form of an Abstract of Customers' Accounts and an Abstract of Creditors' Accounts, as on p. 37. To pass from Single Entry to Double Entry, After the profit has been ascertained, and the Capital Accounts have been duly credited with their shares, all that is necessary to convert books kept by single entry into double entry is to see that in the ledger or ledgers each of the assets appears on the debit side, and each of the liabilities, including the capital, appears on the credit side. No new ledger is required, and the additional labour involved in keeping books under a proper system is so trifling and the advantages to be derived so great that no one is justified in not adopting a complete and satisfactory method of keep- ing accounts. Example. H. Cooper and W. Fulton have been in partnership for a year on an equal footing. They have kept their books by single entry. At the end of the year their assets and liabilities were as follows : — Goods .... Cash .... Heritable Property Due by T. Ross . H. Cooper, Capital Account W. Fulton, Capital Account Due to J. Watson Assets. £800 85 1000 900 Liabilities. £385 400 1500 It is required to find the profit for the year, and to show the Journal entries necessary to open a new set of books to be kept by the firm. The Statement of Affairs of the firm as at 31st December is as follows : — If! Ill 46 ACCOUNTING IN THEORY AND PRACTICE Statement of Affairs as at Slst December. Liabilities. Assets. Due to J. Watson Capital £1500 1285 £2785 Due by T. Rosa . Goods on hand Heritable property Cash on hand £900 800 1000 85 £2785 The profit for the year is £500, as follows : — Capital of the firm at the close of the year, as above ...... Deduct — The credit balance shown on the partners* accounts : — H. Cooper . . . £385 W. Fulton . . . 400 X1285 — 785 Leaving as profit for the year . . . £500 Each partner is entitled to half of this profit, or £250 each. Crediting the partners with £250 each, the capital of £1285 belongs to the partners in the proportions shown below : — H. Cooper: — Credit balance £385 Share of profit ..... 250 £635 W. Fulton :— Credit balance . Share of profit . £400 250 650 £1285 The Journal entries necessary to open the new set of books are therefore as follows : — Journal. Jan. 1. Goods Dr. £800 Cash »» 85 Heritable property tf 1000 T. Ross I • 900 To Balance .... . £2785 Balance Dr. 2785 To H. Cooper, Capital Account • 635 „ W. Fulton, Capital Account • 650 „ J. Watson .... • 1500 PROFIT 47 It will be observed that by this method of making the Journal entries a Balance Account is opened which is debited and credited with the same amount, namely £2785. To debit the whole of the assets to the whole of the liabili- ties, and omit the Balance Account altogether, is quite permissible. PROFIT The return from capital employed in business or trade is divided by economists into^ 1. Interest on the capital itself. 2. A premium of insurance to cover the risk of losing the capital. 3. Wages of management or superintendence for the owner of the capital when he manages the business. The interest on capital invested in a mercantile or manufacturing concern is usually reckoned as 4^ or 5 per cent, that being the rate which a borrower would have to pay for money to be so invested, and as a rule a lender would stipulate for a life policy or some other asset as collateral security. The interest so paid to the lender includes the premium of insurance to cover the risk of losing the capital. A merchant in business for himself therefore expects the business to yield him : — 1. Interest on the capital he has invested in the business, because he could invest this money elsewhere, and he would receive interest upon it. 2. A premium of insurance to cover the risk of losing his capital. The rate of this premium will vary according to the nature of the business. 3. The merchant expects a further sum in respect that he devotes his time to his business, and could earn a salary as manager of another business if he were not in business for himself. What is meant by insurance of the risk of losing capital will be readily understood from an example. British consols at the present time yield an investor 2 per cent, while Brazilian bonds yield as much as 7 per cent. In \V 4S ACCOUNT/JVC IN THEORY AND PRACTICE the case of consols the whole return may be looked upon as interest, as the security is the best that can be got, but in the case of Brazilian bonds, while £2 of the return on each £100 invested may be regarded as the interest on the capital employed, the balance of £5 should be looked upon as an insurance premium to be set aside to cover the con- tingency of the capital never being received. No wages of management enters into the return, as the bondholder, unfortunately for him, is not allowed to manage the finances of Brazil. Proht consists of the surplus remaining over from the employment of capital after defraying all the necessary expenses and outlay incurred in its em- ployment, and after the capital has been replaced or PROVISION MADE FOR ITS REPLACEMENT. If THERE ARE NOT SUFFICIENT ASSETS LEFT TO REPLACE THE CAPITAL, THE RESULT OF THE VENTURE OR EMPLOYMENT IS A LOSS. It should be observed that this definition of Profit is from an economist's point of view, and while absolutely true in theory cannot always be employed in practice to ascertain what may be profit as defined by an Act of Parliament or some other deed regulating a business. Under an Act of Parliament there is sometimes included under the term " profit " what is not embraced by this definition. Such statutory or legal profit must be distinguished from the profit above defined. The profits of a concern for any given period are immediately ascertainable if there exists a statement of the liabilities and assets of the concern at the beginning and at the end of the period, together with a note of the sums which may have been withdrawn not connected with the business during the period. Thus, if a merchant's State- ment of Affairs shows that at 1st January he had a capital of £500, and at the 31st December of the same year a capital of £600, and it is known that during the year he has drawn from his business for his own personal expenses at the rate of £4 per week, or £208 per annum, it is clear that the profit made during the year has been £308, made up of the increase in the capital, £100, 'plvs the expenses of living, amounting to £208. Had the £208 not been PROFIT AND LOSS ACCOUNTS 49 drawn out of the business the capital at 31st December would have been £808, and the difference between this sum and the original capital of £500 gives £308 as the profit, as formerly. In books kept by single entry this, as has already been shown, is the method of arriving at the profit But, while it is satisfactory to know the amount of profit, it is better also to know exactly how the profit has arisen, so that the turnover and the charges of one year may be compared with those of another year, and the business made even more profitable. PEOFIT AND LOSS ACCOUNTS THE PROFIT AND LOSS ACCOUNT AS A LEDGER ACCOUNT IS THE ACCOUNT IN WHICH ARE COLLECTED ON THE CREDIT SIDE ALL THE SOURCES OF PROFIT, AND ON THE DEBIT SIDE ALL THE CHARGES INCURRED IN MAKING THE PROFIT DURING A GIVEN PERIOD. IF THE CREDIT SIDE OF THE PROFIT AND LOSS ACCOUNT IS GREATER THAN THE DEBIT SIDE THERE IS A PROFIT, BUT IF LESS THERE IS A LOSS. When a separate division of this account is kept, under the name of the Manufacturing, or Trading, or Goods Account, the balance of these accounts appears on the credit side of the Profit and Loss Accoi;nt proper as the gross profit. There is also placed upon the credit side of the Profit and Loss Account in such cases the income from other sources. On the debit side appear the expenses of distribution and the charges of management connected with the general conduct of the business, such as rent, taxes, msurance, office expenses, clerks, advertising, etc. Sometimes a third division is made in the Profit and Loss Account, to which are carried any extraordinary profits or losses which are quite apart from the usual transactions of the business. In the final division of the Profit and Loss Account is shown how the profit is apportioned. E 50 ACCOUNTING IN THEORY AND PRACTICE THE GOODS ACCOUNT 51 In preparing Protit and Loss Accounts with vanous branches, and in distributing the different items of which they consist under a proper classification and arrangement so as to make the statements the most serviceable which can be produced for the particular business concerned, there is the fullest scope for the skill and judgment of the ac- countant However complicated the accounts themselves may be the Profit and Loss Account and its various branches should be so framed that they almost force one to grasp their salient features. Different businesses require different modifications, so that the accounts of each business may display in the best manner possible the essential elements of the revenue and expenditure of that particular business The facts to be ascertained and shown in the Profit and Loss Account and its branches are, shortly : — 1 The turnover of the business, both as a whole and in each 'department, where the accounts of each department are ^^^V^^^txpenditure, as a whole and in each department, which is directly due to the volume of busmess done. 3 The gross profit is ascertained, both as regards the whole business and each department, from the above particulars. 4 Tiie expenditure which is due to the establishment or relates to the conduct and management of the business as a whole, and is not so directly due to the turnover, but depends more upon the premises or constitution of the business and would practically not change much with any change in the turn- '^''^'5 The profit or loss which is due to the business apart from any alteration that the profit or loss may sustam through the capital being insufficient or excessive. This is arrived at by deducting 4 from 3. „ „ r • i. * 6. The net profit, after making all allowances for interest and discount, which is apportionable to capital. To attain these results it is necessary to divide the Profit and Loss Account into various sections, and this may be done either by balancing off one account m occasion requires or separate accounts may be opened. Sometimes separate accounts show the division in a clearer manner than the method of having one Profit and Loss Account with rests. The Profit and Loss Account and its branches for a given period should contain all the profits for that period, and all the charges incurred or expended in making the profit during the same period. Thus in preparing a yearly Profit and Loss Account of a farm, the whole crop for that year must be included in some form or other on the credit side, and the whole charges incurred in obtaining the crop, including the rent for one year, must be debited. In preparing Profit and Loss Accounts for broken portions of a year, all such charges as rent, taxes, insurance, and other periodical payments, must be apportioned for the period embraced by the account THE GOODS ACCOUNT A GOODS ACCOUNT FOR A GIVEN PERIOD IS AN ACCOUNT SHOWING THE TRANSACTIONS CONNECTED WITH GOODS WHICH HAVE TAKEN PLACE DURING THAT PERIOD. In an ordinary merchant's business the first division of the Profit and Loss Account is the Goods Account. The Goods Account is opened at the beginning of each financial period by the value of the stock of goods being entered upon the debit side. The purchases during the period are entered upon the debit side, and the sales upon the credit side. Upon the credit side is also entered the value of the goods on hand at the close of the financial period. The difference between the two sides is the gross profit upon the goods if the credit side is the greater, but the loss upon goods if the debit side is the greater. In the ordinary form of a Goods Account as above explained the stock on hand at the close of the year is entered on the credit side, and has practically the effect of cancelling the cost of these unsold goods which has already heen entered on the debit side of the account. This is the most convenient method for book-keeping purposes, but for 52 ACCOUNTING IN THEORY AND PRACTICE STOCK-TAKING 53 purposes of comparison, and to show in the account itself the actual cost of the goods sold, it is necessary to deduct the stock on hand at the end of the year from the debit side of the Goods Account, where is found the value of the stock at the beginning of the year, and the purchases during the year. There is thus shown on the debit side of the Goods Account the actual cost of the goods which have been disposed of during the year. The important factor in a Goods Account is not the cost of the goods which have been purchased during the year, but the cost of the goods which have been used. Thus, suppose at the beginning of the year the goods on hand are valued at £1000, that durmg the year the price of the goods purchased amounted to £5000, and that at the end of the year the goods were valued at £400, it is evident from the following statement that the actual cost of the goods sold during the year amounted to £5600 : — Value of goods on hand at the beginning of the year £1000 Price of goods purchased during the year . 5000 Cost of goods in warehouse during the year at one time or another . . £6000 Deduct — Value of goods on hand at the end of the year 400 Cost of goods actually used during the year . . . . £5600 STOCK-TAKING STOCK-TAKING IS THE EXAMINING, FINDING THE VALUE, AND PREPARING A PRICED INVENTORY, OF GOODS OR MER- CHANDISE ON HAND AT A PARTICULAR MOMENT OF TIME. It is done periodically at each financial balancing time of a business, with the view of the value of the goods on hand being incorporated in the accounts of the concern. It is also done at other times, such as when a Statement of Affairs of a debtor is required for the information of his creditors, or for inventory and confirmation purposes when the owner of a business dies. The price put upon the goods will thus vary according to the purposes for which the inventory is prepared. Where the object of stock- taking is for the purpose of being incorporated in the accounts of a going concern, the goods should be priced at cost, on the footing that the business is a going concern. In the case of a bankrupt business the values will be such as the stock may be expected to realise under a forced sale. For confirmation purposes the prices are lower. Itaw Material. In the absence of any extraordinary shrinkage in the market value, raw material should be valued at cost price, plus all subsequent direct charges in connection with the goods in stock, such as freight, duty, and the cost of any direct labour expended upon the goods. Where the market value is under this figure, the basis should be market prices. Partially Manufactured and Completed Goods. All goods in stock which are partially manufactured or are completed should be valued at the prime cost of the raw material, 2?to the freight, duty, and other direct charges, together with the cost of any direct labour. Sometimes a percentage is added for general management expenses so far as they have been expended in the manufacture of the goods, but it is safer not to do this, as when it is done there is a risk of the profit from the selling of the goods being anticipated. Goods sold on Commission, The Goods Account of a merchant who, in addition to his ordinary business, sells goods on commission requires to be carefully adjusted, so that the correct gross profit on I I*' I « 54 ACCOUNTING IN THEORY AND PRACTICE sales, and the ratio of expenses to sales, may be correctly determined. In some concerns commission transactions are kept by themselves, being entered through a Commission Journal, or through special columns in the Purchase Day Book and Sales Day Book. In other concerns, however, the goods sold on commission are entered in the ordinary Purchase Day Book and Sales Day Book, along with the ordinary purchases and sales. Where it is possible to allocate the proportion of expenses due to the commission business it is best to have a separate Profit and Loss Account for goods sold on commission. Where this cannot be done, the assumption must be made that the sales on commission cost the same as the other sales, and the proper method of treating the Goods Account will be seen from the following example. Suppose the ordinary sales amount to £5000, the goods costing £3000, that the goods sold on commission realised £1000, and that the commission amounts to £150. Taking the expenses of the whole business as £1200, the Profit and Loss Account, with the relative percentages, would be as follows: — Profit and Loss Account for Year. {Correct Method.) To Purchases „ Gross profit Per Cent. 6000 £3000 40-00 2000 100-00 £5000 To5000-6000thsof expenses of £1200 . . 20-00 £1000 „ Profit down . 20-00 1000 By Sales Per Cent. 10000 £5000 10000 £5000 By Gross profit . 4000 £2000 40-00 £2000 To Expenses of commis- sion sales, 1000- eOOOths of £1200 . £200 „ Net profit ... 950 £1150 40-00 £2000 By Profit on trading „ Commission £1000 150 £1150 If the sales on commission are not included, then the Profit and Loss Account would appear as follows : — STOCK-TAKING 55 Profit and Loss Account for Year. {Ohjedionable Method.) To Cost of goods ,, Gross profit Per Cent. . 60-00 . 43-00 . 24-00 . 19-00 £3000 2150 By Sales ,, Commission By Gross profit brought down . Per Cent. 100-00 43-00 £5000 150 £5150 £1200 950 £5150 To Expenses . „ Net profit . £2150 43-00 £2150 43-00 £2150 In the second Profit and Loss Account the gross profit appears as 43 per cent of the sales, and the expenses as 24 per cent of the sales, whereas the correct percentages should be 40 and 20, as shown in the first Profit and Loss Account. These latter results apply only to the trading exclusive of the commission business; the figures in the first example show that the commission business results in a loss after charging its percentage of expenses. Arrangement of Profit and Loss Accounts. A pro forma Profit and Loss Account, which is applicable to most businesses, and works very satisfactorily, is given. This form is of great advantage in preparing percentage statements, and in comparing the accounts of different years. A merchant using such divisions is enabled to determine what must be his minimum turnover in order to meet his fixed charges, and may localise any leakage or extravagance in management. He can also ascertain in what directions economies may be effected. The account is divided into four sections, as follows : — First Section, — The Trading Account shows on the credit side the total sales, after deducting purely trade discounts and returns. On the debit side is placed the cost of the goods used, including any outlay for the carriage inwards of such goods, and after deducting purely trade discounts on the price. There is also entered on the debit side all expenditure directly connected with the sales, or which reduces the h 56 ACCOUNTING IN THEORY AND PRACTICE PROFIT AND LOSS ACCOUNT 57 price realised for the goods, such as commission and salaries of travellers and travellers* expenses, wages of salesmen, carriage outwards of goods sold, and cash discounts allowed on sales. All these charges depend to a large extent upon the turnover. This first section of the account may be headed "Trade Account," and the balance upon it is gross profit, which is carried down to the second section. Sicond Sedim. — The ordinary Business Profit and Loss Account has on the credit side the gross profit, together with any income not directly connected with sales, such as rent of premises, forming part of the heritable property belonging to the concern let to tenants, and revenue in the form of royalties from patents. On the debit side are all the fixed charges not directly connected with the sales, and which do not vary much with the rise or fall of the turnover, such as rent, rates, taxes, salaries of office staff and management. There is also debited in this section business losses, such as loss through bad debts, and any small loss through defalcations. The balance on this sec- tion of the account may be looked upon as the ordinary business profit, and is carried down to the next section. Third Section. — The Net Profit Account has on the credit side the balance brought down from the previous section, being the ordinary business profit for the period. There is also entered on the credit side of this section any income connected with capital, such as revenue from investments belonging to the concern, interest earned, and cash discounts obtained, which depend upon the capital in the concern. This section is debited with charges connected with capital, such as interest on loans. These all depend on and vary with the amount of capital in the business. The balance of this section, being the net profit, is carried down to the next section. Fourth Section. — The Profit and Loss Appropriation Account. This section is credited with the amount of the unallocated profit from the previous fiscal period, together with the balance of net profit from the third section. On the debit side is shown how this profit has been allocated, whether in the form of interest on partners' capital, share of profit allocated to capital, or profit reserved for any special purpose. If the business is that of a public company, the dividend paid on the shares is debited to this account, together with any sum carried to the reserve fund, and the balance unappropriated is carried forward, and appears in the next Profit and Loss Appropriation Account. The form of the account given should be carefully studied, but its utility can only be appreciated in practice. By the use of such divisions, and by comparing the accounts of one year with another, any looseness in the management of a business, or anything which might endanger its stability, can as a rule be at once detected, and measures taken to prevent further loss. Profit and Loss Account MetJwd of Division where it is required to compare one Year with another. Expenditure, Income, To Cost of goods used (including carriage inwards, and after deducting purely trade discounts) . £ ,, Expenditure directly connected with sales, or which reduces the price realised for the goods, such as — Commission and salaries of tra- vellers, and tra- vellers' expeuses Wages of sales- men Wages of porters Carriage out« wards of goods sold Cash discount al- lowed on sales By Sales (after deduct- ing purely trade discounts) . . £ Carry forward £ Carry forward £ )n 9Si I 58 ACCOUNTING IN THEORY AND PRACTICE Brought forward £ To Balance carried down, being gross profit To Fixed charges not directly connected with sales and not varying ranch with the turnover, such as- «> Rent, rates, taxes £ Repairs and up- keep of offices . Salaries of office staiT and man- agement . Depreciation Business losses, such t> Bad debts . Defalcations Balance carried down being profit on or diuary business To Expenses connected with capital, such as — Interest on loans „ Balance carried down, being net profit . £* To Allocation of profit : — Interest on capital £ Profit allocated to capital Profit allocated to reserve „ Profit unappropriated, carried forward Brought forward £ £ By Balance brought down, being gross profit . £ ,, Income not directly connected with sales, such as — Rent of stores or premises belong- ing to the busi- ness let to tenants Revenue from roy- alties . • £ By Balance brought down, being profit on ordin- ary business ,, Income connected with capital, such as — Revenue from in- vestments . Interest earned Cash discounts ob- tained, which de- pend upon the amount of capital in the business . By Balance brought down, being net profit . £ TRADING ACCOUNT 59 TKADING ACCOUNT THB TRADING ACCOUNT IS THE SECTION OF THE PROFIT AND LOSS ACCOUNT OF A TRADING CONCERN WHICH SHOWS ON THB CREDIT SIDE THE AMOUNT REALISED FOR THE GOODS SOLD, AND ON THE DEBIT SIDE THE ACTUAL COST OF THE GOODS AND THE EXPENDITURE DIRECTLY CONNECTED WITH SALES. The cost of the goods includes the cost price of material, freight, duty, and all other outlay incurred in acquiring possession, together with the wages spent in rendering the goods marketable. The goods at the beginning of the period and at the end of the period embraced by the account are entered in some form or other in the Trading Account or one of its branches, in order to charge only the goods actually sold. The goods on hand have not been realised, and it is only the cost of the goods actually realised which should be charged against the price realised. The gross profit shown by the Trading Account is carried to the credit of the next section of the Profit and Loss Account, which is usually called " The Profit and Loss Account," where any income not immediately connected with sales is also shown. On the debit side are the establishment expenses. The profit shown is carried to the next section of the Profit and Loss Account. The Trading Account shows what is usually called the " gross profit " of a concern, or the difference between the price realised for the goods and the cost of the goods. In some businesses the goods are sold almost in the same condition in which they were purchased, but in other con- cerns a considerable amount of labour is spent in rendering the goods marketable. On the following page are shown the Trading Accounts of a business having two separate departments, and practically selling the goods in the same condition as when they were purchased. 6o ACCOUNTING IN THEORY AND PRACTICE TRADING ACCOUNT 6i Example of Trading and PKonx and Loss Accounts HAT AND CAP DEPARTMENT Trading Account. Dec. 31. To Cost of goods :— Stock at begin- ning of year . £1300 Purchases dur- ing year (less returns) . 3000 £4300 Deduct — Stock at end of year 2100 £2200 200 ,, Cliarges ,, Profit and Loss Account, for gross profit . 2600 £5000 Deo. 31. By Sales (leaa returns) . . £5000 £5000 HOSIERY DEPARTMENT Trading Account. Dec 31. To Stock of goods :— Stock at begin- ning of year . £200 Purchases dur- ing year (less returns) . 300 Deduct— Stock at end of year £500 150 Dec. 81. By Sales (leas returns) . £000 £350 „ Charges . . 50 ,, Profit and Loss Account, for gross profit . 200 £600 £600 ProjU and Loss Account. Dec. 31. To Rent . ,, Salaries ,, Expenses . ,, Carriages . ,, Depreciation ,, Balance carried down £200 350 100 30 25 £705 2095 £2800 Dec. 31. By Hat and Cap De- partment, gross profit . . £2600 ,, Hosiery Depart- ment, gross profit . . 200 Dec. 31. To Interest on loan and bank over- draft ,, Balance carried down £60 2185 £2245 Dec. 31. To Interest on capi- tal :— W. Watt . R. Ross »i Balance, being net profit divisible as follows : — W.Watt, frds £1410 R. Ross, ird . 705 £40 30 £70 £2800 Dec. 31. By Balance brought down . . £2095 Discount on pur- chases . . 150 i> £2245 Dec. 31. By Balance brought down . . £2185 2115 £2185 £2185 Manufacturing Accounts In preparing Manufacturing Accounts the first section of the Profit and Loss Account usually consists of the Manu- facturing Account. This account may be in several different forms. In the example given it is used merely for the purpose of ascertaining the cost of manufacturincr the goods, and is debited with the cost of raw material used the wages of production, the rent and taxes of factor/ depreciation on machinery, sundry stores, and any other direct charges of manufacture. A Manufacturing Account, however may also be used for the purpose of showing the profit on «ie manufacturing department as apart from the tradin- 62 ACCOUNTING IN THEORY AND PRACTICE department This is done by crediting the Manufacturing Account with the price at which the goods manufactured could be purchased elsewhere. In the example submitted the next section is the Trading Account, and the other sections are prepared on the lines already indicated. Manufacturing Account. Dec. 31. To Cost of raw mate- Dec. 31. By Trading Account, rial : — being cost of Stock at begin- manufacturing . £7710 ning of year . £700 Purchases dur- ing year 5000 £5700 Deduct— Stock at end of 1 year 900 1 £4800 „ Wages 2500 ,, Rent and taxes of factory 300 ,f Depreciation on machinery 60 „ Sundry stores 50 £7710 £7710 Trading Accotmt. Dec. 31. To Manufacturing Dec. 31. By Sale* . . £16.280 Account, cost of manufactur- ing . . £7,710 ,. Salesmen's salaries 300 „ Travellers' salaries and commission 200 „ Discount on Sales . 300 \, £8,510 „ Profit and Loss Ac- count, for gross profit. 7,770 £16,280 £16,280 THE TRIAL BALANCE 63 Profit and Loss Account. Dec. 31. To lient of ware- house . . £200 Salaries of clerks 250 Depreciation on fi.ctures . . 120 Office expenses . 200 Advertising . 30 Reserve for bad debts . . 120 »» »< Dec. 31. By Trading Account, gross profit . £7770 £920 ., Balance carried down . . 6850 Dec 81. To Interest on loan „ Balance carried down £7770 £50 7000 £7770 Feb. Dec. 31. £7050 5. To Dividend Ac- count, for dividend at 6 per cent de- clared to-day £6,000 I Reserve fund for amount transferred this day . 1,500 Balance . . 7,100 Dec. 31. By Balance brought down, being profit on busi- ness for year . £6850 ,, Discount on pur- chases , . 200 £7050 It £14,600 Jan. 1. By Balance brought forward from last year . £7,600 Balance brought down, being net profit for year 7,000 Dec. 31. £14,600 THE TRIAL BALANCE A TRIAL BALANCE IS A STATEMENT OF THE LEDGER ACCOUNTS PREPARED AFTER THE BOOKS OF A CONCERN HAVE BEEN POSTED UP, BUT BEFORE THE CLOSING ENTRIES ARE MADE, SHOWING IN TWO PARALLEL MONEY COLUMNS EITHER THE TOTAL OF THE DEBIT AND THE TOTAL OF THE CREDIT SIDE OF EACH LEDGER ACCOUNT, OR THE DIFFERENCE BETWEEN THE DEBIT SIDE AND THE CREDIT SIDE OF EACH LEDGER ACCOUNT. ^^^There are thus two methods of preparing a Trial \ ACCOUNTING IN THEORY AND PRACTICE First Method, By abstracting the totals of the debit and credit sides of each Ledger Account. — The Trial Balance may be prepared by abstracting the totals of the postings to the debit side of each Ledger Account and the totals of the post- ings to the credit side of each Ledger Account. By this means the books are not only brought to a balance, but, should the totals of the two sides of the Trial Balance not agree, the error may be localised to the one side or to the other side of the Trial Balance, as by summing the totals of the different books of original entry and taking account of the balances at the beginning of the period it can be ascertained what the tot«ds of the Trial Balance should amount to. Second Method. By abstracting the Ledger Balances. — The second method, by the abstraction of the balances of each Ledger Account, has the additional advantage over the first method that from it, as it gives the differences between the two sides of each of the Ledger Accounts, the preparation of the final Balance Sheet and of the balancing of the books, once the Trial Balance is found to agree, is facilitated. By this second method the risk is greater of the Trial Balance not balancing at first, in consequence of the risk there is of making mistakes in subtracting the two sides of each Ledger Account By the addition of two money columns to the first method the Trial Balance on the basis of the second method may be at once formed, immediately the Trial Balance by the first method is found to agree. While the agreement of the debits and credits of the I^edger Accounts is not a positive proof of the correctness of the Ledger, certainly without the totals balancing it is positively known that the Ledger Accounts cannot be correct A Trial Balance should invariably be drawn up before making the closing entries and preparing the Profit and Loss Account of a concern. In most businesses it is desirable that a Trial Balance should be taken at regular intervals. Thus, in businesses where the accounts are only balanced off finally and a Profit and Loss Account prepared once a year, it is often desirable to have a Trial Balance of the books quarterly, or even monthly. In the case of banks there is usually a Trial THE TRIAL BALANCE 65 I Balance taken weekly. In the case of merchants where it is desirable that the position of the accounts should be regularly brought before the principals of the business, it is advisable to take a Trial Balance monthly. In the case of traders and manufacturers a quarterly or half-yearly Trial Balance is usually found sufficient Where a regular Trial Balance is taken and the accounts do not vary much, it is of advantage to have a Trial Balance Book ruled with two, four, or twelve sets of money columns on each page. By this means the names and folios of each account need not be rewritten at each period of balancing. The connection between the Trial Balance, Profit and Loss Account, and Balance Sheet. In order to show the connection between the Trial Balance, Profit and Loss Account, and the Balance Sheet, and to demonstrate the close relation which they bear to one another, there is given a statement showing how in the transactions of William Wood the Profit and Loss Account and Balance Sheet are derived from the Trial Balance and the particulars taken at stock-taking. The preparation of such statements will be found very useful in enabling the student to acquire a complete mastery of the principles of book-keeping. It wiH be observed that the Trial Balance is not the same as that already submitted, but that the differences between the two sides of each Ledger Account or the balances, are given instead of the totals of each side The Tnal Balance shows that there is a sum at the credit of Goods of £100 ; to this sum is added the value of the stock ^^ol^^^^^ ^^®^ December, amounting to £700, making in aU ^«00 as the gross income from Goods to be entered in the mfit and Loss Account In the case of rent, which is given as an example of a Charges Account, the Trial Balance shows a debit balance of £50, which is the amount which has been actually paid during the year. At the time of stock-takinf? tbere is £20 due for rent, which, being added to the £50 paid, makes £70 as the total charge for the year to be entered in the Profit and Loss Account It will well repay F \ £6 III I. I ACCOUNTING IN THEORY AND PRACTICE H 55 ^ • p ^ ■»a "^ 'li T-* ^ CO jS "S h} a o «> A 1 o o o o o o o o o CO (N !?< o o o c oo oo o o oo o »o o o o o o o 1210 o .— • t— 1 IN o o o o o o o r-l (—1 o o oo o o oo o o o o t^ O OJ !-• O o o o CO o o s 00 o o o o o o o oo o o o o o o o o o o t>. CO QO O CO Ofl ayable Bills receivable Goods Rent . Capital Bank of Scotland Cash on Hand It will be observed that in the foregoing statement all the balances of the accounts appear just as they are in the Ledger after the balances have been carried down, that is, the debit balances are entered in the debit column and the credit balances in the credit column. The particulars above given in the Statement of Ledger Balances, if thrown into the form of a Balance Sheet, would appear as follows : — Balance Sheet as at 31st December. Dr. Cr. £ *. d. £ s. d. 300 650 t 950 370 230 600 280 300 t 700 20 1210 95 65 2110 2110 Assets, {Correct Form.) Liabilities. Due by customers Bills receivable . Goods on hand In Bank of Scotland Cash on hand £950 300 700 95 65 £2110 Due to wholesale houses £600 Bills payable . , 280 Rent accrued to date . 20 Capital £900 1210 £2110 In the above Balance Sheet it will be observed that the assets appear on the left side and the liabilities on the right l^» 72 ACCOUNTING IN THEORY AND PRACTICE BALANCE SHEETS n ♦ I side of the statement, just as they appear in the Ledger. It will be observed further that the contractions Br, and O., for debtor and creditor, are not used as part of the heading. This is because the Balance Sheet is best regarded not as an account but as a Statement of Ledger Balances. In a set of books kept completely by double entry, and in which even the balancing of the accounts is done through the medium of the Journal, an account is used entitled the "Balance Account," into which all the balances are transferred at the close of the year, and in which the Ledger Accounts would appear as they are given in the above Statement of Ledger Balances. For the opening entries a Balance Account would also be used, but the items would necessarily appear on opposite sides from the closing Balance Account. The Balance Sheet, if given in the form above shown, is thus practically a copy of the closing Balance Account. From this point of view the assets should undoubtedly be placed on the left side of the Balance Sheet, which corresponds to the debit side of the closing Balance Account. Further, all balances which represent assets are debit balances, and accountants naturally come to associate assets with the debit or left side of either an account or a statement. So that theoretically the left side is the side upon which the assets should appear in the Balance Sheet. In practice, however, the assets are usually to be found upon the right side, and it may prove interesting as well as instructive to investigate the matter further. The fundamental idea of a Balance Sheet is that it is a statement showing how the Ledger Accounts of a concern stand at a particular moment of time. It would be unnecessary if we could see and comprehend at one view the contents of a set of ledgers. As we are unable to do this we prepare a Balance Sheet, but why in the process the assets which are on the debit side and the liabilities which are on the credit side, as according to the principles of accounting they ought to be, should change places, it is im- possible to justify. The custom seems to have arisen through the influence of the forms given in Acts of Parliament, chiefly the Companies Act, 1862, which must have been prepared by those unacquainted with the theory of accounts. The Profit and Loss Account is taken from the Ledger, and the sides are not transposed, and there is no logical reason why the sides in the Balance Sheet should be reversed when the items in it are supposed to be the balances remaining in the Ledger, after certain balances have been taken to the Profit and Loss Account. In the accounts of public undertakings, such as railways, formed under the sanction of Acts of Parliament, when the receipts and expenditure on account of capital must be published, the Capital Account, in the form prescribed, has the items as they appear in the Ledger, but the Balance Sheet, the form of which is also prescribed, has the items reversed. The form of Balance Sheet in which the assets appear upon the left side is both theoretically the correct form and in practice is the most convenient form to use. It is the form adopted on the Continent, in America, and, in fact, through- out the world, with the exception of the United Kingdom. Until recent years it was the form almost universally adopted in Scotland. Prior to about the passing of the Companies Act, 1862, it was the form chiefly adopted in England, but is so no longer. It is known by the name of the Continental or Scotch form. The form prescribed in the original Table A of the Companies Act, 1862, had the liabilities on the left side, and this form has now been generally adopted throughout the United Kingdom. The Scotch form, however, is still largely used in Scotland, even for companies under the Companies Acts, which apply to Scotland. The practice is so diverse that there are firms of accountants in which one of the partners invariably uses one form and the other partner as invariably the other. It is certainly most desirable that the form of Balance Sheet with the assets on the left side, which is founded on correct principles, should become universal, but this could now, in view of existing statutes where the form which is contrary to the true principles of accounting is prescribed, only be brought about by an Act of Parliament. Such an Act would no doubt cause a little temporary inconvenience, but this would be nothing compared to the advantage of having tin I 74 A ceo UN TING IN THEOR Y AND PR A CTICE BALANCE SHEETS 75 J5 all Balance Sheets uniform and conforming to the best traditions, and the accepted practice of the rest of the world. As, however, it is most desirable that uniformity should be observed, and considering that by certain Acts of Parliament and Orders by the Board of Trade and Local (Government Boards forms are prescribed in which the liabilities appear on the left side, and as, after all, when one gets used to the form there is no risk of con- fusion, the student should adopt the English form always. It is supported on the ground that, as the Balance Sheet is the account of a concern, that concern should be credited with all the assets and debited with all the liabilities of the concern. The objection to this is, that the statement is not an account at all but a balance or abstract of the ledger balances. Whichever fomi is used, the contractions " Dr." and " Cr." should never be put upon a Balance Sheet, because, as already stated, it is not an account. The simplest way of avoiding confusion on this point when dealing with Balance Sheets is to regard every Balance Sheet as a Schedule consisting of two parts set side by side, one part setting out the Assets and the other the Liabilities,' and to abstain from regarding the items on the two sides as either debits or credits, but to look upon them as merely assets and liabilities as designated by the list-headings. A Full and Fair Balance Sheet. The Companies Act of 1862 did not specially state how the Balance Sheet of a company was to be prepared, but the original Table A or model Articles of Association appended to the Act laid down in Clause 81 that the Balance Sheet should contain " a summary of the property and liabilities of the company arranged under the heads appearing in the form annexed " to that table, or as near thereto as circumstances admitted. The form referred to in this clause was not included in the Kevised Table A issued by the Board of Trade on 30th July 1906. Clause 94 of the original Table A laid down that the auditors' report should state whether in their opinion the Balance Sheet was " a full and fair Balance Sheet " containing the particulars required by the company's Articles and " pro- perly drawn up so as to exhibit a true and correct view of the company's affairs." Section 21 of the Companies Act, 1907, prescribes that every public company registered under the Companies Acts shall file a copy of its annual Balance Sheet, giving such particulars as will disclose how the value of its fixed assets have been arrived at. The phrase " full and fair Balance Sheet " is still retained in Auditors' Reports on company Balance Sheets. The Balance Sheet, whether of a company or of a private concern, should be, as mentioned above, " full and fair." All the assets should be stated at their fair value, and the liabilities should be fully shown. The Balance Sheet should not conceal any weakness in the financial position of the concern, but should give the fullest information to the shareholders and the general public, consistent, of course, with the proper conduct of the business. In some cases it might be advisable not to reveal too much in consequence of the competition of similar concerns, but what is really the failing of Balance Sheets is that they reveal too little and not too much. The Balance Sheet formerly given in the Scotch form is now given in the English form, but it has been varied slightly to show a better method of grouping the assets, and it has further been assumed that the Balance Sheet is that of a company with a paid-up capital of £700. Balanxe Sheet as at 31st December. (English Form.) Liabilities. Assets. Due to Creditoks — On open accounts On bills payable £600 280 £880 Rent accrued to date 20 o Due to Shareholders — Capital . . £700 Undivided profit 610 1210 £2110 Due by Customers — On open accounts . On bills receivable . Goods on Hakd Cash — In bank £95 On hand . 65 £950 300 £1250 700 160 £2110 76 ACCOUNTING IN THEORY AND PRACTICE BALANCE SHEETS 77 ; • The following might have been the Profit and Loss Account of this company for the year : — Profit and Loss Account for the Year. Expenditure. Income. To Cost of goods . £2200 ,, Rent 70 ,, Wages . 200 ,, Discount 20 ,, Protit for year 610 £3000 By Sales £3000 £3000 If the Balance Sheet in the English form and the Profit and Loss Account of this company were printed in the annual report to the shareholders, as is usually the case, it will be observed that the net profit of £510 would appear on the left side of the Balance Sheet, and also on the left side of the Profit and Loss Account. It is more in keeping with our ideas of book-keeping by double entry that these items should appear on opposite sides, as they would do if the Scotch form of Balance Sheet were adopted. Arrangement of Balance Sheets, Much skill may be displayed in grouping the various items of a Balance Sheet so as to give the fullest information in the form in which it will be most readily understood, and most available for the purposes for which the Balance Sheet is to be used. In arranging the assets a very good rule is to place them in the order in which they are easiest of realisation ; that is, to begin with the assets which are most easy to realise, and conclude with those which would be most difficult to realise. Under this method the most available asset, namely cash, whether in hand or in bank, would come first, although it is often placed last on the footing that it is an asset which is already realised and is on hand, available to meet any of the liabilities. As cash, whether in bank or in hand, is equally available, the amount in bank and in hand should, although shown separately. be added together and appear under one leading heading. Any investments, which could be immediately realised, would follow the cash. The amount due by customers or trade debtors should come next, and, under branch headings, the amount due by customers in respect of bills receivable and on open accounts should be shown separately, as a debt due under a bill receivable is more directly available to liquidate any liability, and is less likely to be success- fully disputed, than a debt due on an open account. The open accounts should be classified into "good" and "doubtful," and any provision or reserve for loss, either through bad debts or discount, should be deducted from the total before carrying out the amount into the main column. Goods on hand which are manufactured or ready for sale come next. Then goods which are in process of manu- facture and to be used in manufacturing and stores. There- after the value of fixed plant, machinery, and other similar assets should be given in detail, and any additions on account of expenditure during the period embraced by the accounts, and deductions in respect of depreciation, should be shown. Any heritable property, whether in land or buildings, would come next Thereafter the less real and more speculative assets may be given, if there are any, such as patent rights, copyrights, and goodwill The liabilities due to outside creditors should be stated before the liabilities to shareholders or owners of the busi- ness, although in the form prescribed by Table A, and already referred to, this was not done. The liabilities to the public should be stated in the order of priority of the claims, or of the powers the creditors have of enforcing them. The amount due to unsecured creditors should be given first, and it is well to show separately the amounts due to creditors under bills payable and on open accounts. The sundry unpaid but accrued charges for rent, taxes, wages, etc., should come next. Mortgages against heritable property sometimes appear among the assets as deductions from the property conveyed in security, but it is better as a rule in the accounts of a going concern to show them among the liabilities. Borrowed capital, whether in the form of k I! 78 ACCOUNTING IN THEORY AND PRACTICE Balance Sheet as at Liabilities. Trade Creditors : — Due under bills payable . £ Due OD open accounts . Sundry Charges accrued TO DATE : — Rent . £ Taxes . Wages, etc. . Loans over Heritable Property : — Amount due over the security of £ Interest due and ac- crued Other Loans (including interest to date) Amount due to aatside creditors . . . £ Due to Shareholders : — Capital . £ Reserve Profit Were there a debit balance on the Profit and Loss Account, such debit balance should be deducted Irom the amount due to shareholders. Assets Cash — On hand In bank Investments . Due by Customers :- Bills receiv- able . . £ Open ac- counts : — Good Doubtful . Deduct — Reserve for d iscount and bad debts . Stock on Hand as valued by £ Manufactured goods . Goods in pro- cess of manu facture Raw material Stores . Plant, Machi- nery, etc. : — Amount in last Balance Sheet . . £ Expended since . Deduct — Depreciation . Heritable Property : — Land . £ Buildings Goodwill and other assets of an indetermin- able or contin- gent value . £ DOUBLE ACCOUNT FORM OF BALANCE SHEET 79 ordinary loans on personal security or debentures, should then be detailed. After stating all the liabilities to outside creditors, and showing the total due to such creditors by summing the amounts, the amount due to partners or to shareholders should be given separated into capital, reserve and undivided or unallocated profit. The liabilities and capital should never be stated and summed altogether as one, but the amount due to outside creditors and to the shareholders should be shown separately. In the case of a limited company a debit balance on the Profit and Loss Account should not be entered among the assets, but should be deducted from the capital or other sums due to the shareholders. THE DOUBLE ACCOUNT FORM OF BALANCE SHEET The double account form of Balance Sheet, as it is called, which is prescribed for companies formed to undertake public works under sanction of Acts of Parliament, is of some interest. Its distinctive feature is that, since the money authorised to be spent is provided for a specific purpose, such as the construction of a railway, the fixed assets and fixed liabilities are separated from the floating assets and floating liabilities of the concern. The fixed assets and fixed liabilities are kept in an account called the Receipts and Expenditure on Capital Account, and the floating assets and floating liabilities form the General Balance Sheet of the concern. The Capital Account is credited with the capital receipts, whether in the form of share capital or loan capital, and is debited with the capital expenditure incurred in acquiring the property or con- structing the works for which the capital receipts were expressly authorised by the special Act of Parliament to be received. The excess of the capital receipts over the amount expended as capital expenditure shows the amount of the capital receipts which have not been applied to their specific purposes and are still available ; while any excess of capital expenditure over capital receipts shows the f f * 80 ACCOUNTING IN THEORY AND PRACTICE expenditure of revenue in fixed assets in addition to the capital receipts authorised to be so spent. The balance of the Capital Account is carried to the General Balance Sheet, and represents either the indebtedness of capital to revenue or revenue to capital. In such cases the ordinary rules for the valuation of assets do not apply. The capital is raised for a certain purpose, and must be expended on that purpose. The Capital Account is for the purpose of seeing that the money contributed for any public work is used for the construction of such works. The idea is that no further sums should be spent on such capital expenditure once the total has been expended, but that the works should be kept in repair and in a state of efficiency out of the revenue receipts. Parliament having made these provisions thought it unnecessary to stipulate for the periodical valuation of the works themselves, and practically said that as these works would be permanently carried on they might be valued at their initial cost, and this Capital Ex- penditure Account will show how much they have cost and what proportion of the sum authorised to be borrowed 01 received by the company from its shareholders is still on hand. Even, however, in accounts kept upon the double account system, allowance for depreciation may be made in the General Balance Sheet, where the floating assets and liabilities are shown as distinct from the capital assets and expenditure shown in the Capital Account. While the Act under which the Capital Account is kept makes no provision for depreciation, a Depreciation Account may be formed out of available revenue, and the balance of this account will faU to be included as a liabUity in the General Balance Sheet. It should be remembered, however, when fixed assets are maintained out of revenue, as is done in such undertakings, that an annual depreciation provision is un- necessary; the limit of such provision is the sum required to bring down the book values of the assets to their second- hand values, at which they are maintained in efficiency. The figures in the example should be read as thousands of pounds instead of pounds. DOUBLE ACCOUNT FORM OF BALANCE SHEET m H iz; < < En O s s t 8 OQ CO O oO O Eh -2 « S «« « be o ::3 -M jf • •'"' o *-• O J5 r? a> ^ 03 rt 3 O o 0"< a k f- <3i OCQ O G wmw i II 83 ACCOUNTING IN THEORY AND PRACTICE General Balance Liabilities. Sheet as at 31st December. Assets, Net Revenue Account . Unpaid dividends and interest . Guaranteed dividends and interest pay- able. Temporary loans . Debts due to other com- panies Sundry outstanding ac- counts Fire insurance fand on station works and buildings . Insurance fund on steamboats Depreciation Account . £1000 10 100 400 1000 3300 90 100 2000 Capital Account — bal- ance at debit . . £2000 Cash at bankers, cur- rent account . Consols and Govern- ment securities Shares of other com- panies not charged as capital expendi- ture . . . • General stores, stock, and material in hand Traffic accounts due to 300 3000 1000 the Company . Amounts due by other companies Amounts due by Clear- ing House Amounts due by Post Office Sundry outstandini? ac- counts . £8000 1000 500 20 30 10 140 £8000 STATEMENTS OF AFFAIRS AND STATEMENTS OF ASSETS AND LIABILITIES A STATEMENT SHOWING THE ASSETS AND LIABILITIES OF A CON- CERN WHICH IS NOT PREPARED FROM A SET OF BOOKS PROPERLY KEPT ON THE PRINCIPLES OF DOUBLE ENTRY WHERE ALL THE LEDGER ACCOUNTS ARE BROUGHT TO A PERFECT BALANCE, BUT IS PREPARED, EITHER WHOLLY OR PARTLY, FROM INFORMATION GOT OUTSIDE OF, AND NEVER INCORPORATED COMPLETELY IN, LEDGER ACCOUNTS, IS CALLED A " STATEMENT OF AFFAIRS." A Statement of Affairs and a Balance Sheet are often confused, but, while both statements deal with the same subjects, it is best to keep strictly to the definitions which have been given. A further distinction is also desirable between a Statement of Affairs of a solvent concern and such a state when prepared of a bankrupt concern for the information of creditors. The Statement of Affairs prepared STATEMENTS OF AFFAIRS IN BANKRUPTCY 83 of a solvent concern, where the books are kept by single entry, is best designed as a Statement of Assets and Liabihties. A Statement of Affairs for creditors, being prepared for a special purpose, is further removed in form from the Statement of Assets and LiabiHties of a goincr concern than a Balance Sheet, of which they are both varieties. When it is proposed to place the books of a con- cern on a proper footing, which have not hitherto been kept by double entry, a Statement of Affairs or Statement of Assets and Liabilities is prepared on the same Hnes and showing the same facts as a Balance Sheet would have done had proper books been kept, and from this statement the new set of books is properly opened. StaterrwrU of Affairs of a Bankrupt A Statement of Affairs of a bankrupt, when prepared for the information and guidance of the creditors, is best amnged slightly differently from an ordinary Statement of Affairs of a going business. Such a statement should show on the one side, under appropriate heads, all the liabilities of the business at the date of the state, whether actual provisional, or contingent, distinguishing whether these liabihties are preferable or ordinary, or are secured partly or wholly by certain of the assets of the concern beinc. held by certain of the creditors, in security of their claims" On the other side all the assets of the concern should be shown valued either on the footing that the business is a goinc^ concern, at break-up prices, or on some other fixed principle of valuation, according to the purpose for which the state- ment is required. Such a statement should show clearlv these assets which are free to be divided among the ordinary unsecured creditors and those which are subject to special liabihties or claims, which must be Hquidated out of such assets before the balance of the amount realised for these assets IS available to meet the claims of the ordinary c editors. Sometimes it is advisable for the accountant to submit a Statement of Affairs prepared on the footin- of tbe business as a going concern, together with a sintilar statement on a break-up basis. The Statement of Affairs f ACCOUNTING IN THEORY AND PRACTICE STATEMENTS OF AFFAIRS IN BANKRUPTCY 85 is specially prepared with the view of revealing the condition of the affairs of a concern and the probability of the different creditors, preferable, secured, partly secured, and ordinary, receiving payment in full or having to accept a dividend on their claims. In preparing such a statement, therefore, an investigation is required which goes beyond ordinary book- keeping, but it is usually most satisfactory if the statement is prepared on the basis of the properly balanced books of the concern, and supplemented from other sources. The statement should contain not only all the liabilities that may appear on the debtor's books, but all others which may be enforcible, and even contingent claims, such as any liability through the bankrupt's name being upon bills of exchange which have been discounted by the bankrupt, or otherwise put into circulation with his name upon them, and which may not be met at maturity, should be included. Preferable claims for taxes, rent, wages and salaries, so far as they are preferable and require to be paid in full out of the assets of the estate, should be deducted from the assets in order to show the net estate available for division among the ordinary creditors, although the details of all such preferable claims should be entered among the Uabilities but not included in the total. The claims of fully secured creditors are entered on the Liabilities side, but the amounts are not carried out to the total column, but are deducted from the assets forming the specific security held, the balance only of these assets, being the amount not required to meet the claims, is available for the ordinary creditors, and is entered in the Assets column. Claims partly secured are entered among the liabilities, and the amount to which they are secured is deducted from them, and the balance which is unsecured and which will fall to receive a dividend with the unsecured creditors appears in the Total Liabilities column. The corresponding asset appears in detail among the assets, but its value is not extended in the Total Asset^ column. The object of these adjustments is to show clearly the net assets which will be available for the ordinary creditors, and the total amount of the claims of the ordinary creditors' which will come against the available assets. A Statement of Affairs should always have appended to it schedules showing the fullest particulars of the different entries which appear in the state in slump. Thus the names and addresses of the creditors should be given, the nature of the debt, whether a trading debt or for borrowed money, and the particulars of any security held. The assets of an insolvent estate are usually more difficult to ascertain and value than the liabilities. Even where the book or nominal valuation can be ascertained, it is usually necessary to write down that value considerably, to show what will be the amount likely to be received! The bankrupt himself is often of great help in such matters,* but it is often advisable, in order that the creditors may have before them a statement which they can rely upon as giving a correct view of the estate, for the accountant to call in an expert who, from his personal knowledge and experience, is in a position to fix accurately the value of the assets on the footing of the business as a going concern, or to determine their break-up value. It is always desirable to show the nominal or book value of the assets, together with what they may be expected to produce on realisation, as it enables the amount of the difference which is due to a forced realisation to be determined. The book debts should be classified into good, doubtful, and bad. The doubtful debts are included at the figure they are expected to produce, and the bad are of course merely shown upon the face of the state, but are not included in the addition of the assets. The assets most readily realisable are placed first, and those least realisable last in the state. The dividend shown to the ordinary creditors, exclusive of expenses of realisation, is given ma note. In the case of the insolvency of an individual, his private assets, such as his household furniture, his Hfe policy, and the value of any expectancy he may have to succeed to property, must be included in his Statement of Affairs. From the Statements of Affairs submitted the above explanations will be better understood, but the efficiency of the method of displaying all the assets and liabilities at one glance, and of the various deductions and cross references, can only be appreciated and learned in actual practice. % 86 A ceo UNTING IN THEOR Y AND PR A CTICE STATEMENTS OF AFFAIRS IN BANKRUPTCY 87 T. BROWN & CO.. Statement of Affairs MERCHANTS, LONDON as at 31st December. I Showing the Gross Liabilities, the Liabilities expected Ordinary Creditors, the Cost or Book Value of the Assets, Liabilities Ordinary unsecured creditors : — Trade creditors Loans Creditors on heritable bond fully secured Deducted from Assets. Creditors partially SECURED . . . £1300 Deduct — Value ofsecurity per Assets 1000 Contingent liability in respect of bills discounted by Bankrupt, and accom- modation bills, to amount of £8000, of which there will rank on this estate Preferable claims : — Rates and taxes . . .£60 Wages 50 Rent 100 Deducted from Assets £210 Grofls Liabilities. £ s. d. 8,000 2,000 10,000 7,000 1,300 1,500 210 20,010 Expected to rauk. £ t. d. 8,000 2,000 10,000 300 1,500 11,800 to rank against the Assets available for division among the and the Amount the Assets are estimated to realise. Assets Cash : — On hand ....... In bank GrOODS Customers' accounts : — Good .... £4000 Doubtful (estimated to realise £100) . . 650 Bad .... 1200 £5850 Machinery, fittinos, fixtures, uten- sils, etc Heritable property .... Valued at . . JtQOOO Deduct — Bond, per Liabilities . 7000 Investments assigned to creditors Valued at . . £1000 and deducted from Liabilities. CJost or Book Value. £ 8. d. 30 250 280 1,300 5,850 3,000 12,000 1,500 23,930 Deduct — Preferable claims per Liabilities Assets available for division among the ordinary creditors Equal to a dividend of 13s. 9d. per £ on claims of £11,800, exclusive of expenses of realisation. Deficiency Estimated to realise. £ 8. d. 30 250 280 950 4,100 1,000 2,000 8,330 210 8,120 3,680 111,800 gg ACCOUNTING IN THEORY AND PRACTICE T. Brown & Co. Deficiency Account, To Loss from shrinkage in value of assets, as shown in the State of AflFairs : — Groods . . . £350 Customers' Accounts 1,750 Macliinery, etc. . 2,000 Heritable property 3,000 Investments. . 500 «i £7,600 Loss through lia- bility in respect of bills discounted and accommodation bills 1,500 Cash drawn by part- ners : — First year £2000 Second year 5000 Third year 3500 10,500 £19,600 By Capital— cash put into business at commencement £5,000 „ Profit shown by accounts : — First year £5000 Second year 3000 Third year 2920 10,920 „ Deficiency, as per Statement of Affairs . . 3,680 £19,600 I The Statement of Affairs of T. Brown & Co., and the relative Deficiency Account, are worth careful study. The firm is supposed to have been in business for three years. They started with a capital of £5000. Their accounts show that their profit for the three years was £10,920, and their drawings amounted to slightly under that, namely £10,500. At the end of the three years, therefore, as shown by their books, the capital they had in the business was £5420. That this was the capital at the date of the Statement of Affairs is seen from the following statement : — The book value of the assets was . . £23,930 The gross liabilities, after deducting the contingent claim of £1500, was . . 18,510 Leaving as the capital £5,420 STATEMENTS OF AFFAIRS IN BANKRUPTCY 89 In spite, however, of having this capital, the firm had been reckless in incurring liabilities, and were unable to meet their obligations, in consequence of which they had to suspend payment, as otherwise certain of the creditors would have secured payment at the expense of the others. The Deficiency Account shows clearly how from loss on a forced realisation an apparently solvent firm may pay a very small dividend. A Deficiency Account. The Statement of Affairs of a bankrupt, showing the amount of his deficiency, should, where possible, be accom- panied by a Deficiency Account, showing in detail the causes of the bankruptcy. Such an account should be credited with the capital at the commencement of the business or at the last ascertainable date of solvency, and the capital since put into the business, together with any profit earned. The Deficiency Account should be debited with all losses made as shown in the accounts of the debtor, together with the loss and shrinkage on assets as valued in the Statement of Affairs. The account should also be debited with the debtor's drawings. The balance of the account should be the exact amount of the deficiency, as shown by the Statement of Affairs, if the books have been correctly kept and due allowance made for all differences on valuation. A Deficiency Account when carefully prepared is of great value in determining the causes which have led to insolvency. Examjple, From the foUowing particulars, which have been taken from the books of the insolvent debtors and other sources of information, a Statement of the Affairs as at 30th June 1899 of Boss & Todd, who are unable to meet their liabilities, and have suspended payment, has been prepared, and is submitted. There is also given a Deficiency Account ex- plaining the deficiency: — 90 ACCOUNTING IN THEORY AND PRACTICE STATEMENTS OF AFFAIRS IN BANKRUPTCY 91 II Particulars. Gash on hand ..... Customers' Accounts : — Good Doubtful, £300, estimated to produce Bad Goods valued at ... . Heritable property, cost £3 000, estimated to be worth .... Note. — ^This property is assigned to creditors for £2300. Shares held ..... Note. — These shares are assigned in security of a debt of £400. Creditors : — Ordinary unsecured — On open accounts On bills payable .... Partially secured by shares Fully secured over heritable property Preferable claims for taxes, wages and salaries .... Partners' drawings : — W. Ross R. Todd ..... £200 2000 100 500 1900 2500 150 5000 1000 400 2300 100 2000 2850 ^ ^ ^ it o 5 CM o o 00 00 o o C4 t-i , 00 1 £4300 1950 00 o C P O o o 3 O O 00 00 o 00 o o O r-t •s .a 'rs O o ea o . B '■iS o ai o O o CO 10 l-H 99 p o a 9 o 09 o o CO PQ o o ISOQ CQ o When the business was commenced on 31st December 1 8 9 6, W. Ross put into it £2 5 and R Todd £2900. The first year resulted in a profit of £3000, but the next eighteen months showed a loss of £4300. No provision was made in the accounts for bad debts. From the above particulars the student should carefully prepare a Statement of Affairs of the firm as at 30 th June 1899, and should thereafter prepare a Deficiency Account. When he has got the Deficiency Account properly balanced he should compare his results with the Statement of Affairs and Deficiency Account now submitted, which differ in several points from the example already given. I o 01 •8 ^ O Q Pi p- ^ g Q 3 •? o w • • 2> 0) •f-i J oJ2 n CQ OQ 1-4 ® . bo « "^ - car;: on Ot* 00 O -tJ 00 a) p £3 00 o 5 «8 ^ 'O OQ g.^ 9 O »rs I— I S ►< S «« ® o a « ► S •^ to ei H * «5 09 ^ S ® o S -1^ -5 2 s^- 2 .2 »2 00 00 00 00 o o o o o <0 o o Mi I • o o eo o o o r- 1 PS o ^ H 05 •-* d d goo o K n M » OS H a o H O PQ s •< a Q M H 00 < O 3 S • 00 d . en a> J? QQ 2 " o ^ 9^ ACCOUNTING IN THEORY AND PRACTICE %\ P O H •« & GO O I i oo oo 2<=> oo (N(N O O o to rt« Ok o o o CO I a eS 00 ec O a <0 J3 o -g I •la n o o n -♦J O a a o «^ o o o o o CO o o 00 l-H o o o o o o o © kO o 00 eo •^ t^ ^11 CO fi S o o o O) 00 00 'r* 90 si -a IS 3 o OQ CO 00 O 0-8 00 § a o oo « .8 00 O >>00 ^ l-H ° s 0) u u o m a s ooo ooo ooo ooo to U3 C4 oo oo £2000 2850 % t3 d o 9 bO -^ I ^ CO 00 Jj en Q 5g (D V« fl -a C.2 ea g OO 1^ 00 A no(i4 3B fee 2 ^3 l^'rt O H I STATEMENTS OF AFFAIRS IN BANKRUPTCY 93 1. From the following information prepare a Statement of Affairs for the information of creditors : — The Heritable Land Society Unsecured creditors . • • • £200,000 Creditors fully secured on property • ■ 6,000 Property held by secured creditors £12,000 Creditors for rates, taxes, and wages (preferential) 300 Bill of exchange (good) 22 Book debts 27,000 Good, £1000. Doubtful, £25,000 (produce £2000). Remainder bad. Property .... 56,000 Loans on mortgage (pro- duce £60,000) . 170,000 Office furniture 100 Cash at bankers 900 Cash on hand . 100 2. Wallace & Gribb, Merchants, are unable to meet their obligations. From their books and their own testimony the following particulars of their condition are ascertained : — £50 Cash on hand ....... Customers' Accounts : — Good 1000 Doubtful, £100, but estimated to produce . 60 Bad, £200 Property (estimated to produce £2000), cost 3000 Bills receivable, good ..... 800 Other securities (£800 pledged with partially secured creditors ; remainder held by the fully secured creditors) ...... 7000 Stock Exchange losses . . . . .3000 Trade expenses 2300 Creditors, unsecured 6000 94 ACCOUNTING IN THEORY AND PRACTICE Creditors, partially secured Creditors, fully secured Preferential claims : wages, salaries, and taxes Wallace, capital Gibb, capital . Wallace, drawings . Gibb, drawings Business losses £6300 4000 160 2500 3900 2000 1 500 1900 Prepare a Statement of Affairs, showing the liabilities and the assets with respect to their realisation and liquida- tion ; also a Deficiency Account, showing such of the above stated particulars as would account for the deficiency shown by the Statement of Affairs. 3. William Arnot, a Liverpool merchant, tradin I h ( 98 ACCOUNTING IN THEORY AND PRACTICE The Head Office Account in the Branch Ledger, where the profit was shown in the branch books, would simply be credited with the net profit earned by the branch. If the profit was not shown in the branch books, the accounts in these books relating to profit would be closed by being transferred to the Head Office Account, as follows . — Head Office Account. Jan. 1. To Stock Dec. 31. ,, Purchases ,, Expenses ,, Balance £200 1600 300 500 Dec. 31. By Balance .. Sales £2500 £500 2000 £2500 It will be observed that the account is debited with the stock at the beginning of the year, because the stock would not be entered in the books of the branch if it was not desired to show the profit in these books. DEPARTMENTS In businesses, where it is at all possible, it is usually of great advantage to keep Departmental Accounts. A merchant who keeps such accounts is able to tell which departments of his business pay best, and which depart- ments are not so remunerative, or may even be involving a loss. He knows, therefore, which departments of his business he should further develop, and he will endeavour to put the departments which are unremunerative upon a satisfactory footing. Thus, a tea, coffee, and spice merchant, by keeping separate accounts for each article in which he deals, ascertains the gross profit he is making on the separate articles. It is quite possible that a merchant may make a loss on a certain class of articles, but may be willing to continue to sell at an unremunerative rate in order to encourage the sale of other articles upon which his profit is satisfactory. To enable separate departments to be kept all DEPARTMENTS 99 that is necessary is to have the Invoice Book and Day Book ruled with money columns for each separate department, and a column for the total Where sales and purchases in the various departments are not made with the same people, separate Invoice Books and Day Books for each department may be kept, but, as a rule, the columnar method works more satisfactorily. The Invoice Book and the Day Book of John Dent, whose transactions are given in the first exercise, are as follows : — Invoice Book Total. Silk. Cloth. Velvet. Jan. 2. 8. Dec. 3. 6. To Webster k Co. ,, Bank , , Webster t, Co. M do. £ 8. d. 1300 400 2100 2200 £ 5. d. 800 1200 £ 5. d. 500 900 £ t. d, 400 2200 6000 2000 1400 2600 Day Book Total. Silk, Cloth. Velvet. £ s. d. £ 5. d. £ 8. d. £ 8. d. By T. Henry 1300 600 700 ,, Cash . 800 800 „ T. Henry 4600 1500 1200 1900 ,, Cash . 400 400 ,, John Dent, Capital Account 45 45 7145 2345 1800 3000 Exercises, 1. John Dent is in business as a silk, cloth, and velvet merchant. His Balance Sheet at the beginning of the year was as follows : — rfl lOO ACCOUNTING IN THEORY AND PRACTICE DEPARTMENTS II Assets. T. Henry . Bills receivable Bank . Stock on hand : — Silk Cloth . Velvet . • • » • . £200 , 300 . 600 « ■ . JBIOOO . 1500 900 1000 . 100 Furniture and fittings • • • £4500 Liabilities. Webster & Co., Bradf( Bills payable Capital 3rd • • * • • . £2000 . 800 . 1700 £4500 His transactions throughout the year were as follows :— Jan 2. Purchased from Webster &Co. ... Silk Cloth 3. Purchased for cheque . . Velvet . 5. Sold to T. Henry . . Cloth Velvet . 7. Received for bill receivable due to-day . Gave Webster & Co. bill payable in six months . . . • • 20. Paid bill due to-day . . • • July 2. Received for bills receivable due to-day . Received from T. Henry Sold for cash . . Silk . 10. Paid bill due to-day • • / Dec 3 Purchased from Webster & Co. Silk Cloth . Accepted bill drawn by Webster & Co. Gave them cheque . . . • £800 600 400 600 700 1000 3300 800 600 2300 800 3300 1200 900 2000 100 ll lOI Dec. 5. Purchased from Webster & Co. Velvet £2200 7. Sold to T. Henry . . . Silk . 1500 Cloth . 1200 Velvet . 1900 Sold for cash . Velvet . 400 Received from T. Henry bill at three months 4000 31. John Dent took in cash for his personal use 500 Drew from bank for personal use 350 Took for his personal use during year. . . . Silk 45 Paid wages 20 Rent and taxes paid .... 150 The stock on hand at the end of the year was as follows : — Silk 400 Cloth 300 Velvet . 708 Prepare accounts showing the profit separately on silk, cloth, and velvet. Prepare Profit and Loss Account and Balance Sheet as at end of the year, writing off 10 per cent from furniture and fittings for depreciation. 2. The following is the Balance Sheet as at 30th June of Tod & Dick, Wholesale Warehousemen, who are interested in the profits of the business in the proportion of two- thirds to Tod and one- third to Dick. The firm took stock on 31st December following, and after making all necessary reserves and adjustments the result was as set forth in the following particulars. Prepare the following : — (a) Trial Balance. {b) Departmental Trading Accounts, showing net profit of each department, (e) Final Accounts and Balance Sheet. I 102 ACCOUNTING IN THEORY AND PRACTICE DEPARTMENTS 103 Balance Sheet as at 30th June. Sundry trade creditors upon open account Sundry trade creditors upon bills payable Sundry cash creditors . • • Interest and discount reserved . . . Sundry creditors for rent, rates, taxes, salaries, and wages . . . • Capital — Tod . . . .£15,000 Dick .... 6,000 £10,000 20,000 40,000 1,000 1,000 i 1,000 £93,000 Balance at bankers .... Cash in hand ...••• Sundry trade debtors upon open account . Sundry trade debtors upon bills receivable in hand ....••• Sundry debtors upon loans .... Stock in trade • • Fixtures, fittings, and trade utensils Business premises ...... 31s/ December, Sundry trade creditors upon open account Sundry trade debtors upon open account . Bills payable Bills receivable on hand Balance at bankers Cash on hand Sundry cash creditors . Sundry debtors upon loans Fixtures, fittings, and trade utensils Business premises ... * Partners* drawings — Tod Dick . . . . • £1,000 100 40,000 2,900 1,000 40,000 1,000 7,000 £93,000 £18,000 29,000 10,000 3,000 2,000 100 28,000 1,000 950 6,500 1,000 400 Departmental Account Departments Stock, 30th June . Stock, 31st December Purchases .... Sales Working expenses (including depreciation) Nal. £28,000 27,000 51,000 56,000 6,700 No. 2. £7,000 6,000 10,000 15,950 1,300 No. 8. £5,000 5,000 9,000 14,000 1,000 Total. £40,000 38,000 70,000 85,950 9,000 3. From the following particulars prepare a Cash Book and a columnar Day Book and Invoice Book. Post into Ledger, and prepare Profit and Loss Account, showing separately the profit on cinnamon, nutmegs, and mace. Use the Journal for all entries not originated in the books above given, and prepare final Balance Sheet. Assets. Cinnamon on hand, valued at Nutmegs, do. do. Mace do. da Cash .... B. Adams Bills receivable W. Perkins Liability, Transactions during Year. Sold cinnamon for cash .... Bought nutmegs from W. Perkins Bought mace from T. Scott for . Paid him that sum, less discount, £3. Bill receivable became due, and was duly met Sold parcel of goods to B. Adams — Cinnamon ..... Nutmegs ...... Mace ...... Drew upon B. Adams for full amount now owing Paid W. Perkins And gave him a bill for . . £1200 750 300 . 2000 125 . 200 . £800 . £200 350 . 120 . 200 . 700 100 . 200 ^ 1125 500 . 500 I04 ACCOUNTING IN THEORY AND PRACTICE THE LEDGER 105 I r ii I' Sold goods for cash — Nutmegs ... ... JB800 Mace 200 Paid oflBce expenses . . . . . .100 The stock on hand at the close of the year was valued as follows — Cinnamon ...... 480 Nutmegs ...... 470 Mace (all sold) . • . « . 4. From the following particulars of the business of R Hay & Sons, Wine Merchants, prepare Departmental Accounts, showing the gross profit on whisky, brandy, and gin and wines, and Profit and Loss Account for the year. Whisky. £700 900 1500 2120 300 Brandy. Oin and Wines. £400 £6000 500 5000 1000 5800 1900 9500 200 2000 TotaL £7,100 6,400 8,300 13,520 2,500 Stock in hand 1st January . Stock in hand 31st December Purchases .... Sales Duty and charges The following additional payments and allowances have been made during the year : — Carriage . Wages and salaries . Stationery and stamps Kent Eates and taxes Discount allowed to customers Trade discounts received . £50 300 10 50 18 100 150 THE LEDGER, AND CLASSIFICATION OF LEDGER ACCOUNTS THE LEDGER IS THE BOOK OF ACCOUNT IN WHICH BUSINESS TRANSACTIONS ARE ARRANGED, CLASSIFIED, AND RE- CORDED SO AS TO SHOW HOW EACH PERSON STANDS IN RELATION TO THE BUSINESS, AND THE AGGREGATE EFFECT OF THE TRANSACTIONS. The financial statements of which a Ledger is made up are called Ledger Accounts, and are headed with a title descriptive of their contents. In each Ledger Account the transactions are separated into debits and credits. The money column on the left is reserved for the debit entries, and the money column on the right for the credit entries. The date and particulars are usually also separated, and where they relate to debit transactions are put upon the debit side, and where they relate to credit transactions on the credit side of the account. The main feature is that the Ledger should have separate money columns for debit and credit entries. The application of the terms "debit" and " credit " as applied to accounts is very easily followed in the case of an account headed with the name of a customer who purchases goods from the business. If he receives goods on credit it is clear that his account must be debited with the price of the goods, as he is indebted to the business for them. When the customer pays his goods he must get credit for having done so. The application of the words " debtor " and " creditor " to impersonal accounts is not so easily followed. Ledger Accounts. Ledger Accounts may be divided into : — 1. Personal : those showing the transactions with persons, as Customers' Accounts and Creditors' Accounts. 2. Impersonal : all other accounts. Impersonal Accounts may be divided into : — 1 . Real or property : those having to do with material matter, such as stores, raw material, and cash. 2. Nominal, or accounts affecting revenue : those recording facts as to profits and losses, such as wages and rent The Goods Account is only a pure real account when it shows the balance of goods on hand at the close of a fiscal period. At other times it partakes of the nature of a revenue account as well as of a real account io6 ACCOUNTING IN THEORY AND PRACTICE THE LEDGER 107 \ \ Personal Accounts. Personal Accounts are accounts with persons, and show the transactions between the business and the persons with whom there are transactions which require to be recorded as personal transactions. They resolve themselves into two heads, debtors and creditors, or sales and purchases in a manufacturing or trading business. By keeping the Debtors' Accounts in one ledger, and the Creditors' Accounts in another ledger, the accounts can be more easily referred to, and one clerk may be posting purchases while another is posting sales. The Debtors' Ledger is also entitled the Sales Ledger or Sold Ledger, and the Creditors' Ledger the Purchases Ledger or Bought Ledger. These ledgers may be further subdivided where required. Thus the Sales Ledger may be divided into Home Sales Ledger and Foreign Sales Ledger ; also Town Sales Ledger and Country Sales Ledger. The customers in the Town Sales Ledger may be arranged alphabetically, and the Country Sales Ledger may be arrantred so that the Customers' Accounts in the different towns may come together, and the towns themselves may appear in alphabetical order. Real or Property Accounts. Real or Property Accounts are those which represent cash and real goods of all kinds, such as land, buildings, plant, machinery, patents, stocks, ships, shares, goods, merchandise, consignments, and assets of all descriptions except Customers' Accounts, which are personal. Nominal Accounts. Nominal Accounts are those which represent income or expenditure, such as wages, salaries, travelling expenses, general expenses, rents, taxes, gas, water, etc. The Real and Nominal Accounts should usually have a ledger to themselves. In such a ledger the Real Accounts should come first, and the others should follow in the order in which they appear in the Profit and Loss Account To balance Ledgers separately. It is usually advisable where a merchant's transactions are numerous to keep his accounts so that his ledgers may be balanced separately, as by this means any errors in the books may be at once localised, and the difficulties of tracing them, and the time thereby wasted, very much reduced. A merchant also often wishes to know the total amount due by his customers and the amount that he is due to his creditors, and it is a considerable advantage if this can be ascertained without balancing the individual accounts and preparing a Statement of Ledger Balances in the usual way of the Customers' Ledger and the Creditors' Ledger. It is a considerable advantage if the General Ledger, which contains the accounts relating to property, profit and loss, and capital, can be balanced independently of the individual accounts of the customers and creditors. The ledgers kept in a merchant's business are usually three, as follows : — 1. The Customers' Ledger, containing the individual accounts of each customer or trade debtor. 2. The Creditors' Ledger, containing the individual account of each trade creditor. 3. The General Ledger, containing all the other accounts, being those which relate to property, profit and loss, and capital. To enable these three ledgers to be balanced in- dependently of one another, the books of original entry are kept so that all the items which are to be posted to the Customers' and Creditors' Accounts are arranged in money columns so that the totals of these columns can be posted to accounts kept in the General Ledger, headed " Customers' Accounts " and " Creditors* Accounts," or " Customers' Ledger " and " Creditors* Ledger." With only a Customers' Ledger, a Creditors* Ledger, and a General Ledger this would involve columns in the Cash Book for the receipts on behalf of customers and payments to creditors, any occasional payments to customers or receipts from creditors being adjusted by deductions from the respective columns in the Cash Book or by a Journal i. 11 I I I io8 ACCOUNTING IN THEORY AND PRACTICE entry. The " Customers' Accounts " and " Creditors' Accounts " in the General Ledger are practically abstracts of the Customers' and Creditors' Ledgers, and may with advantage be headed " Abstract of Customers' Ledger " and " Abstract of Creditors' Ledger." Sometimes the two accounts in the General Ledger are headed " Abstract of Customers' Accounts " and " Abstract of Creditors' Accounts." The " Customers' Account " is opened by having placed on the debit side in one slump sum the total balances due by customers at the date of opening the account There would also be on the debit side the goods sold to customers as shown by the weekly or monthly totals of the Day Book, and on the credit side would appear the cash received from customers, goods returned, and discount allowed to customers. The General Ledger can thus be balanced independently of the Customers' and Creditors' Ledgers, and when the balances of these ledgers are ready, the statements of ledger balances would show the same balances as are shown by the Customers' and Creditors' Accounts in the General Ledger. Sometimes a customer has also an account as a creditor, and all transfers between his two accounts must be entered in the Customers* and Creditors' Accounts in the General Ledger, as well as in his individual accounts. By this method the General Ledger contains all the particu- lars necessary to balance the books, and immediately the books of original entry are written up, summed, and their totals posted, and the General Ledger Accounts completed, the Profit and Loss Account and Balance Sheet of the concern may be prepared. The Customers' and Creditors' Ledgers may be posted up, and the individual accounts balanced off, and statements of the balances prepared as found convenient One of the great advantages of the method is, that by it any mistakes in the books are at once localised, as it can be ascertained whether the mistake is in the Customers* Ledger, the Creditors' Ledger, or the General Ledger. Thus, if the Trial Balance of the General Ledger " is out," by preparing the Statement of the Customers' Ledger Balances, and comparing the total amount thereby shown to be due by customers with the balance shown by the Customers' Account, THE LEDGER 109 and by comparing the total amount due to creditors as shown by the List of Creditors' Ledger Balances with the balance shown in the Creditors' Account in the General Ledger, the error may be localised into one or other of the ledgers. If the total of the Self-Balancing Ledger does not agree with the balance shown in the abstract account in the General Ledger, of which the Trial Balance agrees, then since the error must be in the Self-Balancing Ledger, by taking a Trial Balance of the Self-Balancing Ledger, showing the totals of the two sides of each account, the sum of these totals should agree with the totals of the abstract account in the General Ledger, and so the error may be still further localised to one side of the Self - Balancing Ledger. Again, the Customers' Ledger and the Creditors* Ledger may be further subdivided. Thus the Customers' Ledger may be divided into a ledger for Town Accounts and another for Country Accounts. In this case it would be necessary for the Sales Day Book to have two money columns, one for town items and the other for country items. Or a method which works even better in practice is to have one Sales Day Book for town customers and another Sales Day Book for country customers. To make a ledger belonging to such a system of accounts as has been indicated absolutely self-balancing, it is only necessary to have in it an abstract similar to the one in the General Ledger, but with all the items which appear on the debit side in the General Ledger on the credit side in the abstract account in the other ledger, and the items which appear on the credit side in the General Ledger on the debit side. The method of keeping such accounts is shown in the third method of recording the transactions of William Wood given on pages 32 to 39. To analyse the Accounts %n a Ledger, It is sometimes necessary where a set of books is being checked or investigated to prepare a complete analysis of the Ledger Accounts so as to show the sources 1^ no ACCOUNTING IN THEORY AND PRACTICE Analysis of the Ledger of William Wood Fol. Name of Account. Dr. Balances at beginning. Caah. Discount. J. Oollins W. Simpson Jack k Co. Scott & Tait . Bills payable . Bills receivable Goods . Rent ■ Wages Discount . Capital . Add— Cash Sales Cash Purchases Balances : — Bank . Caiih £ s. d. 800 £, s. d.\ £ *. d. 285 200 770 400 600 35 15 100 100 300 I 600 150 50 40 95 C5 1900 2705 15 10 Day Book. JouniaL £ s. d. 500 1830 650 £ 5. d. 280 400 500 300 2300 20 20 45 3000 3780 8000 6780 THE LEDGER III TAKEN BEFORE MAKING THE TrIAL BALANCE Cr Balance* at end. £ B. d. Cr. Balances at beginning. 370 230 280 100 £ t. d. Cash. Discount. Invoice Book. £ B. d. £. 5. d. 760 40 1230 300 £ s. d. JoumaL 490 370 400 1000 £ 5. d. 500 300 400 280 495 5 700 1680 1600 1900 3000 20 150 50 2705 40 Dr. Balances at end. £ s. d. 300 650 300 50 200 20 45 2300 4480 2300 6780 95 65 1680 112 ACCOUNTING IN THEORY AND PRACTICE CHECK LEDGERS "3 I. from which the various items in these Ledger Accounts are derived. The analysis is carried out on a large sheet of paper ruled with perpendicular money columns, with a column for the folio of the book of original entry before each money column. Each account is taken, and each item of the account is entered in the analysis sheet in its appro- priate column. Where the folio in the book of original entry is given this also is entered on the analysis sheet. Thus the debit columns in the analysis sheet would begin with a column for the debit balances, and the other columns would be for the items in the books of original entry, such as the Sales Day Book, the Cash Book, and the Journal, together with a column for any credit balance entered on the debit side before closing off the account. As already pointed out, the folio of the book of original entry is entered against each item. The items on the credit side of each account are treated in the same way, item by item, there being columns for the credit balances at the beginning of the account, for the different books of original entry, such as the Invoice Book, Cash Book, and Journal, and any debit balance entered on the credit side before closing off the account. Each account thus stretches across the analysis sheet, and occupies as many of the horizontal lines as there are items in the column containing the greatest number of items. The next account is entered on the first clear line on the analysis sheet Each page of the analysis sheet is thus independent, and in fact each account can be balanced by itself, but it is usually sufficient to balance each sheet. When the totals of the columns in the analysis sheets are completed they should be reconciled with the corresponding totals of the books of original entry, and where there is any difference it can be readily traced by checking the items from the analysis sheet into the book of original entry, if the folios have been entered on the analysis sheet On the two preceding pages is an analysis of the Ledger of William Wood given on pages 29 to 31, and the agree- ment of the totals of the columns with the books of original record is at once seen. The balances at the close of the year are those given on page 66. CHECK LEDGEES In checking the posting of a set of books where there are numerous entries, and which have not been kept so that each ledger may be balanced separately, it is possible with very little additional trouble to prepare Check Ledgers, which enable any errors to be at once localised. ° In checking the posting of a set of books when that is done in the order in which the items are posted, namely from the books of original record into the ledgers, it usuaUy falls to a junior clerk to call out the original entries, and a senior clerk checks them into the ledgers. While the senior clerk is searching for the folio upon which the entry IS to be found, the junior clerk writes up the Check Ledgers, which are represented upon sheets of paper ruled with money columns. The method can be best followed by an illustration, and on the next page is given the Cash Book Check Ledger Slips of the set of books of WiUiam Wood, of which the Cash Book is given on page 34. The Customers' Ledger is checked as follows : Balance due by customers at beginning of year . £800 lotal of Day Book . . . £3000 Deduct — Cash sales . . . . 20 2980 Deduct — Credits through Cash Book . £3780 2530 Balance due by customers at close of year . £1250 This is the balance shown by the Customers' Ledger as due by customers at the close of the year. No adjustment lor cash sales and cash purchases is necessary if these are treated aa belonging to the Customers' and Purchases Ledgers respectively. \ 114 ACCOUNTING IN THEORY AND PRACTICE THE CARD LEDGER "5 \\ \ «: Cash Book Check Ledger Figures Cash D«btor. Customen' Ledger. General Ledger. £760 40 495 5 1230 £150 50 20 £2530 £220 2530 £2750 Cash Creditor. FnrehaMS Ledger. General Ledger. £285 15 400 200 10 770 £40 35 100 15 100 600 £1680 £890 1680 Discount £45 25 £2570 20 65 95 Balances £2750 THE CARD OR LOOSE-LEAF SYSTEM OF KEEPING LEDGER ACCOUNTS The Card or Loose-Leaf system of keeping Ledger Accounts, which has found considerable favour in America, works very satisfactorily in some businesses. By this method, instead of the Ledger Accounts being in bound volumes, they are kept upon loose sheets or cards in a box or case. When it is proposed to open a new account, a card or loose sheet, ruled like a Ledger Account, is taken and headed with the name of the account. When a sheet is completely filled, the account is continued on another loose sheet, and Ledger Accounts which are finished and which will not be again required are at once removed. The ledger thus consists only of accounts which are in use, |l i and, in preparing a Trial Balance, the trouble of going over accounts which have no balance upon them is saved. The accounts may further be arranged in any order, either alphabeticaUy, according to the names of the accounts; or geographically, according to the towns, or according to the streets where the persons reside, or in any other way that may be found desirable. The advantages of the method are : — L The account of one person, or the account relating to the same kind of transaction may be extended as required to any extent by merely adding more sheets as found necessary. 2. Accounts when closed may be removed at once. 3. The accounts may be arranged in any order, and this order may be altered at any time. 4. The trouble of opening a new ledger is done away with. 5. An account or any number of accounts may be taken out and given to separate clerks to be copied without dis- turbmg the others. In connection with this system of keeping ledgers an efficient index to each ledger must be provided. If the sheets are arranged alphabetically, however, the index may be dispensed with. The sheets may be paged in the same way as the pages of an ordinary ledger. The Card System applied to a Shareholders' Ledger. The card system may be applied with advantage to the keeping of a Shareholders' Ledger or of a Debentureholders' Ledger. The work in connection with the transfer of shares once the transfers have been registered in the Transfer Register, consists mainly in the irksome routine ot debitmg the account of each transferor, and crediting the account of each transferee with the shares. The labour of this IS much reduced by the card system, and the work practically results into simply lifting one card with the shares noted upon it from its place beside the transferor's name to Its place beside the name of the transferee. In the apphcation of the method to a Shareholders' Ledger no chan«>e IS required in the other books of the system, such as the i} r. (I 1 1 ■ > i ,1 'I ii6 ACCOUNTING IN THEORY AND PRACTICE Allotment Book or Kegister of Transfers. The cards are kept in a cabinet specially prepared for their reception such as is used in libraries catalogued on the card system. The name of each shareholder is written at the top of a card, a specimen of which is shown, and the particulars of the shares are entered upon a shorter card, a specimen of which is also shown. Upon each name-card the name, designation, address, and the distinctive number of the shareholder is given. Upon each share-card are contained the particulars of each block of shares held, showing their distinctive numbers and their total amount. In the specimens given particulars have been filled in. The share-cards, upon which are contained particulars of the shares held by any individual shareholder, are placed in front of his name-card. The share-card contains a space for the date and number of each transfer. Both cards are perforated near their lower edge so that when the cards are arranged in their drawer a rod may be passed through to fix them in their places. The name-cards are arranged in alphabetical order. In posting a transfer from the Kegister of Transfers all that requires to be done is to take the share-card containing the particulars of the shares trans- ferred from in front of the transferor's name-card, place the date and number of the transfer upon it, and deposit it in front of the transferee's name-card. When blocks of shares are split, or a share-card is completely fiUed up, new share- cards are used, and the old ones are cancelled. To prepare a list of shareholders at any time all that requires to be done is to copy out the names and holdings from the cards. No index is required, as the names are arranged alphabetically. When circulars are being addressed to the shareholders any number of clerks may be employed, and the work com- pleted in as short a time as desired. The system is so simple that with ordinary care no error need ever be made, but should a mistake occur it can be readily traced by means of the references on the share-cards. The following are specimens of the cards referred to : — THE CARD LEDGER 117 Cards for Shareholders' Ledger No Name Designation. Address. Shares From 56421 To 56520 Amount 100 Date. Transfer No. Date. Transfer No. o Date. Transfer No. ii8 ACCOUNTING IN THEORY AND PRACTICE RESERVES AND RESERVE FUNDS no Nl H ! ■ , i f ' . ' : M It RESERVES AND RESERVE FUNDS A RESERVE IS AN AMOUNT SET ASIDE OUT OF PROFITS, OR OTHER CREDIT BALANCE NOT REPRESENTING A LIABILITY TO OUTSIDE CREDITORS, BY DEBITING THE PROFIT AND LOSS OR OTHER ACCOUNT AND CREDITING THE RESERVE OR RESERVE FUND ACCOUNT. A reserve is formed out of profit where it is thought for any reason to be undesirable to pay away the full amount of the profit shown in the Profit and Loss Account. The profits must have been such as might have been distributed in the form of dividends, but are retained with the view of the capital being strengthened and augmented. The reserve should therefore be formed by debiting the Profit Appropriation Account and crediting the sum to the Reserve Fund Account A reserve may be available for equalising dividends or for meeting extra- ordinary losses. When a reserve is provided for any distinct object or contingency it should be specially desig- nated so as to ear-mark the fund. As, for example. Reserve for Equalising Dividends, Reserve for Bad Debts, Reserve for Depreciation, Reserve for loss on Investments, etc. With reference to such reserves, it must be noted that a reserve for bad debts or for depreciation is not a reserve so far as bad debts have been incurred or deprecia- tion has actually taken place, but are only reserves so far as the amount reserved is in excess of current require- ments. Reserves for Bad Debts and Depreciation are better termed Allowances for Bad Debts and Depreciation when they refer to present requirements. Similarly with Reserve against loss on Investments. A reserve to be such must form part of the surplus of assets correctly valued over all liabilities to outside creditors, capital, aad unappropriated profits. In a new company, for example, there can be no Reserve Fund until all such assets as Preliminary Expenses have been wiped out. Again, there can be no Reserve Fund until any debit balance on the Profit and Loss Account is wiped out Sometimes when shares or debentures are issued at a premium the total premiums received, after deducting the expenses of the issue, are credited to a Reserve Fund, which is used generally to strengthen the financial position of the company. Various terms are applied to a reserve, such as Reserve Fund, Reserve Account, Surplus, Margin, and Rest. Investment Fund, When a Reserve Fund in place of being merely such as we have defined it has a corresponding amount of cash used to purchase securities which are held as available for the purposes of the reserve, the Reserve Fund is sometimes designated as an Investment Fund. It is perhaps, however, preferable to still call the fund the Reserve Fund, and to place the investment connected with it under the head '* Reserve Fund Investments " on the assets side of the Balance Sheet A reserve is as truly a reserve whether a corresponding sum is invested outside the business or remains in the business. In fact, the sum so invested may remain iutact, but the reserve may disappear through the depreciation of the assets of a concern or through direct losses. Secret Reserves, Certain large financial concerns, such as banks and insurance offices, have sometimes very large secret reserves. These are formed by writing down, for example, the figure at which the buildings stand in the accounts to a nominal sum, by maintaining investments at cost which have permanently appreciated in value, and by the omission altogether of assets from the Balance Sheet which might fairly be included. The practice is not to be commended, as it is quite as incorrect, although less harmful in its results, to understate a company's position as to overstate it Some companies thus practically defraud one race of shareholders for the benefit of their posterity. I I20 ACCOUNTING IN THEORY AND PRACTICE Redemption Fund. A REDEMPTION FUND IS SIMILAR TO A RESERVE FUND IN THAT IT IS SET ASIDE OUT OF PROFITS, USUALLY BY EQUAL YEARLY INSTALMENTS, SO THAT WHEN A FUNDED DEBT OR OTHER OBLIGATION MATURES THE REDEMPTION FUND WILL EQUAL THE AMOUNT OF THE OBLIGATION, AND THERE WILL BE AN ACCUMULATED SURPLUS OF ASSETS OUT OF WHICH TO REDEEM IT. Had the profits been divided there would have been no cash or other available assets out of which to meet the obligation. The creation of such a fund results in profits being withheld from division by way of dividend, and thus makes possible the redemption of the debt out of the resulting accumulation of assets. When the obligation is paid off, the Redemption Fund still remains, and must then either be treated as an ordinary Reserve Fund or carried back to the Profit and Loss Account. Debenture Reserve Fund, It is sometimes provided in the Articles of Association of a company that an annual sum is to be set aside out of profits to pay off its debentures at the end of a certain time. The result of such a provision is to form a Redemp- tion Fund, which may be called the " Debenture Reserve Fund," which at the date when the debentures mature should have at its credit a sum equal to the amount of the debentures. The directors should, of course, have watched to see that they had sufficient cash to meet the debentures, and when these are paid the Debenture Account would be debited with the amount, and the directors thus find themselves with a credit balance equal to the amount of the debentures paid off on the Debenture Reserve Account The balance of the Debenture Reserve Fund Account may, therefore, after the debentures have been paid off, either be re-transferred to the Profit and Loss Account, where it will be available for appropriation to other purposes, such as an ordinary Reserve Fund, r I SINKING FUNDS 121 SINKING FUNDS A SINKING FUND IS A FUND SET ASIDE OUT OF ASSETS AND ACCUMULATED AT INTEREST FOR THE PURPOSE OF MEETING A DEBT. Thus the fund set aside annually by a government, and invested, along with the interest on the annual instalments, with the view of redeeming at some future date the liabilities of the government to its stockholders, is a Sinking Fund properly so called. The main dis- tinction between a Sinking Fund and a Reserve Fund or Depreciation Fund is that a Sinking Fund is formed of specific assets set aside and ear-marked to be used in the payment of some liability, whereas a Reserve Fund is set aside out of profits to be used should occasion require to write down some asset, and is frequently represented by the ordinary trade assets. The Sinking Fund is a debit balance in the ledger and an asset. The Reserve Fund is a credit balance and a liability. A Sinking Fund is sometimes formed by companies to redeem such liabilities as debentures and mortgages. Contingent Fund. A CONTINGENT FUND, LIKE A SINKING FUND, IS SET ASIDE OUT OF CASH OR OTHER ASSETS, USUALLY OF THE NATURE OF OCCASIONAL OR EXTRAORDINARY RECEIPTS NOT RECEIVED FOR ANY PARTICULAR PURPOSE. The fund is USed for payments for which there are no other available funds. The expression " Contingent Fund " should never be used for a Reserve Fund, but the name should be kept strictly for such an asset as has been defined. The Contingent Fund is an asset, whereas the Reserve Fund appears among the liabilities. In a friendly society fines paid by the members in respect of non-attendance at meetings or non- acceptance of office are sometimes accumulated in such a fund apart from the regular accounts of the society alto- 122 ACCOUNTING IN THEORY AND PRACTICE I' i getlier, and the fund is useful when any contingency arises requiring the disbursement of money which cannot be paid out of any of the other funds. Debenture Bond Sinking Fund. An everyday instance of a Sinking Fund is found in the case of a debenture bond purchased at a premium, and redeemable at par at the end of a fixed number of years. Under such circumstances the interest received cannot all be treated as income ; part of it must be applied year by year to wipe off the premium so that immediately before maturity the Investment Account may stand debited with the par value only of the bond. The annual income is termed the nominal interest; the balance after provision has been made for writing off the premium is the true interest, or, as it is technically termed, the yield of the in- vestment Thus, suppose £104 is paid for a £100 deben- ture bond, redeemable at the end of 10 years, and bearing interest meanwhile at 5 per cent per annum. Here 5 per cent is the nominal interest, or the interest on the par value of the bond, but the interest on the actml capital invested, in other words, the yield of the investment, is only 4|- per cent, the difference representing capital repaid which should be re-invested. In the case of curatories and judicial fac- tories under the Court it is usually necessary to set aside each year a portion of the income from all bonds and stocks purchased at a premium and redeemable within a given number of years. Thus Colonial Government stocks when redeemable and purchased at a premium must be reduced from what they cost to their redeemable value by having so much written off the figure at which they are valued each year, so that when they are redeemed the cash re- ceived will be the same as the value put upon them in the accounts. The Ledger Account for such an investment as that given above would be as follows : — SINKING FUNDS 123 £100 FIVE PER CENT DEBENTURE BOND Eedeemable Ist January 1910 at par. — Yield of Investment, 4 J per cent, Dr, Cr, 1900. Jan. 1. Dec. 31. To Cash . . £104 „ Interest (4^ per cent on £104) . 4 13 7 1900. Dec. 31. 1901. Dec. 31. 1902. Dec. 31. By Cash (nominal interest re- ceived) . ,, Balance By Cash ,, Balance . By Cash ,, Balance . £5 103 13 7 £108 • To Balance . . £103 ,, Interest (4^ per cent on £103:138. 7d.) 4 £108 13 13 13 6 7 7 4 11 £108 13 7 1901. Jan. 1. Dae. 31. £5 103 6 11 £108 6 11 1902. Jan. 1. Dec. 31. To Balance . . £103 ,, Interest (4^ per cent on £103 : 6s. lid.) 4 £107 6 13 19 11 11 £5 102 19 11 £107 19 11 and so on each year. Here it will be seen that in the first year 6s. 5d. of the premium is wiped off; in the second year 6s. 8d. ; in the third year 7s., and if the account be continued to its close it will be found that the sum of all these " repayments of capital" is £4, and that the debit will be reduced to £100 by the time the bond will have reached maturity and be paid off at its par value. The student will ask how he is to ascertain that such an investment yields him 4 J per cent, or, conversely, such a debenture bond being offered him, how he is to ascertain the price that will yield him 4J per cent, or any other desired return, on his investment These questions form a chapter in the Theory of Annuities-Certain, which hardly falls within the scope of this work. The problem is, how- 124 ACCOUNTING IN THEORY AND PRACTICE ever, capable of a simple solution by means of interest and annuity tables. Thus, suppose I am offered a bond such as has been described, and I wish to ascertain what annual return the investment will yield. I have to pay £104, and for this I am to receive (1) an annuity of £5 for 10 years, and (2) repayment at par, namely £100, at the end of 10 years. Now the rate of interest I wish to ascertain is that rate at which the present values of the interest and the capital added together will amount to £104. I take my tables and first try, say, 4| per cent Present value at 4f per cent of an annuity of £5 for 10 years . Present value at 4f per cent of £lOOreceivableatendof lOyears £100 x -62872= 62872 £5 x7-816 = £39-080 £101-952 The value of the annuity (7-816 per unit) and the capital (-62872 per unit) have been taken too low, that is, at too liigh a rate of interest; in other words, the price asked, 104, would not enable me to realise 4 J per cent Try 4 J per cent Present value at 4J per cent of an annuity of £5 for 10 years . £5 x 8011 =£40055 Present value at 4J per cent of £100 receivable at end of 10 years £100 x -65954= 65954 £106-009 Here, on the other hand, the rate of interest tried is evidently too low. If I wanted to realise only 4 J per cent I could afford to pay £106. Try now an intermediate rate, say 4J per cent Present value at 4 J per cent of an annuity of £5 for 10 years . £6x7-913 = £39565 Present value at 4 J per cent of £100 receivable at end of lOyears £100 x -64393= 64-393 £103-958 SINKING FUNDS 125 I have thus, as near as possible, hit upon the correct rate, and have found that if I pay £104 (more accurately £103 : 19s. 2d.), for the bond in question, the return on my investment will be 4 J per cent. The converse problem of finding what price I should pay in order to realise a stipulated return on my outlay is, of course, solved in the same manner, but without the necessity of successive trials. I simply value the £5 per annum and the £100 payable 10 years hence at the stipulated rate of interest, and the sum of their values is the price I should pay. Thus if I want to realise ^\ per cent I shall pay £106009 ; if 4j per cent, £103-958 ; if 4| per cent, £101-952. The bond dealt with above bears interest at a nominal rate per annum. In practice, interest is usually payable half-yearly. But all that has been said applies if we substitute in the above example the words "20 periods" for "10 years," treat the bond as bearing 1\ per cent per 'p&riod for 20 periods, and select the annuity and present values accordingly. The resulting yield will be the yield per 'period. The bond may be purchased, not at a 'premium, but at a discount. But the same principles hold good. The true yield in such a case will be higher than the nominal rate of interest, and will be ascertained as above; the debit entries in the Loan Account will exceed the credits, and thus the loan will be gradually ivritten up to the par value of the bond. These brief explanations will, it is hoped, enable any one to calculate for himself the yield on a simple debenture bond. But those who deal frequently with such invest- ments have no need to be their own computers. Various Bets of tables, such as those of Nash, have been published, from which the information required can be obtained at a glance. In what has preceded it is assumed (1) that the pay- ments of nominal interest will be regular and uniform, and (2) that the first payment of interest falls due a full year (or period) after the date of purchase, in other words, that 126 ACCOUNTING IN THEORY AND PRACTICE the bond IS acquired immediately after a payment of interest has been made. This latter condition does not usually hold m practice. Bonds are bought and sold daUy, and the purchaser usuaUy acquires with them the next due interest coupons, no matter how soon they may be payable In such cases the actual price paid must be discounted for the fractional period elapsed before itis made the basis forcalculat- mg the yield. The discounting is usually effected by simply knocking off the amount of TuminaX irUerest already accrued Thus suppose I buy on Ist July, at £106j, a bond for £100, o per cent interest, the first interest coupon of which is payable on the 1st January following. £2 :10s of in- terest has thus accrued, and is presumably included in the price. Deducting it, we have £104, the price as at 1st January preceding, and this will form the basis for ascertain- ing the yield. The Ledger Account will of course be debited with £106 J actuaUy paid on 1st July. Then, on the 1st January foUowing, the first instalment of interest, £5 will fall to be credited. The corresponding debit, however, is only for half a year in respect of the price paid, and should be arrived at as follows. The yield will be 4 J per cent, as shown above, if the bond be a 1 y eai^ one. The duccmnted prue on which the yield was estimated is £104 A full year's interest on this at 4j per cent is £4 : 13s. 7d.'; deduct £2 :10s included in the actual price, debit the balance, £2 : 3s 7d., and the account will then be in the same position ^ If the purchase had been made a full year previously at £104, as shown in the example already given. In the case of a bond payable in a foreign currency the element of exchange may enter and complicate matters' ^ ^^J"" ^""^""P^^ *^^^ ^^ American railway bond tor, say, ^500, with coupons attached for $25 each ie 5 per cent. On the London Stock Exchange the value of the dollar IS usually taken at 4s. Thus, if the price were 1U4, a purchaser would have to pay £500 x 1*04 divided by 5, or £1 04. But in all probability he wHl receive more than 4s. per dollar, both on his interest coupons and on the bond at Its maturity; in fact, 4s. Id. per dollar may safely be anticipated as a minimum. At this rate £104 is SINKING FUNDS 127 equal to $509*4, being a premium of only 1*88 per cent on the $500 bond. Thus, by paying at the rate of 4s. per dollar, and receiving interest and capital at the rate of 4s. Id., the nominal premium is reduced by 212 per cent, and the yield will be increased accordingly. One other point may be referred to. It is not necessary to burden the Ledger Account with both debit and credit entries in respect of interest. From the example already given in detail of the £100 five per cent debenture bond, it will be seen that the capital is written down by 6 s. 5d. the first year ; 6s. 8d. the second year ; 7s. the third year, and so on. These instalments of Sinking Fund are all that need appear in the Ledger Account The whole interest as re- ceived would go to the credit of the Interest Account, and the instalments of Sinking Fund would be journalised as follows : — 1900. Dec. 31. 1901 Dec. 81. 1902. Dec. 31. Dr. Dr. Interest .... To £100 five per cent debenture bond Interest To £100 five per cent debenture bond Interest .... Dr To £100 five per cent debenture bond 4 £0 6 5 6 8 7 £0 6 5 6 8 7 and so on each year. This method has one advantage in the case of loans affected by a foreign exchange — any profit or loss arising from incidental variations of exchange is at once carried to the Interest Account, and is not suffered to affect the Loan Account. The first instalment of Sinking Fund having been ascertained, the succeeding instalments are easily calculated, for they form a geometrical series with the ratio 1+ — , where K is the yield per cent. Thus, in the above example 6s. 8d. = 6s. 5d. plus 4j per cent ; 7s. = 6s. 8d. plus 4i per cent, and so on. 1 28 A ceo UNTING IN THE OR Y AND PR A CTICE COLLIERY SINKING OR REDEMPTION FUNDS Provision is, as a rule, made in the Articles of Associa- tion of a colliery company for the time when the coal will become exhausted, or for the expiry of the lease, when the fixed plant and workings which have been put down and opened up at considerable cost will be of very little value. The precise value of the fixed plant and other capital outlay of a colliery at any particular time is a question more for a mining expert than for an accountant, and very often in such questions it is of great advantage for an accountant and a mining expert to have a conference, so that they may advise the colliery company what is the best course to pursue in the special circumstances of each case. The mining expert can tell how long the coal will last, and the accountant can tell what sum it will be necessary to set aside each year in order to replace the Capital of the company. It is very desirable to have some scientific basis upon which to calculate the Redemption Fund, so that when the colliery is completely worked out or the lease has expired the capital of the shareholders may be used for the purpose of leasing another coal-field, or may be returned to the share- holders. When the specific gravity of the coal is known, together with the average thickness of the various seams, and the total area included in the lease, the quantity of coal in the coal-field may be calculated with considerable accuracy. The total quantity of coal and the probable annual output being known, the date of exhaustion when the Sinking Fund will be required to replace the capital may be ascertained. There are various ways in which the Sinking Fund to provide for the capital to be repaid to the shareholders, or to be used in the leasing of another field, may be formed. Thus, the same sum may be set aside each year and invested outside the business of the colliery in some security so that these instalments, with the interest that has accumulated, will amount to the sum required. Again, sums of the same amount may be debited to the \ CO LURRY SINKING FUNDS 129 Profit and Loss Account and credited to a Reserve Account in the books of the colliery, and interest at the required rate may also be credited each year, but no separate invest- ment may be made. Again, an equal annual sum may be set aside each year of such an amount as without interest will amount to the sum required. The annual output of a colliery varies very much one year with another, and an equal annual sum is of course felt most in poor years. A preferable method is to make the payments to the Sinking Fund depend on the profits for the year, and this is done by setting aside a fixed rate per ton of coal raised or sold. This method works very satisfactorily on the whole, and by it each ton of coal bears its equal share of the expenses of pit sinking and making the colliery. Thus, if £50,000 is expended upon sinking shafts and general colliery formation expenses, and the total quantity of coal in the field is estimated at twenty-four millions of tons, a rate of Jd. per ton will provide the necessary Sinking Fund by the time the coal is worked up. This method, although it errs on the safe side, leaves out of account the question of interest, and assumes that the money will simply remain in the colliery. If the Sinking Fund is invested outside the business, or if the fund, although left in the business, is credited with interest each year, the amount per ton required to be set aside will only be about one-half. Assuming that in the above case the coal would be exhausted in fifty years, and that the annual output would be 480,000 tons per annum, the annual sum required to be set aside and invested at 3 per cent to provide £50,000 in fifty years is £443 : 5s. 6d. This sum, divided by the annual output, gives less than ^d. per ton as the amount required to be set aside in respect of each ton of coal raised. Of course it is evident that if more coal is raised each year so that the coal becomes exhausted in less than fifty years the Sinking Fund will not be sufficient ; on the other hand, if less coal is raised, and the colliery lasts beyond the fifty years, the Sinking Fund will be more than sufficient in consequence of the operation of interest. Almost all colliery Sinking Funds require to be carefully revised and adjusted every few years. The I I I 130 ACCOUNTING IN THEORY AND PRACTICE simplest method of all, and one which requires no adjusting, is to set aside the same sum each year. Thus, suppose a pit cost £19,000 to sink, and that the lease is for thirty years, at the end of which time the break-up value of the machinery will be £1000. It is evident that £18,000 must be written off during the thirty years. The simplest way to accomplish this is to charge £600 per annum. This method has the advantage of simplicity, and when the amount of depreciation is fixed there is no temptation to adjust it each year so as to enable a dividend to be paid. REALISATION AND LIQUIDATION ACCOUNTS A REALISATION AND UQUIDATION ACCOUNT IS AN ACCOUNT SHOWING THE RESULT OF THE LIQUIDATION OP A BUSINESS OR ESTATE. It is debited with the total assets as shown in the Balance Sheet or Statement of Affairs of the concern as at the date of the commencement of the liquidation, and is credited with the liabilities to outside creditors. It is there- after credited with the assets as realised and charged with the liabilities as they are liquidated, together with tlie expenses of realisation and the cost of liquidation. Realisation and Liquidation Accounts are sometimes prepared in the form of Accounts Charj][e and Discharae. The liquidator charges himself with the whole estate as at the date of liquidation. The Charge also contains in an inner column the estate actually realised. Any surplus on realisa- tion is added, and any deficiency or loss on realisation is deducted from the Charge. On the Discharge side of the account appear the payments made to creditors, the expenses of realisation, the cost of the liquidation, and any return of share capital made to the shareholders. JOINT ACCOUNTS 131 CONSIGNMENT ACCOUNTS A CONSIGNMENT ACCOUNT IS AN ACCOUNT KEPT BY A MERCHANT, CALLED THE CONSIGNEE, WHO RECEIVES GOODS CONSIGNED TO HIM FOR SALE, AND SHOWS ON THE DEBIT SIDE THE EXPENSES AND COMMISSION CHARGED IN CONNECTION WITH GOODS RECEIVED FROM ANOTHER MERCHANT, CALLED THE CONSIGNER, AND ON THE CREDIT SIDE THE AMOUNT REALISED FOR THE GOODS. The goods are sent at the risk of the consigner, and remain his property till sold. The corresponding account in the books of the consigner is headed merely " Consignment Account " or " Consignment Outwards Account." The state- ment which the consignee renders to the consigner when the transaction is completed is called an "Account Sales," and enables the consigner to write up his Ledger Account. The balance is remitted by the consignee either by cash or bill, or transferred to the current account of the consigner. JOINT ACCOUNTS A JOINT ACCOUNT, OR JOINT ADVENTURE ACCOUNT, AS IT liS SOMETIMES CALLED, RECORDS THE COMMERCIAL TRANS- ACTIONS OF A PARTICULAR KIND, USUALLY OF A TEMPORARY NATURE, ENTERED INTO JOINTLY BY SEVERAL PAIITIES WHO COMBINE TOGETHER FOR THE PURPOSE, AND CONTRIBUTE THE CAPITAL AND THE SERVICES, AS MAY BE ARRANGED, AND AGREE TO SHARE THE LOSSES OR PROFITS IN CERTAIN PROPORTIONS. One of the parties may act as manager, although they may all have a share in the management, and when the speculation or venture is completed the manager combines all the transactions in the Joint Account, ascertains the balance due to or by each of the parties, and settles with il^« 132 ACCOUNTING IN THEORY AND PRACTICE bis CO -venturers. The debit side of tbe Joint Account contains all tbe outlay, and tbe credit side all tbe receipts or income. f Eoaercises, 1. Brown imports goods on joint account on equal terms witb Smitb; the goods cost £1000, which was paid by Brown; tbe freight and insurance cost £65, which Smith paid. The goods realise £1170, which is received by Smith. Draw up an account, showing the profit on tbe venture and the amount payable by Smitb to Brown. 2. R Allan and T. Dick agreed to import into this country from Australia a quantity of timber. On 1st March they opened a banking account in their joint names, to tbe credit of which K. Allan paid £700 and T. Dick £500. They agreed to divide profits or losses in pro- portion to these amoimts. From this account £900 was remitted to Australia for cost of timber, £50 for agent's charges, and £200 was paid for freight and other charges. On 1st December they bad realised by various sales £1200, which had been paid to the Bank Account, and each partner had been paid thereout the amount he had advanced. They agreed to close the adventure, Allan taking over tbe unsold timber at the price of £200. Make out the accounts, and show how the transaction would be closed. KEVENUE ACCOUNT Tbe Profit and Loss Account is often called tbe Revenue Account, but it is perhaps better to keep tbe expression "Revenue Account" as the generic term embracing all accounts dealing with income, earnings, or profit, against which appear the cost, expenses, and losses connected therewith. In a concern not conducted for profit the revenue transactions are embraced in an account called the Revenue Account or the Income and Expenditure Account INCOME AND EXPENDITURE ACCOUNT 133 STATEMENT OF RECEIPTS AND PAYMENTS A Statement of Receipts and Payments is a summarised Cash Account, showing on the debit or receipts side, properly analysed under appropriate headings, the total money received during tbe period embraced by the account. The credit or payment side shows tbe cash disbursed during the period to which tbe account relates. These receipts and payments may be earnings and expenses relating to other periods than that covered by tbe account, the only requisite being that tbe cash was actually received or actually paid during the period embraced by the account. The state- ment shows the balance of cash on hand at the beginning of tbe period and tbe balance of cash on hand at the close of tbe period. INCOME AI^D EXPENDITURE ACCOUNT An Income and Expenditure Account, or Revenue Account, as it is sometimes called, should have on the credit side tbe whole income of the society or concern to which the account relates for the period embraced in the account. Part of this income may have been received and part may still be due, but whether received or due, so long as it is the income relating to the period, and it is considered that it will be received, it must be brought into the account. Similarly, tbe whole expenses properly chargeable during tbe period or against the income, whether these expenses Iiave been paid or are still due, must be included on the debit or expenditure side. Tbe income outstanding at the close of tbe account forms an asset and the expenditure still due a Hability of tbe concern, and should appear in the Balance Sheet of tbe concern at the close of the period. The Income and Expenditure Account is prepared from, and must reconcile witb, the cash received and paid during the period, together with the assets and liabilities of tbe concern at tbe beginning and end of the period. The balance of the Income and Expenditure Account is the surplus, or excess of income over expenditure, if tbe income side is'the i ! \ \ 'i\ \ 134 ACCOUNTING IN THEORY AND PRACTICE GOODWILL 135 !i greater, or the deficiency of the concern, or the excess of expenditure over the income, if the expenditure side is the greater. This surplus or deficiency will be that for the period embraced in the accounts, unless there is a balance carried over from the previous year. It is always advisable, however, to indicate the exact surplus or deficiency attribut- able to the period embraced in the account SUSPENSE ACCOUNTS A SUSPENSE ACCOUNT IS AN ACCOUNT OPENED FOR THE PURPOSE OF HAVING POSTED TO IT ITEMS WHICH THE BOOK-KEEPER IS UNABLE FOR THE TIME TO DETERMINE THE PROPER DESTINATION OF. This may arise through a dispute as to the intention of parties, and upon settlement the item is transferred to its proper account. Sometimes cash is received in the form of a bank order or post office order, and through the omission of the ender the cashier has no clue to the object of the payment. In such a case the Suspense Account is the correct place to post the receipt to pending inquiries. A Suspense Account should never be used for any other purpose. GOODWILL GOODW'ILL IS THE MONETARY VALUE PLACED UPON THE CONNECTION AND REPUTATION OF A MERCANTILE OR MANUFACTURING CONCERN, AND DISCOUNTS THE VALUE OF THE TURNOVER OF A BUSINESS IN CONSEQUENCE OF THE PROBABILITIES OF THE OLD CUSTOMERS CON- TINUING. It is the value of the connection and reputation which a business has acquired during its existence, and these warrant the expectation that the turnover will continue so long as the business is conducted by the same parties, under the same name, upon the same principles, or in the same premises. Lord Eldon's definition was : " The goodwill of a trade is nothing more than the probability that old customers will resort to the old place." Goodwill is seldom met with in the accounts of private concerns, but it is almost always to be found in the Balance Sheets of limited li bility companies which have been formed out of existing busi- nesses sold at a price in excess of the value of the tangible assets. How Valued, The value of the goodwill of a business depends upon : — 1. The place. 2. The name. 3. On the chance of no one stepping in connected with the old firm to compete. A purchaser of the goodwill of a business requires to consider and weigh all these points carefully. He should further consider how far the business is really personal to the seller, and so not transferable. The business of a contractor, for example, is largely personal, and cannot as a rule be transferred. The question of the value of the goodwill of a business may arise : — 1. Upon the dissolution of a firm, which may arise from : — (1) The death of a partner. (2) The voluntary retirement of one of the partners. (3) The bankruptcy of one of the partners. 2. Upon the sale of a concern : — (1) To a new proprietor. (2) On the conversion of the old concern into a limited liability company. (3) Upon a new partner being assumed. It is usual when a partner dies for his co-partners to take possession of the whole of the goodwill, including the deceased's share. They should pay heavier for it than if the deceased partner were still living and had volun- tarily retired, because he might have competed with them in business after receiving his share of the goodwill. V I 136 ACCOUNTING IN THEORY AND PRACTICE DEPRECIATION 137 III 1 The bankruptcy of one of the partners of a business has, as a rule, an adverse influence upon the goodwill, but may still leave the goodwill as an asset of considerable amount. All depends upon the special circumstances of the business. It is the custom to base the value of the goodwill of a business on a certain number of years' or months* purchase of the average net profits for, say, the three or five years immediately previous to the date of valuation. In the liquor trade the value of goodwill is sometimes based upon the quantity of liquor consumed in the year. The turnover of spirits can always be determined accurately from the Government Permit Book, and in such a business the ratio of profit to turnover should not vary much. Sometimes the interest on the capital employed and an aUowance for personal management is deducted from the profit before arriving at the net profit upon which a certain number of years' purchase is to be taken as the goodwill If a business requiring a capital of £3000, upon which the interest at 5 per cent would be £150, and yielding a profit of £1000 per annum, was worth (£1000 -£150) x 3, or £850x3,= £2550 ; another similar business yielding the same profit, and requiring only £2000 of capital, would be worth, it is evident, (£1000 - £100) x 3, or £900 x 3, = £2700. Simi- larly, a business requiring a man's undivided attention is not worth so much as another business yielding the same profit and employing the same capital, but requiring only half the attention of one man. For purposes of comparison, therefore, at aU events a value must be placed not only upon the capital to be employed, but upon the services requiring to be rendered. It is only upon the surplus profits after charging all the expenditure in earning the profit that goodwill should be calculated, and the reliability of each source of profit should be considered, the number of years' purchase of the profit from the department or source showing the steadiest ratio being greater than that of the more pre- cariousprofits from the other departments or sources of revenue. The amount given in practice for goodwill is as follows : — Wholesale or retail trading businesses, 1 to 4 years' pur- chase of the profits. Manufacturing concerns, 1 to 3 years' purchase of the profits. Professional concerns, 1 to 2 years' purchase of the profits. In the case of a compulsory purchase, say by a railway company or corporation, under powers of an Act of Parlia- ment, 10 to 25 per cent would require to be added to the sum arrived at on the above basis to come to a reasonable sum for such disturbance. It was formerly the practice to give the seller of a business a certain proportion of the profits made during succeeding years in respect of goodwill. From a buyer's point of view this was a very satisfactory method, as it made the amount payable depend upon results; but from the seller's point of view the method proved unsatisfactory, as the buyer did not exert himself so much as he would have done had all the profits belonged to himself. DEPRECIATION Depreciation is the diminution in the value of an asset, and may be due to various causes. Thus in the case of machinery, it may be due to wear and tear or to the machinery becoming obsolete. In the case of heritable property, it may be due to objectionable works being started in the locality, or to economic causes. The subject is a very wide one, because different classes of assets depreciate at different rates. When capital is spent in the purchase of machinery, plant, land, or buildings with the view of a profit being earned, provision must be made for the replace- ment of the capital before the return from the expenditure can be regarded 'c& income. Depreciation is thus a charge upon revenue. The object of writing off depreciation from the sums at which assets appear in one Balance Sheet is to make allowance for any diminished value, so that these assets may appear in each Balance Sheet at their true value. In determining the rate of depreciation the main facts to be kept in view in reference to any particular subject are : — 13^ ACCOUNTING IN THEORY AND PRACTICE DEPRECIA TION 139 r I I 1. The original cost. 2. The annual repairs required. 3. The probable life. 4. The market value. 5. The break-up or residual value. In allowing depreciation the rate may be calculated upon the onginal value or upon the diminished value from which the depreciation of previous years has already been written off Where the depreciation is on the original cost a much lighter rate is sufficient than where the depreciation is calculated on the diminished value. The more usual way is to calculate depreciation on the diminishing values The effect of so calculating depreciation is that in later years the aUowance for depreciation is lighter, but this is counter- balanced by the repairs being as a rule heavier in these years. Thus, if the life of a machine be taken as twelve yeaK, and it is considered that the residual value of the machme at the end of twelve years will be 10 per cent of the origmal cost, then depreciation at the rate of 7i per cent on the original cost will require to be written off each year. To arrive at the same result if the percentaae is written off the decreasing value each year, it will be necessary to write off depreciation at the rate of 17-46 per cent per annum from the decreasing value. To FIND THE RATE OF DEPRECIATION TO BE WRITTEN OFF THE DECREASING VALUE OF AN ASSET EACH YEAR SO THAT WHEN THE ASSET HAS TO BE REALISED THE VALUE OF THE ASSET AS APPEARING IN THE BOOKS MAY BE THE SAME AS THE RESIDUAL VALUE WHICH THE ASSET WILL REALISE. Let V represent the present value of the asset \ R the residual value after n years ; n the number of years at the end of which the asset will be required to be sold, when it wiU onlv be worth R ; ^ d the depreciation per unit per annum. It is evident if d is the depreciation per unit per annum that the value of the asset at the end of the first year will be V - V^ = V (1 - rf). This value of the asset at the end of the first year will depreciate during the !M second year at the same rate as the value of the asset dur- ing the first year. Hence the value of the asset at the end of the second year will be N {l-d){l-d) = N {l'-d)\ and so on at the end of each year. Hence at the end of n years the value of the asset will be V (1 - s. d. Depreciation each Year. Remainder at end of Year. d. 1000 I 167 9 832 11 693 2 10 577 1 8 480 9 139 8 2 116 1 2 96 12 8 80 9 - i 600 £ 8. d. 832 11 693 2 10 577 1 8 480 9 400 DEPRECIATION 141 The formula used above, V (1 - rf)** = E, may be used tx) find any one of the values involved when the other three are given. Thus, if it is required to find the number of years in which the value of a ship will be reduced one-half, if depreciation is written off the value of the ship at the rate d per unit on the annually decreasing value, we have to substitute in the equation V = 1 and R = J, and we get at once (1 —(£)* = J. Or, working the question out from first principles, we may take 1 as the original value of the ship. At the end of the first year, after vrriting off deprecia- tion, the value will be (1 — <^) ; at the end of the second year, since (l—d) will decrease at the same ratio as 1 did the first year, the value will be {l-d) {\ -d) = {l—d)^. And so on, so that at the end of the nth year the value will be (1— <£)**; but the value is also J, hence we have (1— <^* = J. To solve this equation take logarithms of both sides, and we have w log (1 — e?) = log 1 —log 2. Hence w= - log 2 log (1 - d)- If we take the value of the ship as £1000, and d •J. 6 745, as in the former example, we get r» SBC - log 2 log 2 log (1- -16745) -3010 -3010 log -83255 1-9204 = 3*78 years. - -0796 On referring to the schedule on the opposite page, it will be seen that at the end of four years the value of the asset is £480 : 9s., and as in the present case we wish to find when the value of the ship costing £1000 will be reduced to one-half, namely £500, we see that the formula giving 3**78 years is correct *' i I i 142 ACCOUNTING IN THEORY AND PRACTICE mSUEANCE INSURANCE IS A CONTRACT BY WHICH A PERSON, CALLED THE INSURER OR UNDERWRITER, IN CONSIDERATION OF A CERTAIN SUM OF MONEY, CALLED THE PREMIUM, BECOMES BOUND TO INDEMNIFY ANOTHER PERSON, CALLED THE INSURED OR ASSURED, TO A SPECIFIED EXTENT IN THE EVENT OP A CERTAIN CONTINGENCY OCCURRING DURING THE TIME THE CONTRACT IS IN FORCE. The contingency may be certain risks to which the insured or his property is exposed, or certain liabUities which he may incur. He may insure himself against the risk of accidents happening to him, his property against the risk of fire, and his business from loss through any of his employees meeting with an accident and claiming acrainst him under the Employers' LiabiHty Acts. A written statement or deed, on duly stamped paper, caUed a policy of insurance, is by statute requisite to the constitution of the contract. The policy specifies the name of the insured, the risk covered, the premium paid, the duration of the policy, and the general conditions upon which the insurance is effected. The policy is signed by the insurer. A policy of insurance being a contract of indemnity, the subject insured must be one in which the insured has an interest otherwise such poHcies might be used for waging or gaming. The words assurance, assurer, and assured are sometimes limited to life subjects, and the words insurance, insurer, and insured to other subjects, such as property. The different forms of insurance may be shortly grouped as follows — 1. Fire insurance. 2. Marine or maritime insurance. 3. Life assurance. 4. Accident and guarantee insurance. 5. There are many other minor forms of insurance, such as agamst loss of licences, death of animals from natural causes, etc. FIRE INSURANCE M3 FIKE INSURANCE FIRE INSURANCE IS A CONTRACT BY WHICH THE INSURER UNDERTAKES, IN CONSIDERATION OF THE PREMIUM, TO INDEMNIFY THE INSURED AGAINST LOSS THROUGH FIRE TO A SPECIFIED EXTENT TO THE PROPERTY WHICH IS THE SUBJECT-MATTER OF THE INSURANCE. The deed embodying the contract is called a fire insurance policy, and is for a specified time, usually a year, but is renewable on payment of a further premium. The contract being one of indemnity, the insured must have an interest in the subjects covered by the policy at the time of the damage. Immediately property insured changes hands the policy should be endorsed by the company to the new owner, otherwise it is of no use. Thus, when any one buys a house he should insure it or get an assignation to an existing policy immediately his offer is accepted, and he should not wait until he has paid the price. If a policy contains, as is usually the case, what is called an " average clause," the insurer is only liable to pay such a proportion of the loss as the sum insured bears to the whole value of the property, part of which only is insured. Thus, if a warehouse worth £1500 is insured for £1000, and £600 of damage is done to the warehouse by fire, the amount payable under a policy with an average clause would only be ^^f^ths, or frds, of £600, which is equal to £400, the idea being that the policy covers the whole property and each separate article of it to an average extent of two-thirds of its value, otherwise the insured would enjoy the benefit of an insurance extending over the whole of his property, £1500, although he paid a premium for only £1000 of it. This practice is perhaps not widely enough known, and many people imagine when they are under-insured that, as the whole property will not likely be lost, the whole damage will be recovered from the insurance company in the event of partial loss, but this is not the case. I, I 144 ACCOUNTING IN THEORY AND PRACTICE MARINE INSURANCE 145 Tlie rate ot premium is quoted at so much per cent, and varies according to the risk. The following are some of the premiums for first-class risks, that is, those where the buildings are of brick or stone, and slated or tiled, without stove or external hazard : — Private dwelling-houses • . . . . Household furniture therein .... Stables and contents ... . . Shops, non-hazardous, from . , , . Bakers' shops, with oven Do. without oven .... Boat builders ... Bootmakers ...... Grocers ..... Butchers Hotels ..... • • • • Confectioner, dressmaker, draper, milliner, hosier, furniture dealer, tobacconist, upholsterer . Is. 6d. 2s. 2s. 6d. 2s. 2s. 6d. 2s. 5s. to 21i 2s. 6d. 2s. 6d. 28. 28. 6d. 38. 6d. These are specimens of the rates of the best fire insurance companies in the country, which are associated together by an agreement under which they do not compete for business by under-cutting each other, but charge the same premium under the same conditions for the same risk. These companies are called tariff companies. No policy is issued for a less premium than 2s. A policy may be obtained for one day, as in the case of a bazaar. Policies for seven years may usually be effected for six years' premiums paid down. In annual policies fifteen days' grace is allowed for the payment of the renewal premium. The rent of a property may be insured, so that in the event of the total destruction of the property the revenue derivable from the property is paid by the insurance company during the period in which the property is un- tenantable or is being rebuilt. As a rule, where buildings are in blocks the rate of premium for each separate portion of the block is the highest rate chargeable for any particular portion of the block. Thus, the rate for dwelling-houses in the same block as shops is 2s. or upwards, in place of Is. 6d., the rate for houses in blocks where there are no shops. The stamp on a fire insurance policy is for Id., no matter what the amount. A fire insurance policy may be vitiated : — 1. If the fire is caused through the wilful act or with the connivance of the insured. 2. Through wilful misstatement or false description of the risk at the time of effecting the insurance, or if the claim for loss or damage is fraudulent. .3. Tlirough the erection of any stove or heating apparatus or other alteration in the building so as to materially alter the nature of the risk without the sanction of the insurance company. Loss of business profits through fire are not covered by an ordinary fire policy, but profits and standing charges, such as interest on borrowed capital, may be made the subject of a separate contract; nor are deeds, bonds, script, bills of exchange, money, or boolcs of account, except at their value as paper. A fire insurance company has usually the right under its policies to re-instate the property which may be damaged or destroyed instead of paying the amount of the loss in cash. The commission allowed to agents for the collection of fire premiums by the tariff companies is at the rate of 15 per cent on the premiums collected. MARINE INSURANCE MARINE INSURANCE IS A CONTRACT WHEREBY A PERSON HAVING AN INTEREST DEPENDING UPON THE SAFETY OF PROPERTY EXPOSED TO RISK AT SEA MAY BE INDEMNIFIED BY PAYING A SUM, CALLED A PREMIUM, TO THE INSURER OR UNDERWRITER. The subjects insured must be lawfully insurable. Thus an insurance of contraband articles is not enforcible. The contract of insurance being one of indemnity, the insured must have an insurable interest in the subjects insured at the time of the loss, because unless he is to sustain damage from the loss he does not require to be indemnified. AH ^ 146 ACCOUNTING IN THEORY AND PRACTICE LIFE ASSURANCE 147 the risks incident to a sea voyage may be insured against. These consist of : — 1. The goods or cargo carried, including their cost, the expenses of shipment, and the cost of their insur- ance. %. The ship itself, including the value of the ship at the outset of the voyage, the cost of the outfit stores, provisions for the crew, wages paid or due, and also the cost of insuring the ship. This insurance is spoken of as insurance on hull and outlay, or on the whole ship and blie expenditure connected with its outfit. 3 The freight, which is lost through the goods not being delivered, and the cost of insuring the freight. Tl»e insured is thus guaranteed against loss through freight not being received in consequence of the vessel being lost. Insurances are made either under time policies, that is, policies for a certain period, usually a year, or under voyage policies, that is, policies covering a specific voyage. Valued policies are those in which the property or goods insured are valued, and the values stated at the time of effecting the insurance. In open policies no values are stated, the sum in the policy is the limit of the insurer's liability, and when a loss occurs the values must be proved. The ordinary form of Lloyd's policy contains three chief stipulations : — First. The insurers take upon themselves certain specific risks through wliich loss may happen to the owners of the vessel or cargo during a certain term or duration of the insurance which is clearly set forth. Second. There is what is called the "sue and labour clause," under which the insured must exert every effort to save the property insured when in peril, and the insurers agree to contribute towards any expenses which may be incurred. Third. Petty claims are avoided by excluding, except in events specified, claims below a certain percentage of the total sums at risk, or from claims for damage to certain goods of a specially hazardous description. When the master of a ship cuts away masts or cables and throws goods overboard to lighten the ship (jettison) with the view of saving the remainder of the ship and cargo, the loss so occasioned is brought into a "general average," in which the ship, cargo, and freight bear a proportionate share of the sacrifice made for the common good, and this is borne by the underwriters in proportion to the insurances. " Particular average " loss is a loss for which no contribution can be levied, it must be borne alone by the owners of the goods sustaining the loss. Such loss is not a sacrifice for the general benefit, hence the freedom from liability of the other goods and gear. When the insurer has to pay for total loss, he is entitled to the goods abandoned and all the rights and claims of the insured connected with the abandonment. LIFE ASSUEANCE LIFE ASSURANCE IS A MUTUAL CONTRACT BY WHICH AN INSURANCE COMPANY UNDERTAKES TO PAY A CERTAIN SUM UPON THE DEATH OF THE ASSURED, OR UPON HIS ATTAINING A CERTAIN AGE, AND THE ASSURED BECOMES BOUND TO PAY CERTAIN SUMS IN NAME OF PREMIUM. The holders of a life assurance policy must have an interest in the life of the assured at the time of effecting the policy. A man, it has been held, has an unlimited interest in his own life, and may legally assure it for any amount. Life assurance, however, is not necessarily a contract of mdenmity, and the whole sum is payable on the death of the assured, or on the maturing of the policy otherwise. The contract, in fact, is one of mutual risk. In the case where a creditor assures the life of his debtor, or has a life policy assigned to him in security, the policy does become, however, an indemnity one. There is great variety in life assurance business, and in the nature of the risks assured. The great majority of the policies, however, are for the whole term of life, and are payable only on the death of the assured. Such an assurance can be effected either by a uniform annual 'il li 148 ACCOUNTING IN THEORY AND PRACTICE A !l H premium payable till death, by increasing or decreasing premiums, by a limited number of premiums, or by one single premium paid at the time of effecting the policy. Endowment assurances are assurances for securing the payment of a sum on attaining a specified age, or at death, if that occur before attaining such age. Policies for a limited number of years are frequently effected in connection with loan transactions, but such short-term assurances do not form satisfactory securities for loans, because in the event of the period covered by the policy being survived, if the borrower's life is then uninsurable in consequence of ill- health a new policy cannot be taken out. Joint life assurances are those effected on the lives of two or more persons, where a sum of money is to be payable as soon as one of them dies, or on the death of the survivor. Survivorship assurances are those which effect the assurance of a sum to be paid at the death of one life, should that event occur during the existence of another life. Written notice of the assignation of a life policy must be sent to the head office or one of the head offices of an insurance company before it is effectual. On receiving such notice, together with a fee of not more than Ss., the company is bound to make an acknowledgment of the assignation. To facilitate the office making such an acknowledgment, it is usual to send notices of assignation in duplicate, when the office returns one copy bearing a memorandum that the other has been received. The stamp duty on a life insurance policy amounts to Is. per cent, on the sum insured. ACCIDENT AND GUARANTEE INSURANCE ACCIDENT INSURANCE IS A CONTRACT SIMILAR TO THAT OF LIFE INSURANCE, UNDER WHICH THE INSURER CON- TRACTS TO PAY A CERTAIN SUM IN THE EVENT OF INJURY OR DEATH FROM ACCIDENT. It is to a limited extent a contract of indemnity. The existence of such a policy, and any payment received under BILLS OF EXCHANGE 149 it, does not prevent the assured from recovering damages in respect of his injury, or his representatives recovering damages in the event of his death, from those responsible for the accident. Guarantee insurance is a contract under which the insurer becomes bound to implement a financial obligation upon failure of the person primarily responsible for its fulfilment. The insurer is also called the guarantor or surety, and the insured is usually the creditor or the employer. BILLS OF EXCHANGE A BILL OF EXCHANGE IS AN UNCONDITIONAL ORDER IN WRITING, ADDRESSED BY ONE PERSON [CALLED THE DRAWER] TO ANOTHER [CALLED THE DRAWEE], SIGNED BY THE PERSON GIVING IT, REQUIRING THE PERSON TO WHOM IT IS ADDRESSED TO PAY ON DEMAND OR AT A FIXED OR DETERMINABLE FUTURE TIME A SUM CERTAIN IN MONEY TO OR TO THE ORDER OF A SPECIFIED PERSON, OR TO BEARER. — BILLS OF EXCHANGE ACT, 1882, SEC. IIL A bill is called an acceptance after the drawee has signed it in token of his agreeing to the request. The drawee is then called the acceptor. An inland bill is a bill which, on the face of it, purports to be drawn and payable within the British Islands. A foreign bill is a bill in connection with foreign trade, or one which does not come under the above definition. A bill may be drawn in the form of a promise to pay, when it is called a promissory note. Every bill and promissory note, except a bill payable on demand, must be written upon a piece of paper having an ad valorem stamp previously impressed upon it. It cannot be afterwards stamped, except in the case of it having been impressed with a stamp of sufficient amount but of i i f if ^ III 150 ACCOUNT/AG IN THEORY AND PRACTICE improper denomination. Bills or notes drawn or made out of the United Kingdom before being presented for payment or endorsement, or being negotiated in an}^ way, require to have affixed to them and cancelled an adliesive stamp of the proper amount. The ad vcUorcm duty chargeable is at the rate of Is. per cent. On a bill payable on demand the duty is Id., and may be denoted by an adhesive stamp. The following is an example of an ordinary inland bill : — Edinburgh, 29th May 19. Two months after date, pay to me or my order the sum of One hundred pounds Sterling for value received. (Signed) David Brown. To Messrs. Charles Dods & Company, Merchants, London. The following is the form of the above bill as a promissory note: — London, 2i)th May li) Two months after date, we promise to pay to you or your 01 dor the sum of One hundred pounds Sterling for value received. (Signed) Charles Dods S: Company. To Mr. David Brown, Edinburgh. Charles Dods & Co. accept the bill when it is in the first form by signing their name either across the face of the bill or underneath the signature of David Brown. David Brown may then endorse the bill and hand it over to a third party, who in his turn may pass the document on to another party ; the endorsation having the effect of assign- ing the debt. Bills of exchange are usually negotiated finally by bankers. BILLS OF EXCHANGE i5» Foreign bills of exchange are sometimes drawn in sets of two or three, each bill being sent by a different route, so that the risk of one bill of the set not turning up is very little. Only one of the set requires to be stamped. The following is an example of a foreign bill : — Paris, 29th May At one month after sight of this our first of exchange (second and thii d of same tenor and date being unpaid) pay to our order the sum of One hundred pounds Sterling for value leceived. (Signed) A. F. RoGET ET FiLS. To Messrs. Charles Dods & C( ., Merchants, London. Bills are regarded by a merchant as bills receivable or bills payable, according as the cash which they represent is l»ayable or receivable by him. If a debt of £100 is due to a merchant by one of his customers, he might have some difficulty in recovering the asset, because he would have to prove his debt. If the customer, however, accepts a bill payable to the merchant, the nature of the asset is changed, because what was formerly due on an open account is now due in the form of a bill receivable. When a merchant receives the cash for a bill the form of his asset is again changed from a debt due on a bill receivable to actual cash on hand. Similarly, if a merchant is due to one of his creditors £100, that creditor would require to properly constitute his claim before he could enforce payment, but once the merchant has accepted a bill for the amount it changes his liability from a liability on an open account to a liability under a bill payable. The peculiar privilege of bills is that payment of the amount may be enforced summarily, without the necessity of an action for constituting the claim. The Bills of Exchange Act of 1882 codifies the law in regard to bills of exchange, cheques, and promissory notes. ■ ^ 1 152 ACCOUNTING IN THEORY AND PRACTICE APPORTIONMEKT APPORTIONMENT IS THE DIVISION OF A SUM INTO PRO- PORTIONATE PARTS ACCORDING TO THE RIGHTS AND INTERKSTS OF DIFFERENT PARTIES, OR THE DIVISION OF A WHOLE INTO PARTS PROPORTIONED TO THE RIGHTS OF CLAIMANTS. Thus, if an annuity of £400 per annum is payable to A at the terms of Whitsunday and Martinmas, so long as he is alive, with the provision that A's heirs are to get a pro- portionate part for the period up to the date of his death should he die between terms, then in the event of A dying on the 26th of November his heirs will be entitled to receive the proportionate part for the fifteen days from 11th November, when he received his last payment, to the 26th November, when he died, that is, his heirs will be entitled to receive -g^^ths of £400. This sum, amounting to £16 :8s. 9d., might be payable on the 26th November, the date of A's death, if a provision to that effect were con- tained in the deed under which the annuity was payable, but in the absence of such a provision it would be payable at the next term following A's death, namely Whitsunday. It is important to observe that in making this allocation we have looked upon the annual sum and have taken the proportion upon that for the number of days during which A was entitled to receive the annuity. Had we considered merely the £200 which fell due at Whitsunday, and taken into account the number of days between 11th November and 15th May, namely 185 days, the sum we would have brought out as payable to A's heirs would have been xVs^^'^ of £200, which is equal to £16 :4s. 4d., so that by this method A's heirs would get 48. 5d. less than by the con-ect method. Although this latter method is sometimes adopted, it is not the correct one, because the £200 really represents a half-year's payment, and is therefore in respect of 182i-days. If we take xV'ji^^''' ^^ £200 we get £16 : 8s. 9d., as before. \ \ APPORTIONMENT »53 An apportionment may be (1) in respect of time, where, as in the above example, the claimants' interests are successive ; and (2) in respect of estate, as where a house and lands, let on lease at one entire rent, are left by the owner in his will to different parties, that is, the house to one party and the lands to another, in which case the entire rent would be apportioned according to the respective values of the house and of the lands. In the case of a furnished house, let at an entire rent, it would not be fair to apportion in the ratios of the value of the house and furniture, as the furniture is so much more perishable. A fairer proportion might be got by taking the ratio of 4 per cent on the value of the house to 10 per cent on the value of the furniture, the house by this method being considered as worth 25 years* purchase, and the furniture as worth 10 years' purchase. The use of Interest Tables in apportioning Sums for different periods. Where a number of sums have to be apportioned over different periods of time, it is very serviceable to have an easy method of making the apportionment. Interest tables, showing the interest on different sums for any number of days at 5 per cent, such as the well-known tables of the late Mr. James Laurie, published by Messrs. George Eoutledge & Sons, are very useful for this purpose. The rule to use is, shortly, as follows: — To find the pro- portionate SUM FOR A certain NUMBER OF DAYS, HAVING GIVEN THE SUM PER ANNUM, MULTIPLY THE SUM PER ANNUM BY 20 {i.e. reduce pounds to shillings), AND FIND FROM the TABLE THE INTEREST AT 5 PER CENT ON THIS NUMBER OF POUNDS FOR THE GIVEN PERIOD. Thus in the foregoing example the amount per annum is £400, which multiplied by 20 gives £8000, and the interest on £8000 for 15 days at 5 per cent is £16 : 8s. 9d., as already found. The reason why interest tables at 5 per cent may be used for such questions is seen if we consider that if S be the sum with which we enter or look up the tables of interest at 5 I Il 154 ACCOUNTING IN THEORY AND PRACTICE per cent for 15 days, the result given in the table is 365 15 1 1 /^^ = S ^ "^F? ^ it: If we enter the table with 100 ODD 20* S X 20, we get as our result S x 20 x ^?- x — , which is 365 20 1 fC equal to S x -— :, what we wish. 365 In apportioning any sum under £18 :5s. (365 shillings) over different numbers of days, the same tables may be used in a slightly different way. Since the interest on a sum for a certain number of days is equal to the interest on the number of days looked upon as pounds for the number of days there are pounds in the sum, we have only to look upon the number of days as the sum, and the Bum as the number of days. Thus, to allocate £13 over 40, 93, and 500 days, we have merely to find from the tables the interest on £40, £93, and £500, for 13x20 = 260 days at 5 per cent, and we get £1 : Ss. 6d., £3 : 6s. 3d., and £17 :16s. 2d. The Apportionment Act of 1870. At common law sums payable at regular periods of time are not apportionable, apart from some special provision in the deed under which the sum is payable. Thus, at common law if the liferenter of a property died the day before the term upon which his liferent was payable, his heirs or executors were formerly entitled to nothing more than if he had died the moment after receiving the previous term's payment. The objections to such a state of matters are easily seen. The person in receipt of an annuity, believing that he will receive a payment on the term day, may live fully up to his income, and may incur obligations in view of what lie expects to receive ; but if he dies the day before the term the annuity would not be payable, and unless he left other funds the obligations he had undertaken would never be implemented. The hardships created by regular payments such as rents and annuities not being apportionable, where no such provision was made in the f r APPOR TIONMENT 155 deed regulating the payment of the rent or annuity, resulted in the passing of an Act for the more effectually securing the payment of rents, in the eleventh year of the reign of George II. (the Distress for Rent Act, 1737), which did not apply to Scotland. A further and wider Act, known as the "Apportionment Act of 1834," which was held to apply to Scotland, was also passed, and in 1870 a most important and still wider Act was passed which extends the principle of apportionment to all cases where apportionment is possible, except to the case of annual sums made payable in policies of assurance. The main provisions of " The Apportionment Act, 1870," which was passed on 1st August 1870, and which is the most recent statute dealing with the matter, are as follows : — " II. Rents and periodical payments shall accrue from DAY TO DAY, AND BE APPORTIONABLE IN RESPECT OF TIME. — From and after the passing of this Act all rents, annuities, dividends, and other periodical payments in the nature of income (whether reserved or made payable under an instrument in writing or otherwise), shall, like interest on money lent, be con- sidered as accruing from day to day, and shall be apportionable in respect of time accordingly." "III. Apportioned part of rent, etc., shall be payable WHEN THE NEXT ENTIRE PORTION SHALL HAVE BECOME DUE. — The apportioned part of any such rent, annuity, dividend, or other payment shall be payable or recoverable in the case of a continuing rent, annuity, or other such payment, when the entire portion of which such apportioned part shall form part shall become due and payable, and not before ; and in the case of a rent, annuity, or other such payment determined by re-entry, death, or otherwise, when the next entire portion of the same would have been payable if the same had not been so determined, and not before." Section IV. of the Act contains provisions making the entire portion of the rent or other periodical payment payable to the heir, from whom the apportioned part is recoverable by the executors or other parties entitled to the same, less "all just allowances." "V. Interpretation of terms. — In the construction of this Act — "The word * rents* includes rent - service, rent -charge, and rent-seek, and aho tithes and all periodical }\ I t I 156 ACCOUNTING IN THEORY AND PRACTICE ]\*iyments or renderings in lien of or in the nature of rent or tithes." **The word 'annuities' includes salaries and pensions." "The word 'dividends' includes (besides dividends strictly so called) all payments made by the name of dividend, bonus, or otherwise out of the revenue of trading or other public companies, divisible between all or any of the members of such respective companies, whether such payments shall be usually made or declared at any fixed times or otherwise; and all such divisible revenue shall, for the purposes of this Act, be deemed to have accrued by equal daily increment during and within the period for or in respect of which the payment of tlie same revenue shall be declared or expressed to be made, but the said word * dividend ' does not include payments in the nature of a return or reimbursement of capital." " ^^I- Act not to apply to poucies of assurance. Nothing in this Act contained shall render apportionable any annual sums made payable in policies of assurance of any de- scription." "VII. Nor where stipulation made to the contrary. The provisions of this Act shall not extend to any case in which it is or shall be expressly stipulated that no apportionments shall take place." Questions of apportionment occur chiefly in connection with testamentary deeds where the liferent of an estate is left to one party, and the capital, or fee of the estate, to another. It is most important, therefore, in such cases to determine the exact amount of the capital of the estate which is liferented, and the various provisions of the Act, so far as not modified by the testamentary writings or trust deed, must be exactly given effect to. It is important to observe that, according to Section V. of the 1870 Act, all revenue from trading or other public companies must be deemed to have accrued by equal daily increments during the period in respect of which the pay- ment of the revenue " shall be declared or expressed to be made." The date of the actual payment of the revenue is of no moment, but the important factor is the period for which the revenue is " declared or expressed to be made." APPORTIONMENT 157 Some companies are very particular in stating on the counterfoils of their dividend warrants the period during which a dividend paid has been earned, but others give no indication whatever, and it is often difficult to determine the period even from the Balance Sheet and Annual Eeport. The result of giving effect to the provisions of the Act of 1870, where the estate to be liferented consists largely of shares, the dividends upon which are payable a considerable time after the period during which they have been " made," is that the liferenter may not receive any income for a yeai or more after the testator's deatL This loss, however, is made up to the liferenter or his heirs when the shares are sold or when he dies. Testators, to obviate this hardship, frequently provide for the payment of a slump sum at the first term occumng after death. Under the Act of 1870, therefore, rents, annuities, dividends, and other periodical payments of the nature of income, are to be considered, like interest on money, as accru- ing from day to day, and apportionable in respect of time accordingly, and the apportioned part is payable when the next entire portion is payable. The Act vests in a life- renter or proprietor and transmits to his executors the rent due for the period he survives of a broken term, the rent so vested being the proportion for the period he lived into the tern\ Commerdcd Apportionments. In balancing the books of a commercial or manufactur- ing concern at any particular date, there are usually certain charges, such as rent, taxes, fire insurance, interest, feu-duty, etc., which have only been partially paid during the period covered by the Profit and Loss Account, and which so far as accrued have to be allowed for and charged against the profit. These charges appear in the Balance Sheet as a liability under the general heading of " Charges accrued," or under specific headings, such as "Kent accrued to date." Similarly, if rents or taxes are paid in advance, an apportion- ment has to be made, and the amount reserved goes to increase the profit, and appears in the Balance Sheet as an asset under 4' I 158 ACCOUNTING IN THEORY AND PRACTICE the heading of " Charges paid and unexpired," or under specific headings, such as " Rent paid in advance." The purpose of a Profit and Loss Account being to show the profit for a specific period, the whole income for that period must be taken into account, whether it has been received or is still due, and any income so outstanding appears as an asset in the Balance Sheet. Care, however, should be taken that all accruing income from rents, interest, etc., which appears as an asset is a good asset and likely to be received, as under no other heading are assets so often overestimated in Balance Sheets. In balancing the accounts of a concern yearly or half- yearly, apportionments almost always have to be made if any degree of accuracy is desired, and where a concern changes hands, as in the case of the conversion of a business into a limited liability company, or on the assumption of a new partner, or where it is required to find the amount due to a retiring partner, or to the representatives of a deceased or bankrupt partner, apportionments require to be ver}* carefully made so as to be absuhitely fair to all parties. Most items that occur annually are easily apportioned and present no difficulty, but in the case of rents or dividends payable half-yearly, quarterly, or monthly, considerable care must be exercised to arrive at correct results. Thus, to take a practical example : Suppose the business books of a concern are balanced at 30 th June, what is the proportion of the rent which should be taken as a liability, supposing the last half-yearly payment of rent was duly paid on 15th May ? If the half-yearly rent is taken as £100, the follow- ing solutions may be given to the question : — 46 1. ^^ of £200 (the annual rent) 365 or 46 182J of £100 £25:48. Id. 2.^^ of £100 or £100 less ;^* of £100 1 oU ► = £25:118. Id. A PPOR TIONMENT 159 Since the 28 th of May is the removal term, and the rent paid on the 15 th May is for occupation up to the 28 th, the following additional solutions may be given of the question if the period of occupation be held to govern the apportionment, and not the date of payment of the rent : — ^. :^ of £200 365 or 33 of £100 = £18 :1s. 8d. 4. ^ of £100 or 1 'ii £100 les8~\ of £100 lo4 = £17 :18s. 8d. Of the four solutions the first and third are correct on the assumptions made, as they treat the payment as a yearly one. The second and fourth solutions are not correct, as they treat a payment for half a year, or 182|^ days, as a payment for 180 or 184 days. In arriving at the above solutions the days have been counted as from the 15th or 28th of May, these dates being thus adopted as the dates of entry. Suppose, however, that the business was begun on the 11th or 28th of November, then the result of countinor the days from the 15th or 28th of May is to charge the Profit and Loss Account with rent for half a year plus 46 or 33 days, that is, for 228 J days or 215j days, whereas the number of days between the 11th and 28 th November and the 30th June is 231 days and 214 days. In such a case, therefore, it would be more correct if the 11th and 28th November be taken as the dates to count from, and the following additional solutions may be given : — 5. ^ of £200 /«ss£100 = £26:lls. 6d. 000 914. 6. li^ of £200 less £100 = £17 : 5s. 2d. 000 1 (• i6o ACCOUNTING IN THEORY AND PRACTICE ij'rom the above it will be seen that the correct method to employ depends upon the special circumstances of each case. The principle, however, always remains the same — that the rent should be charged according to the amount accrued during the period embraced by the Profit and Loss Account. Itents. In Scotland the rents of houses and shops are, with few exceptions, payable at Whitsunday (15th May) and Martinmas (11th November), and the year runs as a rule from the Whitsunday term. Although the rents are payable on these dates, possession of the subjects is not given to the tenant as a rule until 28th May, and he is entitled to occupy them for a full year from that date. Similarly, a tenant who gets entry at Martinmas obtains possession on 28th November, and does not remove until 28th November in the following year. In view of the fact that the rents are due for the actual possession of the subjects, one would have assumed that the apportionment would fall to be made as from the date on which the possession com- menced, and in commercial apportionments the removal terms should as a rule be taken. Thus, in balancing the accounts of a hotel which closes its books on the 30th June, where the rent payable is £1200 per annum, the correct sum to appear as a liability in the Balance Sheet, and to be charged in the Profit and Loss Account as accrued to 30 th June would, on the assumption of a Whitsunday entry, and that the rent due at 15 th May has been paid, be the proportion of £1200 for the thirty- three days between 28 th May and 30 th June, because the last instalment of rent, namely £600, paid on 15th May was for possession up to 28th May, and to apportion from 15 th May would be to charge in the Profit and Loss Account the rent for the period from 15th May to 28th May twice. Similarly, if the proprietor of a house die on 20 th May, one would have supposed that his executor could have no right whatever to share in any apportion- ment of the rent payable by a tenant who did not get APPOR TIONMENT i6i possession of the house until eight days after the death, viz. 28th May. But that is not the interpretation which has been given to the Act by the Court. In the leading case of Campbell v. Campbell, 18th July 1849, 11 Dunlop, 1426, it was in effect settled that the apportionment should take place from 15th May, the term when the rents were legally payable, and not from the term when possession was actually obtained. The circumstances in the case of Campbell were as follows : — Campbell of Lochnell, heir of entail in possession of the estates, died on 18th May 1846, that is, three days after the legal term of Whitsunday. The farms upon the estate were grass farms. The entry was at Whitsunday, but the first half-year's rent was, under the lease, payable at Martinmas thereafter, and the second at Whitsunday following, and so on. The executor of the deceased Lochnell claimed at common law the rents legally due at Whitsunday, but conventionally payable at Martin- mas 1846, and under the Act a proportion of the second half-year's rents of crop 1846, payable at Whitsunday 1847, effeiring to the three days between the term and Lochnell's deatL The Court sustained that claim. The view taken was that the half-year's rents payable at Martinmas 1846 had wholly vested in the late Lochnell, being rents for the crop of a half-year during the whole of which the tenants derived their rights from him as proprietor, and which were legally payable at Whitsunday, when he was still in life. As to the rents payable at Whitsunday 1847, these were also rents legally due for a half-year, during part of which Lochnell had been proprietor. This case was decided with special reference to the Apportionment Act of 1834, and before the existing Act of 1870 was passed. But in the decisions that have been given under the Act of 1870, CampbeU's case has been recognised as a binding authority. Thus in 1892 Lord Low decided in a case where the late Mr. H. M. Horsbrugh was judicial factor, and where there waa a large amount of house property in Edinburgh i62 ACCOUNTING IN THEORY AND PRACTICE f \ belonffing to the estate, that the terms at which the rents were payable, namely 15 th May and 11th November, were the correct periods to count from. The Accountant of Court had wished to take the removal terms. An interesting case on the subject is Graham (Tennent's executor) v, Lawson, decided by Lord Low on 2nd November 1897, and reported in the Scottish Law Reporter, vol. XXXV. p. 72. In that case a liferentrix let a house for five years, with entry at Whitsunday, at a rent payable half-yearly at Whitsunday and Martinmas, the first half- year's rent being payable at Martinmas for the half-year preceding. She died on 14th June 1896, and her executor sued the tenant for the half-year's rent due at Martinmas 1896. He maintained that the whole of the half-year's rent vested in the liferentrix by her survivance of the term of Whitsunday 1896, but Lord Low held that the executor was only entitled to the portion of the rent effeiring to the period between Whitsunday and the date of death. His lordship's opinion is very clear and instructive, and should be read by all who wish to understand this abstruse subject In view of these decisions of the Court, an accountant should meantime apportion rents between the heir and executor as from the 15 th May or 11th November to the date of death. The rent of land is payable in respect of its productive quality, and hence each year's crop should have allocated to it its respective year's rent. The possession of land for agricultural purposes is thus from year to year, although the rent is as a rule payable in two equal portions half-yearly. To the majority of farms in Scotland entry is given at Martinmas, because at that term the crop of that summer has been reaped, and the land requires to be prepared for the next crop. The first half-year's rent naturally falls to be paid at the Whitsunday following, for possession up to that date, and the balance at Martinmas. These are called the legal terms of payment. In the case of a pastoral farm where the entry is at Whitsunday, the first payment of a half-year's rent is legally due at the date of entry APPORTIONMENT 163 and the second payment at Martinmas, the two together being for the crop of grass of that year. Where rent is not paid at the legal terms, we have fore or fore-hand rent when It IS accelerated, and ba^jk or back-hand rent when it is post- poned. These fore-hand and back-hand terms of payment are called the conventional or contractual terms of payment as distinguished from the legal terms. In questions of apportionment the rule is that the legal terms govern the apportionment except where the rent is fore-hand, so that to accelerate the terms of payment of rent may have an effect on the interests of heirs, but postponing it has none. When the owner of an estate dies, the rents effeiring to his executor are all arrears of rents payable but not paid at the date of death, and the apportioned parts of rents legally due accrued to the date of death. Fore-hand Rents. Fore-hand rents are those which by the terms of the lease are payable in advance of the terms at which such rents are legally due House-rent, for example, is legally payable half-yearly, each payment being for occupancy for the half- year preceding; if the lease stipulated for payment half- yearly in advance, that would be a fore-hand rent. Fore-hand rents are not apportionable ; what a landlord collects under his lease he retains, so that the executors of such a proprietor do not disburse a proportion to the heir in consequence of his death between terms, neither have they a claim on the iieir for a proportion of the subsequently-due rent. The distinction between grass-farm rents (which are Wall v payable in advance of occupancy) and rents which are con- tracted to be paid in advance of the legal terms should be noted; the latter are fore-hand rents, as already dealt with the former are not. Accordingly, while the fore-hand rents are not apportionable, the grass-farm rents are so, so that when the proprietor of a grass-farm dies between Whitsunday and Martinmas his executors not only retain the Whitsunday rent already collected, but also claim from the heir a pro- portion of the Martinmas rent equal to the period from Whitsunday to the date of death. I' I I 164 ACCOUNTING IN THEORY AND PRACTICE Heritors* Assessment, Heritors* assessment is chargeable against the heir if it was imposed by the heritors after the truster's death, even although it was levied for the purpose of defraying accounts incurred prior to the truster's death. Heritors' assessment being levied on the heritors does not fall upon the liferenter, but is chargeable to capital. Castcalties, Duplicands and casualties, whether payable under con- tracts entered into prior or subsequent to 1874 Conveyancing Act (see sec. 23), are revenue; the rule is uniform. Duplicands are not apportionable over the period of years during which they accrue (per Lord Ardwall in case of Macdougall's Factor, 27th Nov. 1908). See also Curie's Trs. (1903). S.L.T. 1908, xvi. 532. Bent Charges. Eent charges consist partly of capital and partly of revenue from the receiver's point of view, as each instal- ment consists of interest and capital repaid. From the point of view of the payer the total instalment should be apportioned, and the proportion charged against the life- renter for the period during which he liferented the estate*. Minister's Stipend, When minister's stipend is a "just allowance " under Section IV. of the Act of 1870, and forms a deduction from rents, it is apportionable. The stipend from teinds is pay- able on 11th November, or on 15th May and 11th November, for the year closing at 11th November if payable in money, but if in kind it is held as payable for the year closing on the 29th September, and should be apportioned accordingly. So far as the minister and his representatives are concerned, however, the Apportionment Act does not apply. The matter is regulated by the Statute 1672 c. 13. If the minister die after Whitsunday, his executors, whoever they are, take the first half of the stipend as executry, and his widow and nearest of kin, according to their rights, the other half of that year's stipend. This latter half is APPOR TI ON ME NT 165 technically called ann or annat. If the minister survive Michaelmas (29th September) the whole year's stipend is executry, and the next half forms the ann, and goes to the next of kin. Wages and Salaries to Servants and Wo7'kmen. In the case of a heritable estate the wages and salaries of servants and workmen are apportionable to the extent that the heir has received the benefit of their services since the death of the predecessor. Annuities, Annuities payable during the life of an annuitant, dud which terminate on his death, are apportionable under the Act; so that an annuity created by a will, unless other stipulation is made under the will, is apportionable for the period between the date of death and the first term's payment ; also, when the annuitant dies his executors are entitled to receive a proportion of the annuity in respect of the period from the last term's payment to the date of death. Thus in the case of an annuity of £5 payable on the last day of each month, left by a truster who died on the 5th August, the first instalment would be the apportionable part, namely £4 : 5 s. 6d., for the twenty -six days between the 5 th and 3l8t August, and would be payable on 31st August. Interest on Money lent. As interest on money lent accrues from day to day, it can very easily be divided between those claiming succes- sively. As pointed out under the heading of Commercial Apportionments, care must be taken where interest is payable at particular terms that in calculating the alloca- tions the original term of the investment of the money is taken as the date to count from, and in the case of a liferent interest, the apportionments at the beginning and at the end of the liferent should be so calculated as to give the liferenter the interest for the exact number of days to which he was entitled to it. i66 ACCOUNTING IN THEORY AND PRACTICE \ I 4 fill Dividends anil Interest upon Shares and Debentures in Public Companies. All dividends and interest upon shares and debentures in public companies should be apportioned according to the period for which the interest or dividend is " declared or expressed to be made," regardless of the actual date of payment Suppose a truster died on the 26th November who held shares upon which a dividend was paid on the 15 th May of the following year in respect of profit earned during the year ending 31st December of the year of death, then of that dividend fffths would fall to capital, and the balance, ^^ths, being the proportion for the period from 26th November to 31st December, would fall to income. Interim Dividends and Bonuses. Some companies pay an interim dividend ; that is, for the convenience of its shareholders the company, although balancing its books once a year, does not wait until the end of the year before declaring a dividend, but pays a sum to account, usually slightly under what the rate of the annual dividend is expected to be. After the close of the year, when the profit is ascertained, the balance of the dividend is paid. In all such cases where questions of apportion- ment arise it is necessary to consider the dividend for the whole year. Thus, suppose a company pays an interim dividend at the rate of 6 per cent per annum in July to account of the dividend for the year then current, and pays in January, after the profit for the year closed on 31st December has been ascertained, a dividend at the rate of 8 per cent for the half-year to 31st December, making altogether a dividend at the rate of 7 per cent for the whole year: then it is on the basis of a 7 per cent dividend for the whole year that any apportionment should be made. Thus if a truster died on 31st May, the correct apportionment of the dividends on the shares which fell to capital would be found by assuming that the dividend was i APPORTIONMENT 167 one at the rate of 7 per cent per annum, and allocating for the period from 1st January to 31st May. In actual practice this is worked out as foUows : On the receipt of the interim dividend at the rate of 6 per cent in July, the proportion effeiring to capital, being the amount for the period from 1st January to 31st May, would be ascertained and placed to the credit of capital. On the receipt of the dividend for the next half-year, which would be received in January, the proportion thereof which would be required to bring the dividend from 1st January to 31st May already allocated at 6 per cent up to 7 would then be placed to capital. Further, suppose a truster die on 26 th November, after having received the interim dividend at the rate of 6 per cent payable in July, the portion of the dividend paid in January following which would have to be placed to capital would be f f gths of the dividend at the rate of 7 per cent per annum, less the amount of the interim dividend actually received. The portion effeiring to revenue would be ^\ths, being for the period from 26th November to 31st December at the rate of 7 per cent per annum. Bonuses returned as Capital. Bonuses not paid as dividends in the ordinary way, but as capital refunded, should be treated as capital. Stocks and Shares bought and sold. If the provisions of the Apportionment Act of 1870 are given effect to at the beginning and end of a liferent, then the same methods of apportionment must be applied when the stock is bought or sold. Thus if stock is bought on behalf of a trust where the estate is liferented, then the purchase price must be considered as including in it the dividend accrued to which, had the stock been held from the beginning of the trust, the liferenter's executor would be entitled if the liferenter had died on the day of the purchase, and this proportion of the dividend or dividends as received must be treated as capital. Similarly, when I 168 ACCOUNTING IN THEORY AND PRACTICE stock is sold by such a trust the price received must be considered as including in it the dividend accrued to which the liferenter's executor would have been entitled if the liferenter had died on the day of the sale, and the pro- portion of the dividend or dividends so arrived at must be treated as income. There are certainly a number of decisions which are agaiust this view, but there can be no doubt that this is the only logical method to adopt. It is mathematically true, and always results in the liferenter getting the revenue for the exact number of days he has been alive and entitled to it. Any other method of apportionment results in absurdities and in hardships to either the liferenter or fiar. Suppose a beneficiary entitled to the liferent of a trust estate dies on 15th April 1899, and that on the previous day, namely 14th April 1899, £2300 had been expended by the trust in the purchase of 100 Clydesdale Bank shares, costing £23 per share; then, if the purchase price is to be apportioned, the amount falling to the liferenter's executor would be 5s. 6d., as follows : — Dividend of £50, being half of year's dividend at the rate of 10 per cent, payable in August 1899, for the half-year to 31st December 1898 Proportion of dividend at 10 per cent accrued from 31st December 1898 to 15th April 1899 (date of death of liferenter), 105 days £50 28 15 4 Deduct — Amount of purchase price effeiring to capital, being the above £50, and £28 : 98. lOd., pro- portion of dividend from 31st December 1898 to 14th April 1899, paid for out of capital in purchase price of £2300 £78 15 4 78 9 10 £0 5 6 This is exactly equivalent to one day's revenue of the stock, which is the precise amount which should be received APPORTIONMENT 169 by the liferenter's executor, seeing the liferenter only lived one day after the purchase of the stock. If it is held that the cost of the stock purchased is not apportionable, but that the Act applies at the termination of the liferent, the amount effeiring to the liferenter's executor would be £78 : 15s. 4d., as follows : — Dividend of £50, being half of year's dividend at the rate of 1 per cent, payable in August 1899, for the half-year to 31st December 1898 £50 Proportion of dividend at 10 per cent accrued from 31st December 1898 to 15th April 1899 (date of death of liferenter) . . 28 15 4 £78 15 4 The liferenter's executor would thus receive £78 : 15s. 4d. in place of 5s. 6d., the correct amount. This clearly shows the absurdity which results from applying the Apportion- ment Act of 1870 at the termination of a liferent and not also when stock is bought The same reasoning applies to the case of the sale of stock. Profit from Private Partturships. Profits from private partnerships, even where they are paid at regular periods, are not apportionable under the Act ; such apportionment is regulated by the Partnership Act, 1890, sec. 42. Apportionment of Bents under the Land Claiises Act, 1845. Under this Act, when part of land held under a lease is acquired for any purpose under the Act apportionment takes place. In terms of Section 119 of the Act, "the rent payable in respect of the lands comprised in such lease shall be apportioned between the lands so required and the residue of such lands, and such apportionment may be settled by agreement between the lessor and lessee of such land on the one part and the promoters of the under- taking on the other part; and if such apportionment be not so settled by agreement between the parties, such I70 ACCOUNTING IN THEORY AND PRACTICE apportionment shall be settled by two justices, and after Buch apportionment the lessee shall, as to all future accruing rent, be liable only as to so much of the rent as shall be so apportioned in respect of the lands not required for the purposes of the special Acts." Exceptions to Apportionmoa. The Apportionment Act of 1870 does not apply in the following cases :— Where specially excluded by the terms of the deed. The profits of a private partnership. Annual sums made payable in policies of assurance. Dividends or bonuses declared not as ordinary dividends but as capital payments. Fore-hand rents. Minister's stipend, so far as the receiver of the stipend it concerned. Burdens and other Deductions. Under Section IV. of the Act of 1870, " all just allow- ances " are deductible from the rents and other sums to be apportioned. In the case of trust estates it is often convenient to show the periods and the corresponding deductions in a separate statement at the end of the account, as follows : — State showing Apportionment of Burdens APPORTIONMENT 171 Nature of Borden. Date of Payment. Period for which Burden applicable. Number of days from beginning of period to date of death (26th November). A mount Chargeable against paid. Executor. Heir. Feu duty . Poor and School Rates County Rates Property tax, Sch. (A) . . . Nov. 30 Feb. 1 „ 10 » 12 Year to Mart. Year to Whit, do. Year to 5th April 15 195 195 235 £ 6 4 7 26 10 To d. £ 3 2 4 «. 7 4 2 10 d. 10 1 9 2 10 9 2 2|15 1117 1 2| 9 ^ i6["6' d. 2 11 3 10 2 10 4 Property not producing Revenue. Where property is left not producing revenue, but under instructions to have it realised, and the proceeds of the investment liferented, it is only fair where the realisation is delayed for some years, for the ultimate benefit of the estate, that the liferenter should receive an equivalent for acceding to the delay. If there are no funds out of which the liferenter can be paid, then at all events when the property is realised the liferenter is entitled to receive a share of the proceeds. The amount which the liferenter is entitled to on the realisation is the difference between the sum realised and its value when the liferenter became entitled to receive the revenue, discounted at the rate of interest represented by the annual income which might have been received had the property been realised at once. Thus, supposing a certain property has not yielded any revenue, in the meantime is liferented as from 1st January 1899, and is realised on 1st January 190-4 for £1000; then on 1st January 1904 the share falling to the liferenter of the £1000 would be £137: Vs. lOd. (that being the difference between £1000 and the value of that sum five years before, discounted at 3 per cent, £862 : 12s. 2d.) If 3 per cent is the rate of return on investments before deducting income tax, then the rate taken above should be 3 per cent, less the rate of income tax. Supposing part of the estate left to B, the widow of A, in liferent consisted of a fully-paid insurance policy of £1000 on the life of C. On C's death, ten years after B became a widow, the £1000 would be payable, and on receipt £744 : Is. lid. would go to capital, and £255 : 18s. Id. to the widow, as shown by the following statement : — Total amount received from insurance company £1000 DediLct — Value of £1000 ten years \go, discount at 3 percent ... . . 744 1 11 £255 18 1 Giving the widow the £255 : 18s. Id. is equivalent to giving her the interest at 3 per cent on the £744 : Is. lid. 173 ACCOUNTING IN THEORY AND PRACTICE ;l Iff t annually from the date when she entered upon the liferent of the estate. Care must be taken to distinguish such cases from those securities which should have produced income, but are bad and there is delay or loss in realising them. Thus, if the interest on a bond falls into arrear, and the security has to be realised : when it is realised the full interest duly compounded is due to the liferenter, if there is a sufficient amount realised to pay the interest so compounded, and the original amount of the bond ; but if there has been loss on the realisation of the security, then the rules of equity appear to warrant that the total sum realised should be divided between the fiar and the liferenter in the ratio of the original bond to the annual interest in arrear accumulated at compound interest. Examples of Apportionment. £500 capital stock of the National Bank of Scotland, Limited, was sold for £1595 by the trustees of J. Smith, who died on 15th August 1890, and the net proceeds were received on 1st July 1891. Two dividends at the rate of 15 per cent were received on 1st January and 1st July 1891 for the bank's financial year ending 1st November 1890, the amount of dividend on each occasion being £37 : 10s. To find what proportion of the dividends received and of the net proceeds of £1595 is applicable to revenue. The liferenter is entitled to the proportion of the dividend on £500 at 15 percent from 15th August 1890 to 1st November 1890. He also is entitled to tlie dividend at the rate of 15 per cent on £500 from 1st November 1890 to Ist July 1891, as the £500 stock would be earning that dividend during the period. These two amounts are as follows : — Proportion of dividend on £500 at 15 per cent from 15th August to 1st November 1890, 78 days (£75 x 78-^365) . . £16 7 Proportion of dividend on £500 at 15 j)er cent from Ist November 1890 to Ist July 1891 at 15 per cent, 242 days (£75 X 242 -f 365) . . . . 49 14 6 Total apphcable to revenue . £G5 15 1 APPORTIONMENT 173 £65 : 15s. Id. is the interest at 15 per cent on £500 from 15th August 1890 to 1st July 1891 (78 + 242 = 320 days), as it should be. A testator died on 30th June 1897, leaving £2000 of National Bank of Scotland stock to be liferented, and the fee given to the Royal Infirmary. The National Bank of Scotland close their books on the 1st November in each year, and the dividend made during the year is payable in January and July following in equal portions. The dividends received would be as follows : — On 12th July 1897, balance of dividend at 15 per cent for year ending Ist November 1896 . On nth January 1898, first half of dividend at 16 per cent for year ending 1st November 1897 . On 12th July 1898, second half of dividend at 16 per cent for year ending 1st November 1897 , £150 £160 160 320 The whole dividend of £150 received on 12th July 1897 would go to capital, being for the period while the testator was alive. The dividend received on 11th January 1898 being to account of the dividend for year to 1st November 1897, the liferenter is entitled to receive his share for the 124 days from 30th June to Ist November 1897, and similarly with the second portion of the dividend when received. The life- renter would therefore get : — On nth January 1898, Hi^hs of £160 On 12th July 1898, da do. £54 54 7 U 7 U £108 14 3 This is the interest on £2000 for 124 days at 16 per cent, as it should be. The following table shows the particulars necessary for apportionment of dividends of certain companies : — 174 ACCOUNTING IN THEORY AND PRACTICE It Table SHOWING Capital, Date of Closing Accounts, and Date when Dividends payable of Banks, Insurance Companies, and Railway Companies in Scotland. Name. Banks, Bank of Scotland . British Linen Bank Clydesdale Bank, Ltd. . Commercial Bank of Scotland, Ltd. National Bank of Scot- land, Ltd. North of Scotland and Town and County Bank, Ltd. Royal Bank of Scotland Union Bank of Scotland, Ltd. National Insur ••} I B ance Company J Standard Life Assor- ance Company Railways. Caledonian Railway Co. Edinburgh and Bathgate Railway Company Highland Railway Co. . 1 Midland Railway Co. . North British Railway , Company Share. Paid up. 150 Stock 50 100 500 20 Stock 50 Insubanoe Cos. Caledonian Insurance 25 Company City of Glasgow Life 25 Assurance Company Edinburgh Life Assur- 100 ance Company Life Association of Scot- 40 land National Guarantee and 20 Suretyship Associa- tion, Ltd. North British and Mer- 25 cantile Insurance Co. Northern Assurance I 100 Company, Ltd. I Si'ottish Union and 20 10 60 £ 100 100 10 20 100 4 100 10 5 2i 20 8f 2 6i 10 1 3| 12 Paid up CapitaL £ 1,325,000 1,250,000 1,000,000 1,000,000 1,000,000 652,000 2,000,000 1,000,000 107,500 60,000 100,000 87,500 50,000 687,500 300,000 2.39,145 60,855 120,000 Accounts close. 28th February 15th January 3l8t December 31st October Ist November 30th September 2nd Sat. October 2nd April Slst December 20th January Slst December 5th April 31st Mav Dividends payable. October previous and April following. September previous and March following. February and Augtist follow- ing in equal portions. July previous and January following. January and July following in equal portions. May previous and November following. June previous and December following. May and November follow- ing in equal portions. May and November follow- ing in equal portions. April and October following in equal portions. April and October following in equal portions. Interim dividend in May and balance in November. Interim dividend in December previous, balance in July. 31 8t December The particulars of capi- tal of these Com- panies are constantly chan^ng. The ac- counts are closed half-yearly, and the>« dividend then paid is in respect of the half- year, and should be apportioned accord- ingly. 31st Decembei May and Novem ber following in equal portions. Interim dividend in Dec., balance in June following. |3l8tDecember|'*^"?® ^"^ December follow- ) i j mg m equal portions. 15th November | May and Nov. following. Slst Jan. and Slst July Slst Jan. and Slst July l^8th Feb. and Slst Aug. SOth June and Slst Dec. Slst Jan. and Slst July April and Oct. respectively. February and August respec- tively. April and October respec- tivelv. Au^st and February respec- tively. April and October respec- tively. TRUST ACCOUNTS 175 TEITST AND EXECUTRY ACCOUNTS The preparation of Trust and Executry Accounts affords considerable scope for the ability of an accountant, as in connection with such accounts there are usually intricate questions relating to the interpretation of the deed con- stituting the trust, and to the apportionment of sums between capital and revenue. The usual form in which these accounts are prepared is that of an Account of Charge and Discharge, although sometimes the ordinary form of Ledger Accounts is used. For the sake of comparison a model set of trust transactions is given, and the accounts are shown as they might be submitted by the trustees : — I. In the form of an Account Charge and Discharge. II. In the form of Ledger Accounts. When Trust Accounts are kept in the Ledger form the fullest information may be at once obtained as to the position of the trust at any particular time, and from these Ledger Accounts the Account of Charge and Discharge may be prepared at the close of each period. The agent or factor in the trust usually keeps an account in his Ledger for the trust, and this Ledger Account practically forms the Account Current of the Trustees' Intromissions. In preparing the Account of Charge and Discharge the Account Current is sometimes submitted as an appendix, as it shows the transactions of the trustees in the order in which they took place, and from it may be ascertained the daily balance due to or by the factor. The will or trust settlement constituting the trust or executry should be carefully perused, and short notes upon it prepared. The object of preparing these notes is to obviate continual reference to the trust deed itself, and they should show at a glance the provisions of the trust. Upon the terms of the settlement will depend to a lar^e extent the form in which the accounts should be kept. Thus, if the estate has merely to be realised and, after all 176 ACCOUNTING IN THEORY AND PRACTICE the debts and expenses have been paid, the money is to be divided among certain beneficiaries, the accounts will be very simple. If, on the other hand, the estate is to be life- rented, capital and revenue will require to be very carefully distinguished, and the principles of the Apportionment Act, so far as not modified by the trust deed, will require to be given efifect to. In preparing the Account of Charge and Discharge, where capital and revenue have to be dis- tinguished, it is sometimes advisable to have an account for the capital and another for the revenua With only one account the revenue and capital transactions appear under leading headings, and then in the report which usually precedes the account, or in a separate abstract, the capital and revenue are carefully distinguished, and the respective balances shown. In ordinary Executry or Trust Accounts it is usually best to begin the first account with the inventory of the estate as at the date of death, and to have this as the first item of the charge against the trustees. By this means there is no chance of any of the estate being omitted. Modec JSe^ of Trust Transactions. The method of keeping Trust Accounts will be best seen from the following example : — William Slater, Merchant, died on 31st March 1899, leaving a trust disposition and settlement for the following purposes : — 1. Payment of debts and expenses. 2. Payment of a legacy of £1000 to his daughter Jane. 3. His heritable estate to go to his son John. 4. His moveable estate to be liferented by his widow. 5. On his widow's death the moveable estate to go to his daughter Jane. The following is a copy of the inventory of the estate as prepared shortly after the date of death : — TRUST ACCOUNTS 177 Inventory of Estate, I. Moveable estate : — 1. Cash in house 2. Household furniture .... 3. Value of 400 shares of £50 each, £10 paid, of the Clydesdale Bank, Limited, at JiZ^ . . . . . , 4. Life poUcy, No. 79,810, with the Lanca- shire Insurance Company 6. Deposit receipt with the Bank of Scot- land, dated 14th October 1898, for . . . £400 Interest to date 3 17 2 £50 400 9,050 3,000 6. Rents accrued to date as follows : — Smith Crescent — Proportion of £600 rental to date . • • . 403 17 2 226 6 £13,129 17 8 II. Heritable estate : — The heritable property consisted of four villas at Smith Crescent, the rental of which amounted to £600 ; feu- duty, £60. These villas were valued at £9000, which is arrived at to satisfy the requirements of the Inland Revenue, as follows : — The rental as given in the "Valuation Roll ras . • • • £600 Deduct — Feu-duty £60 Landlord's taxes . 45 Repairs at 7 J per cent on rental . 45 150 value , • Net annual £450 Taken at 20 years' purchase the estimated saleable value is £9000. Il 178 ACCOUNTING IN THEORY AND PRACTICE TRUST ACCOUNTS 179 The following may be taken as the account in the Factor and Law Agent's Ledger, showing his intromissions with the funds of the estate from Slst March 1899, when the testator died, to 10th June 1900, the date of the death of the lif erentrix : — The Trustees of the late William Slateb The Trustees of the late William Slater — C(mid, 1899. May 14. 1899. Apr. 1. 17. 18. 19. 20. May 13. By Cash found in deceased's re positories To Funeral expenses paid . „ Dr. Robertson, for attend ance on deceased on death bed .... By Amount in life policy, No 79,810, with the Lanca shire Insurance Company To Paid the following accounts — Servants' wages James Thomson, Stationer Thomas Paterson, sum in I.O.U. by deceased, dated 1st January 1898 James Davie, Wine Mer- chant . . . . David Bennet, Ironmonger John Boyd, Solicitor, busi- ness account William Monteith, Tailor and Clothier Alexander Elliot, Grocer , ,, Collector of Inland Revenue, for estate duty at 4 per cent on net value of estate, £12,300, £492 Interest to date (19 days at 8 per cent) . 16 4 ,, Legacy paid to Jane Slater, daughter of deceased By Proceeds of sale of 400 shares of £50 each, £10 paid, of tno Clydesdale Bank, Ltd., at 23, less expenses, £45 Carry forward . 16. Cash paid. £30 10 10 30 16 6 631 6 64 10 6 12 2 6 17 2 6 21 6 30 8 6 492 15 4 1,000 £2,244 16 4 Gash receivttd. £60 3,000 Nov. 11. 12. 1900. Alay 16. 9.155 £12,206 16. June 10. Brought forward . By Uplifted deposit receipt for £400, dated 14th October 1898, with interest to date .... ,, Received the following half- year's rents of villas at Smith Crescent : — David Watson William Riddell . Adam Munro James Jenkinson . To John Slater, son of deceased, proportion of rents due to nim as heir to heritable property for period from Slst March to 15th May 1899 . . £73 19 6 litis — Propor- tion of taxes, etc., paid by deceased for period to 15th May 1899 . 10 i> Cash, paid loan of £10,300 over Allan Street property at 4 per cent . By Interest for half-year to date on bond for £10,300 at 4 per cent over Allan Street property, less tax, £6 : 17s. 4d. . Liferentrix, paid her to account .... To By Interest for half-year to date on bond for £10,300 at 4 per cent over Allan Street property, less tax, £6 : 17s. 4d. . To Liferentrix, paid her to account .... ,, Commission to factor . ,, Business account and out- lays by law agent, as taxed ... ,, Miscellaneous expenses Balance in hands of factor i> Cash paid. £2,244 15 4 Cash received. 63 19 6 10,300 150 200 50 75 3 6 10 214 8 8 £12,205 406 1 8 76 100 75 50 \ 199 2 8 199 2 8 £13,308 7 £13,308 7 i8o ACCOUNTING IN THEORY AND PRACTICE Amoant in Inventory. £50 8,000 9,050 403 17 226 ACCOUNT OF CHAKGE and DISCHARGE of the INTROMIS- From 31st March 1899 (date of death of testator) Charge I. On account of Capital, 1. Estate as given up in inventory : — (1) Cash in house (2) Household furniture (3) Value of 400 shares of £50 each, of which £10 is paid, of the Clydesdale Bank, Ltd., at 22| . (4) Life policy, No. 79,810, with the Lancashire Insur- ance Company (5) Deposit receipt with the Bank of Scotland, dated 14thOctober 1898, for. Interest to date of death (6) Rents accrued 6 £12,729 17 8 £400 3 17 2 2. Rents of villas at Smith Crescent, proportion of yearly rental of £600 to date of death Heritable estate : — Four villas at Smith Crescent, valued for estate duty purposes at Note. — In terms of the trust disposition this pro- £9000 3. perty has been conveyed by the trustees to John Slater, Esq., son of the truster. Funds and estate realised: — 1899. Apr. 1. Cash found in deceased's repositories 18. Amount in life policy, No. 79,810, with the Lanca- shire Insurance Company May 13. Proceeds ofsale of 400 snares of Clydesdale Bank, Ltd. , at 23, less expenses, £45 . 14. Uplifted deposit receipt for £400, dated 14th October 1898, with interest to date 15. Proportion of half - year's rents of £300 to 3l8t March 1899 . Deduct applicable to Revenue — Proportion of dividend on Clydes- dale Bank shares, held from 3l8t March to 13th May 1899, in- eluded in sellingprice £47 2 c" Interest on deposit receipt for £400 from 31st March to 14th May 1899 . . 14 6 Deduct — Amount in inventory , Gain on realisation . £50 3,000 9,155 405 1 8 226 6 £12,836 2 2 £50 400 9,050 3,000 403 17 2 48 7 £12,787 15 2 12,729 17 8 Carry forward 226 6 £13,129 17 8 57 17 6 £13,187 15 2 TRUST ACCOUNTS 181 SIGNS OF THE TRUSTEES of the late WILLIAM SLATER, Esq. to 10th June 1900 (date of death of liferentrix). Discharge I. Payments affecting Capital, 1. Deathbed and funeral expenses: — 1899. Apr. 17. Paid funeral expenses „ Dr. Robertson, for attendance on deceased on deathbed 2. Debts due bt deceased paid:— 1899. Apr. 19. Paid servants' wages . James Thomson, Stationer . Thomas Paterson, sum in 1. 0. U. by deceased, dated Ist January 1898 James Davie, Wine Merchant David Bennet, Ironmonger . John Boyd, Solicitor, business account .... William Monteith, Tailor and Clothier .... Alexander Elliot, Grocer • > I* >i £30 15 6 531 5 54 10 12 2 6 6 17 2 6 21 30 8 6 6 8. Duty paid to the Crown: — 1899. Apr. 19. Paid collector of Inland Revenue estate duty at 4 per cent on net value of estate, £12,300 .... 4. Leoacy PAID: — 1899. Apr. 20. Paid legacy to Jane Slater, daughter of deceased . 6. Expenses of realisation and administration chargeable to Capital : — 1899. June 10. Commission to factor . Business account and outlays by law agents, as taxed Miscellaneous expenses Deduct — Projx)rtion of above charge- able to Revenue IL Irwestments made, 1899. May 15. Paid sum in loan by trustees over Allan Street property at 4 per cent, entered in Discharge, Branch IV. £50 75 10 3 6 £135 3 6 15 3 6 £10,300 Carry forward £30 10 10 £40 10 711 10 492 1,000 120 £2,364 £2,364 K m i82 ACCOUNTING IN THEORY AND PRACTICE Charge — continued. V On account of Capital — continued. Brought forward 4. Rents received and taxes kecovebed feom heir : — 1899. May 15. Received the following half • year's rents of villas at Smith Crescent : — David Watson . £75 William Riddle . 100 Adam Munro 75 James Jenkinson . 50 Deduct — Proportion of above applicable toCapital, carried to Branch I. (3) of Charge Paid to John Slater, son of deceased and heir to property, the above proportion falling to him as heir . . . £73 19 6 Less — Proportion of landlord s taxes paid by deceased for the period from 31st March to 15th May 1899 10 11. On account of Revenue, 1899. Nov. 11. Received half-year's interest on bond for £10,300 at 4 per cent, less tax, £6 : 17s. 4d. 1900. May 15. Received do. do. Add — Proportion of dividend on Clydesdale Bank shares, held from 31st March to 13th May 1899, effeirinflf to revenue as per Branch I. (3) of Charge . Interest on de- posit receipt fromSlstMarcli to 14th May 1899 per Branch I. (3) of Charge Sum of the Cuakue £300 226 6 £73 19 6 63 19 6 £199 2 8 199 2 8 £398 5 4 48 7 £13,187 15 a 10 £13,197 15 9 446 12 4 £13.644 7 9 TRUST ACCOUNTS 183 Discharge — continued. Brought forward III. Payments affecting Revenue, 1. Payments to liferentrix: — 1899. Nov. 12. Paid to account 1900. May 16. do. 2. Expenses of management and miscellaneous charges : — 1899. Apr. 19. Paid collector of Inland Revenue interest on estate duty, 19 days at 3 per cent . . . Proportion of expenses of administration charge- able against Revenue, per Branch I. (5) of Discharge IV. Estate as at lOth June 1900. Bond for £10,300 over Allan Street property at 4 per cent Household furniture ..... Cash balance in hands of factor . . £2,364 Sum of the Discharge Equal to that of Charge. 365 18 10 10,914 8 8 £13,644 7 6 Ill 184 ACCOUNTING IN THEORY AND PRACTICE ABSTRACT of ACCOUNT CHARGE AND DISCHARGE OF THE INTROMISSIONS of the TRUSTEES of the LATE WILLIAM SLATER, Esq. From 3l8t March 1899 (date of death of testator) to 10th June 1900 (date of death of liferentrix). Charge I. On account of Capital : — 1. Estate as given up in inven- tory 2. Heritable estate . • ^9000 Conveyed to John Slater, Esq. 3. Gain on realisation of funds and estate. i. Taxes recovered from heir .... II. On account 0/ Hevenue . • . . Sum of the Charqe £18,129 17 8 67 17 6 10 £13,197 15 2 446 12 4 £13,644 7 6 Discharge I. On account of Capital : — 1. Deathbed and funeral ex penses 2. Debts due by deceased 3. Duty paid 4. Legacy paid 5. Expenses . II. Investments made III. Payments affecting Revenue : — 1. Payments to liferentrix 2. Expenses .... IV. Estate as at lOth June 1900 . . £10,300 £350 15 18 10 I- Sum of thk Discharge Equal to that of Charge. £40 10 711 10 492 1,000 120 £2,364 365 18 10 10,914 8 8 £13,644 7 6 The position of affairs at 10th June 1900 was therefore as follows : — TRUST ACCOUNTS 185 I. As Regards Capital Receipts on account of Capital Payments on account of Capital Capital of the trust estate II. As Regards Revenue Receipts on account of Revenue Payments afTecting Revenue . Balance of Revenue due to representa- tives of liferentrix . . . . £446 12 4 365 18 10 £13,197 15 2 2,364 £10,833 15 2 80 13 6 Total estate at \(ith June 1900 £10,914 8 8 The liferentrix having died on 10th June 1900, the capital of the trust estate now belongs to the testator's daughter Jane, and accordingly, after settlement of any Government duties payable and the expenses of winding up the estate, the whole capital funds could be handed over to her. The balance of Revenue, amounting to £80 :13s. 6d., belongs to the representatives of the life- rentrix, and should be handed over to them, together with the interest on the bond of £10,300 from 15th May to 10th June 1900, which would be received on 11th November 1900, less any expenses chargeable against Revenue. In the event of the liferentrix leaving a will in favour of her daughter Jane, it would be unnecessary, of course, to make any apportionment, and the whole funds could be handed over to her at once. The trustees* intromissions, recorded in the form of Ledger Accounts, are now submitted, together with Balance Sheet as at 10th June 1900. The Cash Account is not shown, as that has already been given in the Account Current so far as the entries are concerned. To complete the following Ledger Accounts, a Cash Account, or a Cash Book with the money columns on opposite sides to those shown on page 178, would be necessary. I ir i86 ACCOUNTING IN THEORY AND PRACTICE WILLIAM SLATEK'S TEUST Ledger Accounts Capital Account. 1899. Mar. 31. To Debts due at de- cease, per account „ Deathbed and funeral ex- penses . »• Balance carried down . 1899. Apr. 19. To Cash, estate duty . • 1900. Jane 10. ,, Legacy to Jane Slater . ,, Expenses . „ Balance of capi- tal at this date £711 10 40 10 £752 12,377 17 8 £ 13,129 17 8 £492 1,000 120 10,833 15 2 £12,445 15 2 1899. Mar. 31. By Cash in house . Household fur- f) niture . „ Clydesdale Bank shares . „ Amount in life policy . „ Deposit receipt and interest . ,, Rents 1899. Apr. 1. By Balance brought down 1900. June 10.,, Bents and taxes recovered , , Clydesdale Bank shares, ^ain on realisation . 1900. June 10. By Balance . £50 400 9,050 3,000 403 17 2 226 6 £13,129 17 8 £12,377 17 8 10 57 17 6 £12,445 15 2 £10,833 15 2 Cask in House, 1899. Mar. 31. To Capital, for amount of cash found in deceased's re- positories £50 1S99. Apr. 1. By Cash Account £50 £50 Household Furniture, £50 1899. Mar. 31. To Capital 1900. Jane 10. To Balance £400 £400 1900. June 10. By Balance . £400 TRUST ACCOUNTS 187 May 13. ti 1899. Mar. 31. To Capital, for 400 snares £50 each, of which £10 is paid, at 22| Liferentrix, for Sroportion of ividend from 31st March to 13th May 1899 included in selling price . Capital, gain on realisation 1900. June 10. II Clydesdale Bank Shares, £9050 1899 May 13. By Proceeds of sale of 400 shares of £50 each, of which £10 is paid, at 23, less expenses, £45 47 2 6 57 17 6 £9155 I £9155 1 £9155 Life Policy. 1899. Mar. 81. To Capital, amount in policy No. 79,810 . £3000 1899. Apr. 18. By Cash, from Lan- cashire Insur- ance Company £3000 Deposit Receipt. 1899. Mar. 31. To Capital, amount in deposit receipt, dated 14th October 1898, with in- terest to date, £3 : 17s. 2d. . May 14. ,, Liferentrix, for interest on deposit re- ceipt from 3 1st March to date £403 17 2 14 6 £405 1 8 1899. May 14. By Cash, being amount in deposit re- ceipt uplifted, with interest to date . « £405 1 8 £405 1 8 1 88 ACCOUNTING IN THEORY AND PRACTICE Rents and Taxes recovered. 1899. Mar. 31. To Capital, propor- tion of yearly rental of £600 to date . May 15. ,, Cash, John Slater, propor- tion of half- year's rents due to him as heir for period from 31st March to 15th May 1899 . Capital . £226 6 •t 73 19 6 10 £310 1899. May 15. By Cash, for the following half- year's rents: — David Watson . William Riddell Adam Munro . James Jenkinson ** Cash, John Slater, for proportion of taxes paid by deceased to 15th May 1899 £75 100 75 50 £300 10 £310 Debts due by Deceased, 1899. Apr. 19. To Cash, for the following accounts : — Servants' wages £30 James Thomson, Stationer . 15 6 Thomas Pater- son, sum m 1.0. U. bv de- ceased, dated 1st Jan. 1898 James Davie, Wine Merchant David Bennet, Ironmonger . John Boyd, Solicitor William Mon- teith, Tailor and Clothier . Alexander Elliot, Grocer . 531 5 54 10 6 12 2 6 17 2 6 21 6 30 8 6 £711 10 1899. Mar. 31. By Capital, for the following accounts : — Servants' wages £30 James Thomson, Stationer . 15 6 Thomas Pater- eon, sum in I.O.U. by de- ceased, dated 1st Jan. 1898 531 5 James Davie, Wine Merchant 54 10 6 David Bennet, Ironmonger . 12 2 6 John Boyd, Solicitor . 17 2 6 William Mon- teith. Tailor and Clothier . 21 6 Alexander Elliot Grocer . . 80 8 6 £711 10 TRUST ACCOUNTS 189 Deathbed and Funeral Expenses. 1899. Apr. 17. To Cash, funeral ex- penses „ Cash, Dr. Robert- eon, for attend- ance on deceased on deathbed £30 10 10 £40 10 1899. Mar. 31. By Capital, funeral ex- penses . . £30 ,, Capital, Dr. Robert- son, for attend- ance on deceased on deathbed . 10 10 £40 10 Legacy, 1899. Apr. 20. To Cash, legacy to Jane Slater . £1000 1900. June 10. By Capital . £1000 B(ynd over Allan Street Property. 1899. May 15. To Cash, amount in loan by trus- tees over Allan Street property at 4 percent. £10 ,300 1900. === June. 10. To Balance . . £10,300 1900. June 10. By Balance . £10,300 Expenses of Bedlisaiion and Administration. 1900. June 10. To Commission to factor . Business account and outlays by law agent, as taxed Miscellaneous expenses . f> *« £50 75 3 6 10 £135 3 6 1900. June 10. By Capital, for share of total ex- penses . ,, Liferentrix, share of expenses £120 15 3 6 £135 3 6 I90 ACCOUNTING IN THEORY AND PRACTICE lAferentrix. 1899. Apr. 19. Nov. 11. 1900. May 16. June 10. To Cash, interest on estate duty . ,, Cash to account . do. Expenses of reali- sation and administration Balance due life- rentrix at this date • )> *t £0 15 4 160 200 16 8 6 80 13 6 £446 12 4 1899. May 13. By Clydesdale Bank snares, for pro- Sortion of divi- end from 31st March to 13th May 1899, in- cluded in sell- ing price 14. ,, Deposit Receipt Account, in- terest from 31st March to 14th May 1899 Nov, 11. ,, Cash, half-year's interest on bond over Al- lan Street pro- perty at 4 per cent, less tax, £6 : 17s. 4d. . £47 2 6 1900. May 16. i> do. do. 1900. June 10. By Balance WILLIAM SLATER'S TRUST Balance Sheet of the Trust as at 10th June 1900. Liabiliiies. A.tsets. Capital of the trust Due to lifeesntrix . . £10,833 15 2 80 13 6 £10,914 8 8 14 6 199 2 8 199 2 8 £446 12 4 £80 13 Bond over Allan Street PROPERTY at 4 PER CENT £10,300 Household furniture . 400 Cash in hands of factor. 214 8 8 £10,914 8 8 Exercises, 1. Prepare Executorship Accounts from the following particulars : — W. Smith died on 28th November 1899, leaving a trust disposition and settlement, which directed that after payment TRUST ACCOUNTS 191 of all his just and lawful debts, the following legacies should be made, appointing his executor residuary legatee. To his widow, that part of the heritable property consisting of his residence and the household effects therein, and the income from £5000 to be invested. To his son and daughter, £4000 each, and half share each of the above £5000 at the widow's death. The inventory made up for estate duty purposes was as follows : — L Moveable estate: — Cash in house • » • £50 Cash in Private Bank Account • 240 Household effects as valued • • 700 Business assets — Stock £6000 Book debts 4000 Cash in hand . 400 Balance at bank 2000 Fixtures, fittings. and trade utensils 1000 13,400 £14,390 II. Heritable estate: — The heritable estate consisted of — The residence of deceased, valued at Five houses, valued at (To be sold according to will.) £3000 3000 £6000 The cash transactions from 28th November 1899 (date of death of testator) to 30th June 1900 (date of closing of accounts) were as follows : — 192 ACCOUNTING IN THEORY AND PRACTICE 1899. Not. 30. By Cash found in deceased's re positories „ Cash uplifted from Private Bank Account .... Dec. 20. To Funeral expenses ,, Private debts of deceased : — James Anderson, Clothier George Boak, Grocer David Ramsay, Ironmonger John Lees, Merchant 1900. May 4. By Snm received for business assets taken over by Mr. John Elder To Business debts of deceased paid : — Messrs. Mitchell h Welsn Messrs. Munro & Eraser . Messrs. Robertson & Davie 15. ,, Legacies to son and daughter, £4000 each .... Dy Price of heritable property, con- sisting of five houses, sold per directions of will . ,, Rents of five houses for half-year to date, less taxes . To Amount invested for liferent of widow in bond over heritable f)roperty at 4 per cent . lector of Inland Revenue for estate duty at 4 per cent on net value of estate, £12,500 . . £500 Interest on £500 from 28th Nov. 1899 to 30th June 1900 (214 days at 8 per cent) . . 8 15 11 Cuhpaid. «. d. 30 50 10 15 5 Cash received. £ s. d. 50 240 „ Law expenses .... „ Balance remaining in hands of executor after payment of all debts and legacies . 13,500 1,000 100 500 8,000 5,000 508 15 11 71 4 1 1,700 16,990 3,000 200 16,990 2. John Eoberts dies on 10 th January, bequeathing his entire property, after payment of all debts and funeral expenses, to the following beneficiaries, viz. one -fifth to John Koberts, jr., one-fifth to George Koberts, one-fifth to William Koberts, three-tenths to Mary Eoberts, and one- tenth to Frank Smith. TRUST ACCOUNTS 193 The inventory lodged by his executors was as follows : — Stocks and shares . . . £4000 ]\Iortgages .... 6000 Furniture and wearing apparel . 100 Cash in bank .... 40 There are two executors, and their transactions are as follows : — Cash reckipts: — Stocks and shares sold .... £3,341 Mortgages realised .... 4,656 Furniture and wearing apparel sold . 50 Dividends collected on stocks and shares . 1,800 Interest collected on mortgages . . 2,400 Interest received on deposits in bank 100 Heritable estate sold .... 1,000 Rents collected . . . . . 720 Cash in bank at decease, uplifted . 40 Cash disbursements :— Funeral expenses . Expenses of obtaining confirmation General legal expenses . Repairs to heritable property . Stationery, postage, etc. Accountant's fee . Debts of deceased . , X axes ... 1 Insurance .... John Roberts, Jr., to account of legacy George Roberts, to account of legacy William Roberts, to account of legacy Mary Roberts, to account of legacy Frank Smith, to account of legacy The inventory at the date on which they wish to account is as follows : — Stocks and shares . . . £1000 Mortgages . . . 1280 Cash in bank .... 877 Make up' summary statement of the Executors* Accounts showing the balance due each legatee. £14,107 £30 200 400 220 10 80 500 800 10 ;acy . 2,200 y . 2,500 icy . 2,220 3,100 960 £13,230 I 194 ACCOUNTING IN THEORY AND PRACTICE PAETNERSHIP PARTNERSHIP IS THE RELATION WHICH SUBSISTS BETWEEN PERSONS CARRYING ON A BUSINESS IN COMMON WITH A VIEW OF PROFIT. — PARTNERSHIP ACT, 1890, SEC. 1. By the Companies Act, 1862, no partnership consisting of more than twenty persons may be formed for the purpose of carrying on any business without being registered as a company under that Act, unless it is incorporated under some other Act. In the case of a banking company the partnership may not consist of more than ten persons without being so registered. A partnership limited to a particular adventure or speculation is distinguished as a joint adventure. A partnership may be formed without any deed, but it is better to have it constituted by a formal contract of co- partnery, setting forth the agreement of the parties as to the business to be conducted, the duration of the partner- ship, the contribution of the capital, the division of the profits and losses, the general management, and the dissolu- tion of the partnership. Under the Partnership Act of 1890 the advance of money in the form of a loan to a person engaged in business under a contract in writing with such person that the lender is to receive a rate of interest varying with the profits, or is to receive a share of the profits arising from carrying on the business, does not of itself constitute the lender a partner, but in the event of the bankruptcy of the trader the lender of the money is not entitled to recover the money lent or the interest or profits due to him until the claims of the other onerous creditors have been satisfied. A deed of co-partnery, after stating the name of the firm and the business which it is proposed to conduct, should give the date of the commencement and the duration of the partnership. The capital which is to be originally PARTNERSHIP 195 contributed by each partner or to be afterwards put into the business should also be sfeated. Sometimes it is desirable that either partner in respect of devoting his whole time to the business should receive a salary before the divisible profits are ascertained, so that in the event of there being no profits such partner still draws his salary. Interest on the capital employed should also be charged before arriving at the divisible profits. Even when the capital of a partnership at starting is the same, during the progress of the partnership, in consequence of circumstances arising, the proportions of the partners' capital change, and to make a fair allowance for this it is very desirable that there should be a stipulation in the deed of co-partnery that interest is to be allowed at the rate of say 4 or 5 per cent upon all sums at the credit of the partners, and charged on all sums at their debit. The effect of this is that the partners receive interest in respect of the money they have in the business. The proportion in which the profits and losses of the business are to be allocated should be strictly defined. To prevent a partner drawing out too much capital, and thereby endangering the stability of the business, some limitation is usually placed upon the rights of partners to withdraw capital. Provision should be made in all contracts of co-partnery for a periodical Balance Sheet of the firm being prepared and docquetted by the partners as approved of within a specified time. Provision should be made for the dissolution of the firm, and for any disputes which may arise in the course of the co-partnery or at its termination being referred to arbiters, who should be named in the deed. If the arbiter is not named in the deed the Court may make the appointment on the application of any partner (Arbitration (Scotland) Act, 1894, sees. 2 and 3). Goodwill in Partnership. Sometimes when a new partner is assumed in an established firm it is agreed that he shall, in respect of being taken into the business, pay a certain sum in respect of goodwill. This sum may be treated in various ways. The cash he pays may be paid direct to the original owner or owners of the business, or the sum may be paid in cash 196 ACCOUNTING IN THEORY AND PRACTICE into the business, and credited to the Capital Account of the orii^inal owner or owners. By this treatment the partners of the original firm get the full benefit of the payment made in respect of goodwill. On the other hand, the new partner may pay the sum into the business, and such sum may be placed to the credit of the Groodwill Account, thereby writing down the amount at which goodwill then stands on the firm's books. In this case the original partners merely benefit in the proportion in which they are in future to share the profits, and the incoming partner benefits to the extent that he is to share the profits, as the amount will eventually be divided up in some form or other. Thus, if £600 is paid by B for the goodwill of a business, and that sum is handed in cash to A, or on being paid into the business is placed to A's credit in the partner- ship accounts, then A benefits to the extent of £600 ; but if the sum is placed to the credit of Goodwill Account, and A is entitled to two-thirds of the profits, then he only benefits to the extent of £400, so that it would be quite the same thing if B gave A £400 in cash, except, of course, that the business would not have the benefit of the additional capital. When a partner is taken into a business it is of the greatest importance that a correct Balance Sheet is prepared as the basis on which he is assumed. Sometimes a Balance Sheet as at the date of the commencement of the partner- ship is appended to the deed of co-partnery. Sometimes also the old partners guarantee the assets, and in the event of them not realising their book value the loss is borne by the original partuei-s. Not only at the beginning, but also at the end of a partnership, it is important that the basis should be a correct Balance Sheet of the concern. When there is a provision that after a certain date the division of profits is to be altered, one partner receiving a lart^er ratio and the other a correspondingly smaller ratio, it is essential that great care should be taken to see that the Balance Sheet of the firm as at the date when the alteration takes place is an exact one. Thus in a partner- INTEREST ON PARTNERS' CAPITAL 197 ship where the junior partner is entitled to receive one- third of the profits for the first three years, but is after- wards entitled to receive one-half, at the end of the third year if any of the assets of the firm are omitted and are in- cluded in the fourth year's account, the result would be that the junior partner would receive one-half of these omitted assets, whereas he is only entitled to receive one -third. On the other hand, if any liability were omitted the junior partner would suffer, because he would be charged with one-half of such omitted liability, whereas his proper pro- portion is only one-third. Under the Limited Partnerships Act, 1907, a firm may consist of one or more general partners liable for the whole of the firm's debts and one or more limited partners whose liability is limited to the sums which they are registered as lial)le to contribute. INTEKEST ON THE CAPITAL ACCOUNTS OF PARTNERS Where partners contribute the capital and take their drawings exactly in the same proportion as they share the profits, there is no necessity for making any provision for calculating interest upon their Capital Accounts. But such a state of matters very seldom exists, and as a rule it is most desirable that with the view of taking into account the capital of each partner which contributes to the profits of the business, interest should be allowed upon each partner's capital and charged upon his drawings. Each partner thus obtains, irrespective of his share of the profits and prior to the divisible profits being ascertained, interest upon the money he has invested in the business, as if it were invested in a savings bank. The rate of interest usually taken is 5 per cent, and in most contracts of co-partnery it is most desirable that there should be a stipulation that interest at this rate is to be allowed upon all the capital invested in the business, and charged upon the capital withdrawn. Where the interest actually earned upon the capital of the business is at the rate of 5 per cent, the result of this arrangement is abso- lutely fair under all circumstances, but it is interesting to investigate the effect of charging interest where the rate 198 A ceo UNTING IN THEOR Y AND PR A CTICE^ 1 I III actually earned is higher or lower. The following is given as an illustration. Assume that in a business £700 of profit is earned, and that interest is charged and allowed at the rate of 5 per cent on the partners' capital, and that the capital at the beginning of the year was as follows : — W. Clay T. Watt . £1000 6C0, and that these amounts are not altered during the year. The provision in regard to profit is that W. Clay gets two- thirds and T. Watt one-third. The Profit and Loss Appro- priation Account and the Capital Accounts would be as follows : — Frojii and Loss Appropriation Account. D«c 31. To Partners, for iuteiest on their capital : — W. Clay . . . '^50 T. Watt ... 30 £80 Dec. 31. By Profit for year . . £700 „ Partners, for share of profit : — W. Clay £413 6 8 T. Watt 206 13 4 620 £700 JF. Clay, Capital Account. £700 Dtc 81. To Balance . £1463 6 8 Jan. 1. By Balance • ^ • . • "^l^OO Dec. 31. „ Profit and Loss (in- ,^ ^ ^ tercst) . . 60 „ Profit and Loss 413 6 8 £1463 6 8 T. Watt, Capital Account. Dec. 31. To Balance :il £836 13 4 I Jan. 1. By Balance . ^ • ^. • Dec. 31. „ Profit and Loss (in- terest) „ Profit and Loss £836 13 4 £1463 6 8 £600 30 206 13 4 £836 13 4 INTEREST ON PARTNERS' CAPITAL 199 If any additional money invested in the business would have resulted in an additional gain equivalent to 5 per cent on the amount so invested, it is evident that the partner who provided this sum would get the whole additional profit, and this is as it should be. Suppose, however, that any additional capital paid into the business would have resulted in an additional profit equivalent to 10 per cent on the capital so put in. If W. Clay pay £1000 additional into the business at 1st January, the additional profit would be £100, and the Profit and Loss Appropriation Account and partners' Capital Accounts would be as follows : — Projit and Loss Appropriation Accmnt. Dec. 31. To Partners, for interest on their capital : — W. Clay . . . £100 T. Watt . . . 30 Dec. 31. By Profit lor year . £800 £130 „ Partners, for share of profit : — W. Clay £446 13 4 T. Watt 223 6 8 670 £800 JF. Clay, Capital Account. £800 Dec. 31. To Balancti £2546 13 4 Jan. 1. By Balance. . . £2000 Dec. 31. ,, Profit and Loss (in- terest) . . 100 ,, Profit and Loss . 446 13 4 £2546 13 4 £2546 13 4 T. Watt, Capital Account. Due. 31. To Balance . £853 G 8 Jan. 1. By Balance . Dec. 31. ,, Profit and Loss (in- terest) ,, Profit and Loss £600 30 223 6 8 £853 6 8 £853 6 _8 I 200 ACCOUNTING IN THEORY AND PRACTICE Of the additional profit of £100 due to the extra capital put into the business by W. Clay, he gets ^83:68. 8d., equivalent to 8 J per cent on the additional capital ; and the balance, £16 : 13s. 4d., goes to T. Watt. It therefore pays W. Clay to put the £1000 into the business, unless he can earn a larger rate than 8 J per cent elsewhere. On the other hand, if it is assumed that only 1 per cent is made by the firm on the additional capital of £1000 paid in by W. Clay, then the Profit and Loss Appropriation Account and partners* accounts would be as follows • — Profit and Loss Appropriation Account. Dec. 31. To Partners, for interest on their capital : — W. Clay . . £100 T. Watt. . . 30 Dec. 31. By Profit for year . £710 £130 „ Partners, for share of profit : — W. Clay £386 13 4 T. Watt 193 6 8 580 £710 £710 PT, Clay, Capital Account. Dec 31. To Balance £2486 13 4 £2486 13 4 Jan. 1. By Balance. . . £2000 Dec. 31. ,, Profit and Loss (in- terest) . 100 „ Profit and Loss . 386 13 4 £2486 13 4 T. jrattj Capital Account. Dec. 31. To Balance £823 6 8 £823 6 8 Jan. 1. By Balance . . . £600 Dec. 31. ,, Profit and Loss (in- terest) . . . 30 „ Profit and Ix>s» , 193 6 8 £823 6 8 INTEREST ON PARTNERS' CAPITAL 201 W. Clay gets £23 : 6s. 8d. of additional profit, which is equivalent to 2^ per cent on the additional capital he has put into the business. T. Watt, however, gets £13 : 6s. 8d. less profit, so that he loses by the additional capital being put in. It pays W. Clay to invest his money in the business so long as he is unable to get a greater rate than 2 J per cent elsewhere. IrUtrest to he allowed on the Excess and charged on the. Deficiency of the Capital of each Partner beyond or under a certain fixed Sum, Deeds of co-partnery very often contain provisions which it is exceedingly difficult to interpret, and it is fre- quently desirable that the partners should sign an additional agreement explaining what the intention of the stipulations in the deed of co-partnery exactly is. When there is a provision such as the above in a deed of co-partnery, the simplest way of giving effect to the provision is to calculate interest on each partner's account as it stands, including his drawings, and when the total interest for the period is thus ascertained to deduct from it the interest on the stipulated sum for the period. Thus, suppose W. Hay and R White are in partnership under the firm of Hay & White, and that the deed of co-partnery stipulates that interest at 5 per cent is to be allowed on the excess and charged on the deficiency of the capital beyond or under £1000 in the case of W. Hay and £800 in the case of R. White, and that the profits thereafter have to be divided in the propor- tion of two-thirds to W. Hay and one-third to R. White. The working-out of the partners' accounts and the Profit and Loss Account, giving effect to these stipulations, would be as follows : — 202 ACCOUNTING IN THEORY AND PRACTICE W. Hay, Capital Account. June 30. To Cash Deo. 31. ,, Balance Interest to 81st Dec. £5 £200 . 1915 16 8 £2115 16 8 Interent to 81st Dec. Jan. 1. By Balance £75 Dec. 31. ,, Interest. ,. Protit . £1500 20 595 16 8 £2115 16 8 R. White, Capital Accmmt. June SO. To Cash Dec. 31. ,, Interest ,, Balance Interest to Slst Dec £3 15 £150 13 15 734 3 4 £397 18 4 Interest to Slst Dec Jan. 1. By Balance £30 £600 Dec. 31. „ Protit . . . 297 18 4 £897 18 4 Profit and Loss Appropriation Account. ii Dec. 31. To W. Hay, Capital Ac- Dec. 31. By J count, for interest : — 1 Interest on account II ' for year . . . £70 Deduct— „ Interest on £1000 50 £20 ,, Partners* accounts, for share of net protit : — W. Hay, two- thirds £595 16 8 R. White, one-third. 297 18 4 893 15 £913 15 _0 „ R. White, Capital Ac- count, for interest : — Interest on £800 . £40 Deduct — Interest on his account 26 5 13 16 £913 15 Interest to he allowed on the Excess and charged an the Deficiency of the Capital of ea^h Partner beyond or umier a certain fixed Ratio. When there is such a stipulation in a deed of co- partnery, interest should be calculated on the partners' individual accounts, and the sum of this interest is the INTEREST ON PARTNERS' CAPITAL 203 total interest on the capital, and the proportion of each partner may thus be ascertained. If the actual interest on any partner's account exceed the amount brought out by this proportion, he should be credited with the difference, but if the actual interest on any partner's account is less than that brought out by the proportion his account should be debited with the difference. Thus, suppose that in the previous illustration the stipulation in the deed of co- partnery was that the capital was to be provided in the proportion of two-thirds by W. Hay and one-third by K. White, and that interest was to be allowed on the excess and charged on the deficiency of the capital of each partner beyond or under this ratio. The total interest on W. Hay's account is £70 and on R White's £26 : 58., so that the total interest on the capital of the firm is £96 : Ss. The portion of this effeiring to W. Hay is two-tliirds, or £64 : 3s. 4d. As his account shows £70, he must be credited with £5 : 16s. 8d. The portion effeiring to R White is £32 : Is. 8d., and as the interest on his account is only £26: 5s., he must be debited with £5: 16s. 8d. Giving effect to these entries, the Capital and Profit and Loss Accounts would be as follows : — W. Hay, Capital Account. Interest to Slst Dec. June 30. To Cash .£500 £200 Dec. 31. ,, Balance 1905 16 8 £2105 16 8 Interest to 3l8t Dec. Jan. 1. By Balance £75 £1500 Dec. 31. ,, Interest . . 5 16 8 .. Protit . . . 600 £2105 16 8 R. White, Capital Account. Interest to Slst Dec. June 30. To Cash . £3 15 £150 Dec. 31. ,, Interest „ Balance 5 16 8 744 3 4 £900 Interest to Slst Dec. Jan. 1. By Balance £30 ' £600 Dec. 31. „ Profit 300 £900 204 ACCOUNTING IN THEORY AND PRACTICE Profii and Loss Appropriation Account. Dec. 31. To W. Hay, Capital Account, for interest : — Interest on ac- count for year Deduct — Proportion of £96 : 5s., being two-thirds of total interest . £70 II Partners' Ac - counts, for share of net profit: — W. Hay, t w o - thirds £600 R. White, o n e • third 300 64 3 4 £5 16 8 900 £905 16 8 Dec. 31. By Profit earned for year R. White, Capital Ac- count, for interest : — Propor- tion of £96 : 58., being one- third of total in- terest £32 Dedttet — Interest on ac- count foryear 26 5 1 5 This method of allowing interest on the excess and charging it on the deficiency of the capital of each partner beyond or under a certain ratio gives the same results as allowing and charging interest in the usual way, always provided that the proportion of capital held by each partner is the same as his proportion of the profit The following are the accounts as drawn up in the usual way, and it will be seen that the partners* balances of capital are the same as given above, as the capital held by the partnera was two-thirds and one-third, and the profits were allocated also in the proportions of two-thirds and one-third. fF, Hay, Capital Account. June 30. To Cash Dec 31. ,, Balance . PARTNERSHIP^DIVISION OF PROFITS 205 £900 June 30. To Cash Dec. 31. ,. Balance . £150 744 3 4 Jan. 1. By Balance . . . £600 Dec. 31.,, Interest Cr. £30 Dr. 3 15 26 5 .. Profit . . . . 267 18 4 £894 3 4 1 £894 3 4 Profit and Loss Appropriation Account. 5 16 8 £905 16 8 Dec. 31. To Interest on partners' capital : — W. Hay . . £70 R. White . . 26 6 „ Partners' accounts, for share of net profit : — W. Hay, two- thirds £535 16 8 R. White, one-third 267 18 4 £96 5 803 15 €900 Dec. 31. By Profit earned for year £900 £900 £200 1905 16 8 £2105 16 8 Jan. 1. By Balance . . £1500 Dec. 31. ,, Interest Cr. £75 Dr. 6 70 „ Profit . , . 535 16 8 £2105 16 8 DIVISION OF PROFITS The division of the profits of partnerships is governed by the contract of co-partnery, and by the provisions of the Partnership Act of 1890. The contract of co-partnery must be carefully read by the accountant, and all its stipulations given effect to. Sometimes contracts through being drafted by those not skilled in accounting contain provisions which if given effect to would have exactly the opposite effect of the intention of the parties, and in such cases great common sense and tact are requisite in framing the accounts. Where the provisions of a contract have not been exactly given effect to, the partners should be requested to put a docquet upon the deed of co-partnery making the necessary alteration upon it. Very often an accountant is asked to revise the draft of a deed of co-partnery, and in such cases he has an opportunity of seeing that all the provisions relating to his department will express the intentions of the parties. 2o6 ACCOUNTING IN THEORY AND PRACTICE I I. Profits to he divided in proportion to each Partner's Capital. Sometimes the division of the profits of a co-partnery is made according to the capital which each partner puts into the business. In such cases each partner is credited with the said amount in an account headed with the name of the partner, and the words " Capital as fixed in Deed of Co-partnery " are added. These accounts are always kept at the same figure, and other accounts are opened for the drawings of the partners and such other items as would ordinarily appear in the Capital Accounts. Rule. To allocate the profit made by partners in proportion to each partner's capital as fixed in the deed of co-partnery, divide the profit to be allocated by the total capital as fixed in the deed of co-partner}-. This will give the profit which effeirs to each £1 of capital, and by multiplying this sum by the capital of each partner the share falling to each is ascertained. Thus, suppose the profit to be divided is £900, and that Black's capital is £3200 and Brown's capital £2100. Then the total capital is £5300, and each £1 of capital is £900 therefore entitled to t^tx^, equal to 3s. 4'755d. This sum multiplied by 3200 gives £543 : 8s. Od. as Black's share of profit, and multiplied by 2100 gives £356 : 12s. Od. as Brown's share. II. Profits to he divided in Proportion to each Partner* s Capital and the time such Capital has heen in the Bicsiness. Dividing the profits according to the amount of each partner's capital and the time it was of service to the co-partnery is practically the same as dividing the profits in the form of interest on the partners' accounts. Pule. To divide the profits of a co-partnery according to the amount of each partner's capital and the time it has been PARTNERSHIP— DIVISION OF PROFITS 207 in the business, multiply the sums on the credit side of each partner's account by the portion of time from the date of payment to the close of the account, and deduct from the sum of these products the sum of the products of the debit side formed in the same way. This will give the net products for each partner, and the profit to be allocated should be divided according to these products. Thus, suppose the profit to be divided is £700, and the Capital Accounts for the year were as follows : — W. Boss, Capital Account. Dr. Aug. 1. To Cash Oct. 1. do. £500 200 Jan. 1. By Balance May 1. ,, Cash Nov. 1. ,, do. Cr £1000 0' 300 200 A. Scott J Capital Account. Dr. Jan. 1. By Balance June 1. ,, Cash . Dec. 1. do. Cr. £600 500 50 On the basis that the time is taken in months the question is worked out as follows : — fV, Moss — 1000 X 12 12,000 300 X 8 2,400 200 X 2 400 Deduct — 14,800 A Scott— 500x5 2500 200x3 600 600 X 12 7200 500 X 7 3500 50 X 1 50 3,100 11,700 10,750 22,450 208 ACCOUNTING IN THEORY AND PRACTICE W. Koss is entitled to g-y^^^^ ^^ ^*^^^' ®^"*^ ^ £364: 168. 3d., and A. Scott to ^l^^ths of £700, equal to £335 : 38. 9d. The average capital of each partner is found by divid- ing their net products by 12. Thus W. E08S, ^^^, equals £975. A. Scott, ^^~. equals £895 : 16s. 8d., and the question practically resolves itself into dividing the profits according to the average capital of the partners. On the more correct basis that the time is taken in days, the profit of £700 would be divided as follows :— W. Boss- 1000 X 365 300 X 244 200 X 60 365,000 73,200 12,000 450,200 Deduct- 500 X 152 200 X 91 76,000 18,200 A Scott— 94,200 356,000 600 X 365 500 X 213 50 X 30 219,000 106,500 1500 327,000 683,000 W. Ross is entitled to ^ll^^ths of £700, equal to 683,000 327,000 £364 : 173. 3d., and A. Scott to ths of £700, equal 683,000 to £335 : 2s. 9d. The difference by this more correct method is one shilling in favour of W. Eoss. Suppose again that A and B enter into a series of trans- actions as partners, on the footing that the profits at the end PARTNERSHIP—DIVISION OF PROFITS 209 of the year are to be divided according to the amount of the capital each has subscribed, and the time it has been in- vested. Suppose, further, that the profit is £1000, and the capital transactions as follows : — Dec. 31. A pays in cash .... B do. .... Feb. 28. A do. ... May 31. B do. .... If a month is taken as the unit of time the profit is divided as follows : — £2000 1500 600 500 A. Deo. 31. Feb. 28. B. Dec 31. May 81. Capital. Months to 8l8t Dec. Product. £ <. 2000 600 d. 12 10 £ s. d. 24,000 6000 1500 500 12 7 30,000 18,000 3500 21,500 A's capital is thus equal to £30,000 for one month, and B*8 capital is equivalent to £21,500 for one month. The profit of £1000 thus falls to be divided : — A=£1000x B=£1000x 30,000 30,000 + 21,600 21,500 30,000 + 21,500 = £582 10 6 = 417 9 6 £1000 •<*■ 2IO ACCOUNTING IN THEORY AND PRACTICE PARTNERSHIP— DIVISION OF PROFITS 211 ■ If a day is taken as the unit of time we have : — ■ A. Dec. 31. Feb. 28. B. Dec. 31. May 31. Capital. Days to 31st Dec. Product. £ a, d. 2000 600 365 306 £ 8. d. 730,000 183,600 1500 500 365 214 913,600 547,500 107,000 654,500 A's capital is thus equal to £913,600 for one day, and B's capital to £654,500 for one day. The profit of £1000 falls to be divided thus : — 913,600 A = £1000x B = £1000x 913,600 + 654,500 654,500 913,600 + 654,500 = £582 12 4 = 417 7 8 £1000 III. Profits to he divided in 'proportion to certain fixed ratios. The most usual way to divide the profits of a co- partnery is in proportion to certain ratios which are fixed by the deed of co-partnery. Before these ratios are applied to the net profit, allowance must be made for any salary to the partners and interest on the partners' Capital Accounts. Bide. To allocate the net profit made by partners in proportion to certain fixed ratios, add the ratios together, divide the profit to be allocated by this figure, and multiply the result by the numerator of each partner. Thus, to divide £900 of net profit among A, B, and C in the proportion of 2, 3, and 4, we have as the addition of the ratios 9. Dividing the £900 by 9 we get £100, which multipHed by 2, 3, and 4 gives £200, £300, and £400 as the shares of A, B, and C respectively. Similarly, to divide £1200 among A, B, and C in the proportion of -J^, -J-, and J. Reducing the ratios to one common denominator, we obtain 2, 3, and 1 as the ratios, after reducing to the common denominator, 6. Dividing £1200 by 6 we obtain £200, and £200 multiplied by 2, 3, and 1 gives £400, £600, and £200 as the share of A, B, and C respectively. Assumption of a Partner. The following is the Balance Sheet of the firm of Cowan & Company at 3l8t December. It has been arranged by the two partners that a third partner, R Wilson, is to be taken into partnership, and he pays on 31st December £36,000 into the old firm's Bank Account. Of this sum £28,000 is to be placed to the credit of R Wilson, and the balance of his payment to the old partners as considera- tion for being taken into partnership. The old partners are to share the £8000 in proportion to their capital, but are to leave it in the business. For the new partnership 4 per cent is to be written off the book debts in respect of bad debts and discount, the value of the stock on hand is to be reduced to the extent of 5 per cent, and the copy- rights, printing plant, and office fixtures and furniture were valued mutually, as follows : — Copyrights Printing plant and oifice Fixtures and furniture £24,000 25,000 1,700 The other assets and liabilities were to be taken as they appear in the Balance Sheet The following are the accounts of the old partners, and the Balance Sheet of the new firm as at 1st January, giving effect to the cash payment by R Wilson and the above values : — 212 ACCOUNTING IN THEORY AND PRACTICE COWAN h CO.. PRINTERS AND PUBLISHERS Balance Sheet as at 3 1st December. Liabilities, Assets, Due to trade creditors . £15,000 Loans Capital : — J. Cowan W. BeU £30,000 20,000 7,000 60,000 £72,000 Book debts . . . £8,000 Stock :— Books . £4,000 Paper, ink, etc. 3,000 7,000 Copyrights . . . 25,000 Printing plant and oflSce 30,000 Fixtures and furniture . 1,600 Bank of Scotland . . 600 £72,000 1- J, Cowarif Capital Account. Dec 31. To Share of depreciation, being |ths of the decrease in the values of assets taken over by new firm, as follows : — Book debts . £192 Stock . . 210 Copyrights . 600 Plant and oflSce . 3,000 £4,002 Deduct — Share of in- crease m value ot fixtures and furniture . 120 £3,882 „ Balance . . 30,918 £34,800 _0 )l Dec. 31. By Balance £30,000 Share of £8000 paid by R. Wilson in re- spect of part- nership (fths of £8000) . 4,800 £34,800 PARTNERSHIP^DIVISION OF PROFITS 213 W, Bdlf Capital Account Dec. 31. To Share of deprecia- tion, being fths of the decrease in the values of assets taken over by new firm, as follows: — Book debts Stock Copyrights Plant and office Deduct — Share of increase in value of fixtures and furniture „ Balance £128 140 400 2,000 £2,668 80 £2,588 20,612 £23,200 »« Deo. 31. By Balance . . £20,000 Share of £8000 paid by R. Wilson in respect of partnership (fths of £8000) . . 3,200 £23,200 COWAN & CO., PRINTERS AND PUBLISHERS Balance Sheet of new firm as at 1st January. Liabilities. Assets. Due to trade creditors . Loans Capital : — J. Cowan . £30,918 W. Bell . . 20,612 R. Wilson . 28,000 £16,000 7,000 79,630 £101,630 Book debts . Stock : — Books Paper, ink, etc. £3,800 2,860 Copyrights . Printing plant and office Fixtures and furniture Bank of Scotland £7,680 6,650 24,000 25,000 1,700 36,500 £101,630 Dissolution of Partnership. Under the deed of co-partnery of the firm of Millar, Nimmo, & Orr the three partners were interested in the profits of the business in the ratio of 2, 3, and 4 respec- tively, and 5 per cent was to be allowed on their capital before dividing the profits. In the event of the death of any of the partners, it was provided that the amount due ¥ 214 ACCOUNTING IN THEORY AND PRACTICE \\ to his representatives should be the sum at his credit in the books of the concern at the date of the last annual balance, together with any sums since paid into the business by the deceased, interest on his capital, and a sum in respect of profit since the last balance to the date of death, based on the average yearly profits for the three years preceding the date of last balance, less any drawings from the business since that date. The balance so ascertained was to be paid to the representatives of the deceased partner in three equal instalments, for which bills were to be granted by the remaining partners, payable in three, six, and nine months from the date of death, and these bills were to include interest at the rate of 5 per cent. It was further provided that in the event of the decease of a partner the goodwill of the business was to be valued at one year's purchase of the average profits for the three years immedi- ately preceding, and the share of the deceased partner was to be credited to his account. W. Orr died on 30 th June. The average annual profits during the three years ending 31st December immediately preceding the death of W. Orr amounted to £18,000. From the following Trial Balance as at 30 th June it is required to prepare a Trading Account, Profit and Loss Account for the six months. Partners' Accounts, and the Balance Sheet of the firm as at that date, after giving effect to the transactions consequent on the death of W. Orr. The amount to be credited to the partners in respect of interest on capital for the six months was £900, as follows: — A. Millar . J. Nimmo . W. Orr . £200 250 450 £900 Charge 5 per cent on the value of the factory to the Trading Account in respect of rent of factory, and write off 10 per cent from the plant for depreciation for the six months. The stock on hand at 30 th June amounted to £5300. PARTNERSHIP— DIVISION OF PROFITS 215 Trial Balance as at 30 th June. Stock at 1st January . Purchases .... Factory wages and salaries Discount received, less discount allowed Sales . . . Bills receivable Bills payable Office salaries . Office expenses . Customers' Accounts Bad debts . Cash Travelling expenses . Factory rates and taxes Office rent, rates, taxes, surance Factory Plant and machinery Office fixtures and fittings Trade creditors Interest A. Millar, Capital Account J. Nimmo, do. W. Orr, do. and in £10,000 160,000 25,000 2,000 400 200 50,000 1,500 3,000 800 100 200 6,000 2,000 250 800 £262,250 £2,000 200,000 5,000 15,000 9,000 11,750 19,500 £262,250 Trading Account For Six Months ending ZOth June, Jan. 1. To Stock £10,000 June 30. By Sales . £200,000 lane 30. ,, Purchases 160,000 . Stock 5,300 £170,000 „ Factory, wages, and salaries . 25,000 ,, Factory rates and taxes 100 „ Rent of factory 300 ,, Depreciation at 10 per cent on plant and ma- cnmery . 200 £195,600 „ Profit and Loss Account 9,700 £205,300 £205,300 J 2i6 ACCOUNTING IN THEORY AND PRACTICE Profit and Loss Account For Six Months ending 30th June. June 30. To OflBce expenses :— June 30. By Trading Account £9,700 Salaries £400 ,, Trading Account, Rent . 200 for rent of factory 300 General expenses 200 „ Discount . . 2,000 £800 „ Travelling ex- penses . ,, Bad debts . 800 1,500 „ Interest 800 ,, Interest on capital : — A. Millar £200 J. Nimmo 250 W. Orr 460 900 £4,800 a, W.Orr, sum credited to his account in terms of deed of co- partnery (Iths of £9000) 4,000 „ Balance of net profit, allocated thus : — A. Millar, |ths . £1280 J. Nimmo, {ths . 1920 3,200 £12,000 £12,000 _0 The partners* accounts are as follows • — A. MUlai^s Capital Account June 30. To Balance . • £10,480 £10.480 Jaue 30. By Balance . . £9,000 ,, Interest on capital . 200 „ Share of profit (|thsof£3200) 1,280 £10,480 PARTNERSHIP^DIVISION OF PROFITS 217 /. Nimmds Capital Account, June 30. To Balance . . £13,920 £13,920 June 30. By Balance . . £11,750 , , Interest on capital . 250 ,, Share of profit ( Jths of £3200) 1,920 £13,920 W. Orr's Capital Account. June 30. To Balance carried June 30. By Balance • £19,500 to W.Orr's Re- ,, Interest on presentatives* capital „ Profit and Loss, 450 Account . £31,950 ■ for share of profit per deed of co-partnery (|ths of £9000) 4,000 ,, Share of good- I will (^ths of £18,000) 8,000 £31,950 £31,950 The above balance of £31,950 is to be paid to W. Orr's representatives in three equal portions, for which bills were to be granted at three, six, and nine months, with interest at 5 per cent added. Three months' interest on £10,650 at 5 per cent is £133 : 2s. 6d., so that the amounts of the bills would be as follows : — First bill at 3 months . Second bill at 6 months Thu-d bill at 9 months . £10,783 2 6 10,916 5 11,049 7 6 The Journal entries for the transactions consequent on the death of W. Orr would be as follows ; — I 2i8 ACCOUNTING IN THEORY AND PRACTICE Journal, 30th June. i'iotit and Lostt Account, lor capital To A. Millar . ,, J. Kimmo . „ W. Orr interest on Dr Goodwill .... To W. Orr, Capital Account Profit and Loss Account, for net profit Dr To A. Millar, Capital Account . ,, J. Nimmo, do. ,, W. Orr, do. W. Orr's Capital Account . . I>r. To AV. Orr's Representatives' Account Interest Br. To W. Orr's representatives, lor in- terest on — Bill at 3 months £133 2 6 Bill at 6 months 266 5 Bill at 9 months 399 7 6 W. Orr's representatives . . Dr. To Bills payable, for the following bills : — Bill at 3 months £10,783 2 6 Bill at 6 months 10,916 5 Bill at 9 months 11,049 7 6 £900 8,000 7,200 31,950 798 15 32,748 15 £200 250 450 8,000 1,280 1,920 4,000 31,950 793 15 32,748 16 W. Orr*s Representatives* Account, after carrying the balance from W. Orr's Capital Account and after giving effect to the bill transactions, would be as follows : — W. Orr^s RepreseTiiatives, June 30. To BiUs payable . £32,743 15 I June 30. By Balance, carried from W. Orr's Capital Ac- count . . £31,950 ,, Intereston bills granted for balance due — Istbill £133 2 6 2nd bill 266 5 did bill 399 7 6 i £32,748 15 798 16 £32,748 15 PARTNERSHIP TRANSACTIONS WORKED OUT 219 From the Journal entries it will be observed that an account is opened for goodwill, and the £8000 is debited to it, as that is the cost of goodwill to the new firm. The Interest Account is also debited with £798 : 15s., which will be carried to the Profit and Loss Account for the next period, and appears as an asset in the Balance Sheet prepared after the death of W. Orr. The Balance Sheet prepared immediately after W. Orr's death, and giving effect to all the transactions consequent thereon, is as follows : — Balance Sheet as at 30th June (after giving effect to the transactions consequent on W. Orr*s death). Liabilities. Assets. Due to creditors : — Due by customers : — On open account . £15,000 On open account £50,000 On bills payable . 5,000 On bills receivable 2,000 £20,000 £52,000 Due to "W. Orr's repre- Value of factory . 6,000 sentatives ON BILLS Plant and machinery 1,800 PAYABLE .... 32,748 15 Office fixtures and fit- Capital :— tings . . . . 250 A. Millar £10,480 Interest on bills pay- J. Nimmo 13,920 able EFFEIRINO TO NEXT 24,400 period . . . . 798 15 Goodwill . . . . 8,000 Stock . . . . 5,300 Cash 3,000 £77,148 15 £77,148 15 _0 X PAKTNEKSHIP TKANSACTIONS WOEKED OUT A Trading Account, a Profit and Loss Account, Partners' Capital Accounts, and a Balance Sheet have been prepared from the following particulars, and are shown here. T. Hall and W. Blyth enter into partnership on 1st January, when they purchase a going business. T. Hall contributes £2500 and W. Blyth £1500, and the profit or loss is to be divided in the same proportion. T. Hall is to be entitled to a salary of £250 and W. Blyth to a salary of £600 before dividing the profit Interest is to be allowed on the capital at the beginning of the year at the rate of 5 per cent li 220 ACCOUNTING IN THEORY AND PRACTICE At 3l8t December the Trial Balance of the business was as follows : — # T. Hall, Capital Account W. Blyth, Capital Account . Stock at beginning of year Purchases Sales Consignments Book debts receivable, including consign- ments Creditors Borrowed capital Plant and fixtures Wages Salaries Rent and taxes Trade charges Interest and discount . . . . Commission Gosh in bank .....! £2,500 1,500 8,000 4,000 2,600 1,000 420 £19,920 At 31st December the stock on hand was valued at £3957. The proportion of insurance premiums paid but unexpired amounted to £15. On 31st December a quarter's rent in advance was paid, amounting to £48, and is included in the item of £250. Keserve 2 per cent on the total sales and consignments for loss through bad debts. Provide for interest on borrowed capital for three months ending 31st December at 4 per cent Trading Account, Jan. 1. To Stock at beginning of year . . £2,000 Dec. 31. f> Purchases 10,000 I. n £12,000 Deduct—' Stock on hand at 31st December . 3,957 Cost of Groods Wages . £8,043 2,270 t> £10,313 Profit and Loss Ac- count, being gross profit . . . 2,107 £12,420 Dec 31. By Sales . . . £8,000 ,, Sales on consignment 4,000 .. Commission . . 420 PARTNERSHIP TRANSACTIONS WORKED OUT 221 Profit and Loss Account for the Year ending Slst December. Dec. 31. To Rent and taxes : — Cash paid • Deduct — Rent paid in ad- vance Dec. 31. By Trading Account, for gross profit . . £2107 I £250 48 ,, Trade charges : — Cash paid £300 Deduct — Insurance un- expired IS ,. Interest and discount : — Amount dur- ing year £200 Interest due on borrowed capital 10 , , Bad debts reserve: — 2 per cent on turn- over of £12,000 I Salaries . • ,, Balance carried down Deo. 31. To Interest on partners' capital : — T. Hall W. Blyth . }i Partners' salaries : — T. Hall . £250 W. Blyth . 600 £202 285 210 240 200 £1137 970 £2107 £125 75 £200 850 £1050 II Dec. 31. By Balance brought down Partners' Capital Ac- counts, for share of net loss, after charg- ing interest on capi- tal and salaries to partners : — T. HaU (Iths of £80) £50 W. Blyth (f ths of £80) 30 £2107 £970 80 £1050 £12,420 II 222 ACCOUNTING IN THEORY AND PRACTICE Partners' Accounts r. Hdlj Capital Accouni, Dec. 31. To Cash, drawings Profit and Loss Ac- count (|ths of £80) Balance , . i> tt £300 60 2525 £2875 Jan. 1. By Cash . . . £2500 Dec. 31. ,, Interest on above for one year at 5 per cent . 125 Profit and Loss Ac- count, for salary . 250 II JF. Bhjthf Capital Account. HALL AND BLYTH Balance Sheet as at 31 st December. Liabilities. Assets, Trade creditors . Borrowed capital : — Amount of loan Interest to date quarter at 4 per Partners Capital : — T. Hall W. Blyth . * m m £1000 (for cent) 10 £2525 1445 £2500 1010 Due by customers : — Amount due Dedtcet — Reserve for bad debts at the rate of 2 per cent on total sales and consignments . £2875 Dec. 31. To Cash, drawings £700 Jan. 1. By Cash £1500 „ Profit and Loss Ac- Dec. 31. ,, Interest on above count (fths of £80) 30 for one year at 5 ,, Balance . • 1445 per cent „ Profit and Loss Ac- count, for salary . 75 600 £2175 £2175 £3000 240 3970 Stock on hand . Plant and fixtures Charges paid in advance : — Insurance premiums Rent .... • • £2760 3957 400 £15 48 Cash in bank . . . • 63 300 £7480 £7480 _0 PARTNERSHIP 223 Eocercises, 1. X and Y agree to enter into partnership on 1st January. Each brings £3000 in cash into the business. They agree to take over heritable property worth £5000 belonging to X. Y brings into the business goods worth £2000 and book debts valued at £2800. Prepare a Balance Sheet of the new firm as at 1st January. 2. X and Y are in partnership together on equal terms. X's capital at the beginning of the year was £2000 and Y's £1000. X has drawn £200 at the end of each quarter, and Y has drawn £300 at the end of each half-year. The profit for the year has amounted to £1500. Show the partners* Capital Accounts at the close of the year, allow- ing interest at the rate of 5 per cent on the capital, and charging interest at the same rate on the partners' drawings. 3. A and B, partners in a mercantile business, share profits and losses equally. At the end of five years the partnership terminated, and the Balance Sheet showed the following : — Liabilities. Assets. Creditors . . . £3000 Bills payable . .1000 Capital : — A . £3000 B . 1000 4000 Accounts receivable . Goods Plant and machinery Cash in bank . £3000 4000 400 600 £8000 _0 £8000 _0 Subsequently the business as it stands (except cash in bank) was sold for £5500, the purchaser taking over the liabilities. Make final adjustments and closing entries, and show the amount each partner receives. 4. Messrs. Smith and Brown embarked in business, agreeing to share profits equally, and to receive 5 per cent interest on their capital from time to time. The partners were to receive salaries of £300 and £200 per annum, to be charged to Salaries Account. At the end of a year the capital paid in was as follows : — 224 ACCOUNTING IN THEORY AND PRACTICE SmiiK Jan. 1. Cash Mar. 31. ,» July 15. „ . £500 . 400 . 600 Brown, Jan. 1. Cash . Mar. 15. July 1. >• f> . £500 . 300 . 600 On 31st December the books were closed, and it was found that there was a profit of £2000 before charging partners' salaries. Prepare Capital Accounts, showing amount due to each partner. 5. Messrs. Thin and Black are partners in business, sharing profits and losses equally. From the following Trial Balance of their Ledger at the close of the year prepare a Profit and Loss Account, Capital Accounts of the two partners, and a Balance Sheet as at the close of the year. John Thin, Capital Account . Richard Black, Capitol Account Bank . Goods . Bills receivable Bills payable Trade expenses Interest Wages . Sundry book aa;ounts receivable C^. do, payable £3000 800 3200 100 30 350 800 £8280 £2000 1800 2100 2380 £8280 Total of inventory of goods on hand at close of year, £2500. 6. The capital of three partners. A, B, and C, in a manufacturing business on 1st January was £25,000, of which A owned one-fifth, B two-fifths, and C two-fifths. On 31st December, one year thereafter, the condition of the business was found to be as follows : — Assets. Liabilities. Land and buildings . £16,000 Plant and machinery 7000 Stock on hand . . 2000 Book debts . . 6000 Cash in bank . . 3000 £34,000 Creditors £8000 Partners' withdrawals :— A, £1500 ; B. £1000 ; C, £2000. PARTNERSHIP 225 After crediting interest on capital at the credit of each partner at the beginning of the year at the rate of 5 per cent, show the net result for the year, and distribute the same, in the proportions of the partners' capital, to the partners' accounts. Prepare partners' Capital Accounts, showing the condition of each at the end of the year. 7. Messrs. Smith & Black are partners on equal terms, and they agree to dissolve partnership on 30 th June. The following is the balance of their books at that date : — Customers' Accounts Creditors' Accounts Machinery and plant Stock in trade Bank . Profit and Loss Account Smith, Capital Account Black, Capital Account £7,000 £8.000 3,000 4,000 1,000 1,500 2,000 1,500 £14,000 £14.000 _0 Black is to take over the business on the footing of the above balance, subject to 10 per cent being written off Customers' Accounts for bad debts, and 5 per cent being written ofif machinery and plant for depreciation. Show how this arrangement will be carried out, and how much Black will have to pay Smith. 8. A and B have been in partnership for some years, sharing the profits equally, and on 31st December their Balance Sheet was as follows : — Balance Sheet as at 31st December. Liabilities. Assets. Creditors . Capital Accounts :- A . £9,800 B . 10,000 £2,000 19,800 £21,800 Customers . . £10,000 Goods , . . 7,000 Plant and machinery 4,000 Bank ... 800 £21,800 They resolve to assume C as a partner as at 1st January. The members of the new firm are to share Q J H 226 ACCOUNTING IN THEORY AND PRACTICE PARTNERSHIP 227 profits equally. In respect of being assumed as a partner C agrees to pay A and B each a sum equivalent to one yearns profits based on the average for the last three years, and is to place £10,000 in the business as his capital. It is agreed that from the assets appearing in the above Balance Sheet 5 per cent is to be reserved off Customers* Accounts for discount and bad debts, and 10 per cent is to be written off machinery and plant for depreciation. The annual average profit for the past three years is £1500. In settlement of the transaction C pays £13,000 into the firm's Bank Account on 1st January. Prepare Balance Sheet of the new firm immediately thereafter. 9. John Kay and William Mackay start in business as wholesale warehousemen on 1st January. £12,000 was brought in by John Kay, and £8000 by William Mackay. The profits are to be divided in proportion to the capital brought in. On 31st December stock was taken, and amounted to £12,600, and the Trial Balance of the books at that date was as follows : — Purchases .... Sales Freight and carriage Salaries and wages Rent, rates, taxes, and insurance Travelling expenses Discount and commission Gas and fuel .... Office and petty expenses Trade debtors Bank Trade creditors John Kay, Capital Account W. Mackay, Capital Account . John Kay, Drawing Account . W. Mackay, Drawing Account £28,750 4:20, 400 120 570 220 190 70 40 120 4,320 6,750 2,750 , 12,000 ' 8,000 1,200 800 £43,150 £43,150 Prepare from the above data the necessary closing entries, and make out the Profit and Loss Account and Balance Sheet, showing the exact position of the firm at 31st December. 10. The following is the Trial Balance of Brown & Smith, who are equally interested in the business, as at 31st December: — Stock on hand at beginning of year Purchases during year Sales during year . . Stock on hand at end of year, £7000. Discount .... Rent, rates, and taxes Wages .... Salaries .... Expenses Stationery and postages . Bills payable . Bills receivable Creditors' open accounts . Customers' open accounts Bank .... Brown, Capital Account . Smith, Capital Account . Jt:8,000 40,000 1,500 2,000 500 250 100 2,000 6,000 1,000 £50,000 300 £60,350 3,000 4,000 1,500 1,550 £60,350 The partners agree to dissolve on the footing that Smith retires from the business and is to get one-half of the good- will of the business, which is to be taken as worth three years' profits of the average for the last three years, in- cluding the year of which the above is the Trial Balance. The profits for the two previous years have been £3500 and £3000. In ascertaining the profit for the last year reserve 5 per cent on Customers' Accounts and Bills Keceivable for bad debts. Show the partners' Capital Accounts and the Balance Sheet of the business after Smith has been paid by cheque the balance due to him. 11. William Johnston and Edward Brown entered into partnership on 1st January, under the style of Johnston & Brown, as wholesale and general ironmongers. On 1st January Johnston paid in as his capital £3000, and Brown £2000. The profits are to be divided in propor- tion to the capital brought in. Interest at 5 per cent is to be charged on their respective drawings. On 31st December stock was taken, and amounted to £1000. The Trial Balance of the books as at that date was as follows : — 228 ACCOUNTING IN THEORY AND PRACTICE PARTNERSHIP 229 Plant and machinery . Ofl&ce furniture and fittings Horses, carts, and harness . Purchases Sales Rent, rates, taxes, and insurance Office and general expenses Freight and carriage . Horse keep . . • • Discounts and allowances . Interest, commission, and bank charges Printing, stationery, and advertising Travelling expenses . Salaries and wages William Johnston, Capital Account Edward Brown, Capital Account William Johnston, drawings on 80th June Edward Brown, drawings on 30th June Trade debtors Trade creditors £1,800 100 200 u 6,000 £8,500 U 150 130 120 80 40 30 20 130 1,000 3,000 2,000 700 600 3,000 500 £14,000 £14,000 Prepare Profit and Loss Account, having first dealt with the interest referred to in the preliminary paragraph, pass the profit or loss, as the case may be, to the partners' accounts, and prepare a Balance Sheet as at 31 st December. 12. A, B, and C enter into partnership on 1st January. A contributes £1800, B £1200, and C £600. The profits and losses are to be divided in the same proportion. The partners agree that before dividing the profits there shall be charged as an expense of the business, and placed to their individual credit, salaries as follows: A £100, B £100, and C £50. At 31st December the Trial Balance of their books showed the following : — Capital, A ,, B „ C Cash on hand and in bank Stock at 1st January .... Purchases Sales Plant and fixtures . . • Book debts receivable, including consign- ments .• *>ioo Consignments outwards, price realised . Trade creditors Loan Account Interest Salaries Wages £1,800 1,200 600 £400 2,100 10,300 6,500 400 4,100 6,700 2,890 1,200 50 650 400 Brought forward Rent, rates, and insurance, etc. Interest and discount Losses on Exchange Commissions Drawings, A (including salary of £100) B (including salary of £100) (including salary of £50) £18,350 200 250 400 550 450 350 £19,940 610 £20,550 £20,550 Their inventory of stock on hand at 31st December amounted to £2300. Unexpired insurance premium, £5. Rent paid in advance, £10. Prepare a Trading Account (cost as against proceeds), a Profit and Loss Account, and a Balance Sheet ; also partners* Capital Accounts as at 31st December, allowing 5 per cent interest on capital at the begiuuing of the year, and reserving 3 per cent for losses on book debts. 13. From the following particulars of the business of Smith & Brown prepare a Manufacturing Account, a Profit and Loss Account, and Capital Accounts for the year, together with a Balance Sheet as at 31st December. John Smith, Capital Account . Do. Drawings Account William Brown, Capital Account Do. Drawings Account Bills payable . Bills receivable Stock at beginning of year Purchases Sales Customers' Accounts Creditors Machinery Account Buildings Wages . Office furniture Rent Cash on hand and in bank Power, etc. Travelling expenses Commission Discount off purchases Discounts to customers Freight outwards . Fire insurance Interest and bank charges Horse keep Advertising . Bad debts written ott Sundry Expenses . Carry forward £18,350 £19,940 £900 600 885 3,000 6,000 2,000 3,500 1,000 4,000 280 300 250 300 150 200 160 110 80 60 70 85 100 170 £4,000 3,000 500 16,000 600 100 9 I £24 200 £24,200 230 ACCOUNTIXG IN THEORY AND PRACTICE The stock on hand at end of year was valued at £4000. Provide 5 per cent on book debts for bad debts and discount. Write 7 per cent off machinery and office furniture for depreciation. Carry forward unexpired fire insurance, £20. Provide for three days' wages, £40. Partners to get 5 per cent interest on capital at beginning of year (namely £4000 and £3000). Smith to get £700 a year and Brown £400 in respecc of salaiy. Profits thereafter to be divided equally. 14. John Kichards, Mechanical Engineer, agreed to take his manager, Eobert Low, into partnership as at 1st January, the latter arranging to bring in as his capital the sum of £5000, the profits to be divided in proportion to the capital of each partner. On 1st January the balance of John Kichards' books which was accepted by Low was as follows : — Stock in trade Plant and machinery Land and buildings Patent rights — 2 years unexpired Book debts .... Trade creditors Bank John Richards, Capital Account J r sets. £4,500 2,000 3,000 400 2,500 LiahilUics. £2,900 1,500 8,000 £12,400 £12,400 On 31st December the Trial Balance of the books stood as follows, but nothing had been written off in respect of plant and machinery and patent rights. Stock was taken by the partners, and amounted to £5000. Trial Balance as at 31st December. Stock at 1st January Purchases . . . . . Plant and macliinery Land and buildings Patent rights . . . , , Book debts Wages ...... Rent, rates, taxes, etc. . . £4,500 7,000 2,250 3,000 400 3,200 1,500 100 Carry forward . £21,950 PARTNERSHIP 23* Brought forward Coal and lighting . Carnage Trade expenses John Richards, Capital Account Robert Low, Capital Account John Richards, Drawing Account Robert Low, Drawing Account Bank ..... Sales Creditors £21,950 150 100 150 £8,000 5,000 600 400 1,400 10,000 u 1,750 C £24,750 £24,7f>0 Prepare Profit and Loss Account and Balance Sheet, after writing off 5 per cent from plant and machinery and £200 from patent rights, and show the exact position of the two partners as at 31st December. 15. Robert Gow and William Erskine, trading as Eobert Gow & Co., had been in business as general traders for some years, and their books were made up on the 31st December with a view to taking in their foreman, Peter Scott, as from the 1st January. The position of the business at that date was as follows : — • Land and buildings Fixtures and fittings Stock on hand Debtors . . . . Bank . . . . Creditors Robert Gow, capital William Erskine, capital £2,000 400 3,000 1,800 2,000 £1,200 6,000 2,000 £9,200 £9,200 Peter Scott brought in as his capital the sum of £1000, and the profits were to be divided in the proportion of six-ninths to Gow, two-ninths to Erskine, and one-ninth to Scott. The partners were to draw as against profits, on the 1st of each month, the respective sums of £100, £33 : 68. 8d., and £16 : 13s. 4d. On the 31st December the books were made up, and the book-keeper presented to the partners the following as the Trial Balance : — i (I II 232 ACCOUNTING IN THEORY AND PRACTICE tl Land and buildings £2,300 Fixtures and fittings 400 Stock 3,000 Debtors • • 3,600 Creditors £1,100 Bank • • • < 800 Purchases 5,000 Rent, rates, taxes, and insurance 400 Freight and carriage 70 Salaries and wages Coals, gas, and lighting 430 40 Printing, stationery, and advertising 5 60 General office expenses . 50 Discount and commission 150 Robert Gow, drawings . 1,200 William Erskine, drawings 400 Peter Scott, drawings 200 Sales 8,000 Robert Gow, capital 6,000 William Erskine, capital 2,000 Peter Scott, capital 1,000 £18,100 £18,100 JOINT-STOCK COMPANIES' BOOKS 233 The stock was taken by the foreman and partners jointly, and amounted to the sum of £2100. Prepare a Profit and Loss Account, apportion the profit or loss, as the case may be, to the respective partners, and make out a Balance Sheet as at 31st December. 16. On 31st December 1896, Fraser, one of the partners of the firm of Eoss & Eraser, purchased for £3000 Ruby Diamond Co. shares. The expenses of the purchase, amount- ing to £9, were charged to the Profit and Loss Account of the firm. The arbiter, under the contract of co-partnery, decided, on 31st December 1898, that the purchase was ultra vires of the contract of co-partnery. Ross is entitled to two-thirds of the profit and Fraser to one-third, and in- terest is allowed on their accounts at the rate of 5 per cent. At 31st December 1898 the Ruby Diamond Shares Account in the Ledger of the firm had £3000 on the debit side, and no dividends had been received. What entries will be re- quired in the books of the firm as at 31st December 1898 to put matters right ? Show the entries which will require to be made in the partners' accounts. JOINT-STOCK COMPANIES' BOOKS The books of account peculiar to joint-stock companies are those relating to the shares and debentures. The Com- panies Acts prescribe the following statistical books which must be kept : — Register of Members; 1862 Act, sec. 25. Annual List of Members and Summary; 1862 Act, sec. 26. Register of Mortgages; 1907 Act, sec. 10 (not apphcable to Scottish Companies). Minute Book; 1862 Act, sec. 67. Register of Directors and Managers ; 1862 Act, sec. 45— applied to all companies by 1900 Act, sec. 20. The Minute Booh, A Company Minute Book is for the purpose of contain- ing the minutes of the meetings of the shareholders and of the directors. Sometimes one book is kept for the minutes of the shareholders* meetings and another for the minutes of meetings of the directors and committees of the directors. The secretary of the company writes up the minutes. A Scroll Minute Book is of considerable convenience. Minutes may be kept on the principle of giving a short account of everything of importance said or done at a meeting, or they may simply contain a record of the actual resolutions passed or of the findings of the meetings. In the case of directors' minutes it is usual to give the names of directors present, but in the case of shareholders this cannot always be done, although it is advisable to do it as far as possible. The minutes are read and confirmed by the next meeting as to their being records of facts, but in the case of companies they are not formally approved of as decisions. The minutes should be authenticated by the signature of the chairman of the meeting at which they are approved, or of the chairman who presided at the meeting of which the minute is a record. Sometimes the secretary also signs each minute. In 234 ACCOUNTING IN THEORY AND PRACTICE engrossing the minutes in the Minute Book no space should be°left between each minute except what is sufficient for the signatures. The Application and Allotment Book. When a company is being floated, or when it is pro- posed to issue further capital, a prospectus is usually issued containing the necessary particulars to induce investors or speculators to put their money into the concern. A form of application for shares usually accompanies each prospectus. The chief point to be careful about in preparing a form of application for shares is, that it must contain an application for a definite number of shares or debentures and a definite undertaking to accept the shares or debentures allotted. The application must be signed by the person or persons applying. Applications for shares may be withdrawn up to the time of allotment. The application has, as a rule, to be made through the bankers of the company, and it is lodged with them, together with a deposit of so much per share and a certain percentage of the debentures applied for. The banker gives a receipt on the form appended to the form of application, and retains the applications themselves on behalf of the company. These applications may be received from the bankers when the period within which applications may be lodged has expired, and the applications having been alphabetically arranged, the Application and Allotment Book, a specimen of which is submitted, may then be filled up. Sometimes, however, the applications are so numerous that if it is desired, as is often the case, that the allotment should be made within a very short period of the closing of the lists, the applications should he obtained from the bank as soon as they are lodged, and the accountant should have sheets ready ruled similar to the Application and Allotment Book, and a sufficient staff of clerks to write up these sheets. Each sheet should have a letter of the alphabet at the head. These separate sheets, having been written up, are arranged alphabetically and summed, and their totals entered on abstract sheets. The secretary, manager, or promoters of JOINT-STOCK COMPANIES' BOOKS 235 the company should, in the event of the shares being over- applied for, go over the lists and insert in the " proposed allotment " column how they consider the shares should be allotted, being careful to prefer those who are likely to influence favourably the business of the concern. When the directors meet the shares will be actually allotted, and the "shares allotted" column filled in. When there are two classes of shares, or shares and debentures, sometimes separate application letters are issued for each class, and when this is so, different coloured papers should be used for the application letters, and a separate set of application and allotment sheets should be used. Immediately after the directors have allotted the shares the allotment letters and letters of regret should be sent out, and the Return of Allotments required under sec. 7 of the 1900 Act must be made within one month. The great advantage of loose sheets is that any number of clerks may be employed upon the work at one time. Wlien it is no longer necessary to have the sheets separate, they may be bound up into one or more volumes, and form the Application and Allotment Book. Register of Transfers. After the shares have been once allotted all subsequent alterations on the holdings are entered through the Register of Transfers. A form of Register of Transfers is submitted. It is practically a Share Journal, and the headings sufficiently explain its use. Shareholders* Ledger. A form of Shareholders' Ledger is submitted. The left side of the page is for the purpose of showing the shares acquired and the shares disposed of, and the right side of the page is the Cash Account of the shareholder, so far as the shares he holds are concerned. Both accounts are kept on the usual principles of debit and credit, and the headings fully show the method of using it. This ledger also forma the Register of Members prescribed by the Act. i 2 36 A ceo UNTING IN THEOR Y AND PR A CTJCE Application and Date of Application. No. Name. Designation. Address, Shares applied for. PoL Deposit Proposed paid. Allotment. Register f Transferor's Date of „^ . Name. Na of Certiiicate. Ledger folio. Shares transferred. Numbered From To Number of Shares, Amount paid up. • I JOINT-STOCK COMPANIES* BOOKS 237 Allotment Book Sliares aUotted. No. of Allotment Letter. Numbers of Shares allotted. From To Amount due on Allotment. Cash returned. Date Fol. Amount. Remarks. OF Transfers Date Transferee's Oonsideratlon. Transfer passed by Directors. Name. Designation. Address. No. of Certificate. Ledger foUo. t 1 I 238 ACCOUNTING IN THEORY AND PRACTICE Shareholders' Name. Designation Share Account Sharks disposed of. Shares acqttirkd. Balamcbi. 1 Date. Pol. Numbered Shares disposed of. Date. FoL Numbered Shares acquired. No. of Certificate. Date. Shares held. From To From To ' 1 Shareholder-s' Ledger — Preference Name Designation Shares disposed op. rreference. Shares disposed of. Paid up. Ordinary. Numbered From To Shares disposed of. Paid up. JOINT-STOCK COMPANIES' BOOKS 239 LSDGEIi Address Shareholaeis^ Cash Account. Dr, Or, Date. Eirtry, Amount payable. Date. Entry. Cash paid. ANP ORDrXARY SHARES TOGKTOER Address Shares acquired. Date, • 1 S. 1 Preference. Ordinary. Numbered Shares acquireSTOCK COMPANIES* BOOKS 241 S3 O I I I g 2 •*3 e^ •g O O I- i <=> s ^ o 2 2 S c «5 «^ *o -> 6 I 2 § •s .a eo i^(?r7n of Allotment Letter. THE NATIONAL REALISATION COMPANY, LIMITED Na Sir, Allotment Letter 6 NoETH St. David Street, Edinbueoh. I Stamp I , We beg to inform you that, in pursuance of your apphcation, the directors have allotted to you shares of ^^^ ^^ this company, in terms of the prospectus We shall be glad, therefore, if you wiU kindly pay the sum ^l ^ » ^i°g per share, the amount due on allotment, on or before the instant, to the company's bankers, as under. Your obedient Servants, Lisle and Middleton, To John Smith, Esq., Secretaries. 16 Ross Terrace, Glasgow. (This portion to be retained by the bankers.) THE NATIONAL REALISATION COMPANY, LIMITED Banker's Receipt for Allotment Money (being per share called up). Edinburgh. Received of John Smith, Esq., the sum of being per share due on allotment of ordinary shares of. each in the above company! For the Bank of Scotland, Cashier. (This portion, when receipted by the bankers, must be preserved by the shareholder, to be exchanged for the share certificate in due course.) R 242 ACCOUNTING IN THEORY AND PRACTICE Form of Letter of Regret, THE NATIONAL REALISATION COMPANY, LIMITED No. 6 North St. David Stbkbt, Edikburoh. Sib, We regret to inform you that the directors are unable to allot you any ordinary shares of this company, in compliance with your application for shares of the company. ,. -j We enclose cheque for £ , bemg the amount paid by you on the above-mentioned application, and shall be glad if you will sign the form of receipt attached to the cheque sent herewith, and present the same for payment through your bankers. We are. Sir, Your obedient Servants, Lisle and Middleton, Secretaries. To William Robertson, Esq., 3 High Street, Leith. THE NATIONAL REALISATION COMPANY, LIMITED No To The Bank of Scotland, Pay to William Robertson, Esq., or order, the receipt below being signed, the sum of For The National Realisation Co., Limited. Director. Lisle and Middleton, Secretaries, Receipt, Received from The National Realisation Co., Limited, the g^m of , being the amount deposited by me on application for shares in the same. Id. Stamp. JOINT-STOCK COMPANIES* BOOKS 243 8 pq A ■4.3 OQ u « d q> o •5 a o *« a a* £ 1 M OB s Form of Call Letter, THE NATIONAL REALISATION COMPANY, LIMITED Notice of First Call of per Share, Ordinary Shares (making per share called up). No Sir, 5 North St. David Street, Edinburgh. We beg to give you notice that the first call of per share has this day been made by the board, in accordance with the terms of the prospectus. On the ordinary shares held by you in this company, the call amounts to This amount should be remitted to the company's bankers, the Bank of Scotland, on or before the We are. Sir, Your obedient Servants, Lisle and Middleton, Secretaries, To John Smith, Esq., 16 Ross Terrace, Glasgow. (This portion to be retained by the bankers.) THE NATIONAL REALISATION COMPANY, LIMITED No Banker's Receipt for First Call of per Share on Ordinary Shares, payable (making per share called up). Received the day of from J. Smith, Esq., the sum of , being first call of per share, due , on shares in the above company. For the Bank of Scotland, Cashier, (This portion when receipted by the bankers must be pre- served by the shareholder, to be exchanged in due course for the share certificate.) ili II 244 ACCOUNTING IN THEORY AND PRACTICE COMPANIES 245 Sxerdses. 1. A private manufacturing corporation, with the view of being floated, desires a certificate of its average annual profits for three years ; after charging up all costs, expenses, and depreciation, and an allowance for bad debts, it is found that the profits for the first year were £5000, for the second year £6000, plus £2000 profit on sale of investments, and for the third year £7000, plus £3000 profit on the sale of real estate. Give the annual average profit to be certified. 2. From the following particulars prepare the Balance Sheet of the Scottish Union Bank as at Slst December, and the Profit and Loss Account for the year ended at that date. Capital Reserves Notes issued Customers' credit balances Unpaid dividends Gross profits Bad debts . Expenses . Interim dividend paid Balance of profit brought forward Cash in hand Cash at call Investments Stamps in hand Premises Customers' debit balances £114,430 146,210 89,700 897,530 240 82,490 £3,000 11,500 6,720 1,660 88,135 44,230 828,465 505 37,260 762,355 £1,231,160 £1,231,160 3. The Balance Sheet of a limited company was as under : — Liabilities, Capital issued, 16,000 shares of £10 each Less calls in arrear . Assets, Creditors £150,000 7,500 £142,500 17,800 £160,300 Expenditure on Capital Account . Book debts . Stock .... Cash .... Profit and Loss Account £74,800 32,100 19,900 5,700 27,800 £160,300 The company obtained the consent of the court to a reduction of its capital by making each £10 share into a £5 share in order that the debit on its Profit and Loss Account might be written off, and the Expenditure on Capital Account reduced. Prepare revised Balance Sheet, giving effect to the reduction. 4. The Balance Sheet of a joint-stock company as at 1st January was as follows : — Liabilities. jssets. Creditors, open accounts Bills payable . Capital Profit and Loss Account £3,200 6,000 40,000 6,100 £55,300 Land and buildings Plant and machinery Horses and waggons Patents and goodwill Goods on hand Accounts receivable Cash in bank £10,000 17,000 3,000 4,100 9,800 7,000 4,400 £55,300 A year later, on 31st December, after an audit of the books and accounts, the Balance Sheet was as follows :— Lia^ities, jgsets. Creditors, open accounts . Mortgage s^qOO S^fi? AT \ ' ' • 40,000 rront and Loss Account : — Balance last year . £6,100 Profit this year . . 4,680 10,780 £3,400 ; Land and buildings . K AAA pjf^jji; j^jj^ machinery : — Balance, 1st Jan. £17,000 Less depreciation 1,700 Horses and waggons : — Balance, Ist Jan. £3,000 Less depreciation 450 Patents and goodwill Goods on hand . Accounts receivable . Agency investments . Cash in bank . £59,180 £10,400 15,300 2,550 4,100 13,000 G,600 3,000 4,230 £59,180 I II 246 ACCOUNTING IN THEORY AND PRACTICE \\S From the foregoing it will be seen that for the year a net profit of £4680 has been earned, while the accounts receivable are smaller, and the cash balance on hand is less than at the beginning of the year, though no dividend has in the meantime been paid. Prepare statement showing what has become of the profits earned. 5. The directors of a manufacturing company, before the closing and auditing of the books for the half-year ending 3l8t December, declare out of the net earnings of the company a dividend for the half-year of 4 per cent per annum on the preferred stock of £40,000, and of 3 per cent per annum on the ordinary stock of £40,000. There has been brought forward from the last half-year an undivided balance of profit of £1600, and after the audit of the books the Trial Balance is found to be as follows : — Trial Balance as at 31st December. Preterred stock Ordinary stock Sales .... Bills payable Accounts payable . . Profit and Loss Account Property and buildings . Plant and machinery Patents and goodwill Stock on hand, Ist July Purchases Wages .... Coal ... . Salaries, general Do. management . Insurance Repairs Discount and allowances Freight .... Discount and interest . Cash in bank Investments . Miscellaneous expenses . Book debts . £40,000 40,000 87,670 10,400 4,000 1,600 £13,000 16,000 32,000 11,600 83,000 35,200 2,400 4,400 2,000 350 400 2,500 600 300 8,200 6,200 1,720 18,800 £183,670 £183,670 The stock on hand at 31st December is £10,600. Prepare Profit and Loss Account and Balance Sheet from the above, giving effect in the accounts to depreciation at COMPANIES 247 the rate of 6 per cent per annum on plant and machinery, and an allowance of 5 per cent on book debts to provide for bad accounts ; also create a liability in the Balance Sheet for the dividends declared as above stated. 6. From the following particulars prepare Trading and Profit and Loss Accounts for the year, and Balance Sheet as at 31st December, of Hugh Rose and Co., Limited. Tkial Balance Capital . Sundry creditors . Bills payable Profit and Loss, balance from previous year . Interim dividend paid Cash on deposit . Cash at bank Cash in hand Land and buildings Fixtures and furniture Sundry debtors Fire insurances Goodwill Stock at beginning of year Purchases Sales . Discounts obtained Rent Rates and taxes Gas, electric light, and Wages . Commissions Advertising . Price lists, printing and postages Carriage, and packing material General trade expenses Interest .... Discounts allowed Annual painting of premises Bad debts .... Preliminary expenses . Salaries .... water £1,500 6,000 200 100 12,000 700 3,250 £10,000 15,000 2,000 1,000 a 200 3,000 10,000 60,000 80,000 2,000 3,000 500 600 4,500 1,500 900 1,600 1,500 400 500 80 70 200 1,000 700 £111,500 £111,500 _0 The stock on hand at the close of the year was valued at £9000. Write off £500 from preliminary expenses, and reserve £50 of fire insurance premiums paid in advance. 1 248 ACCOUNTING IN THEORY AND PRACTICE The conversion of a Private Firm into a Joint-Stock Company, When a private firm is converted into a joint-stock com- pany it is usual to introduce a new set of books altogether, but it is sometimes more convenient for the new company to continue to use the books of the old firm. The method of treating the accounts of a private firm when it is con- verted into a joint-stock company, and where it is desired to continue the use of the books of the old firm will be seen from the following example : — The firm of Eoss & Carr, Iron Merchants, of which W. Eoss and A. Carr are the sole partners, is registered as a limited liability company. The new company take over the whole assets and liabilities of the old firm as at Ist January. The following is the Balance Sheet of the old firm: — EOSS & CAEE Balance Sheet as at 31st December. ki Liabilities. Assets, Creditors* Accounts Bills payable . Partners' capital : — W. Ross . A. Carr . £7,000 2,000 £9,000 . £11,000 6,000 17,000 £26,000 Customers' Accounts Goods Warehouse Bank of Scotland . £8,000 14,000 . 3,000 . 1,000 £2«.000 f The new firm is to have a capital of £50,000, divided into 50,000 shares of £1 each. It is proposed to issue at present only £30,000. The amount payable to the vendors is £20,000, of which £15,000 is payable in cash and £5000 in 5000 shares of £1 each, to be held as fullv paid. The remainder of the capital issued, £25,000, is fully subscribed. ^ COMPANIES 249 It is required to show the entries which it is necessary to make in the books of the old firm on the footing that the company is to use these books. It is evident that since £20,000 is the purchase price, and as the partners' capital is only £17,000, that £3000 is the amount paid for goodwill, and accordingly an account for goodwill must be raised. If the partners share the profits of the old firm in the proportion of two-thirds to W. Eoss and one- third to^A. Carr, then £2000 of the goodwill must be credited to W. Eoss, and £1000 of the goodwill to A. Carr. On the further assumption that the shares are to be allotted to the old partners in equal proportions, the necessary Journal entries in the old books of the firm would be as follows : — Journal Dr. Dr. Goodwill To W. Ross . ,, A. Carr . W. Ross A. Carr . Sundry shareholders ToCapiul . . . . If the cash paid by the shareholders on their shares is paid through the Bank of Scotland, the following entry would require to be made :•— Bank of Scotland . .Dr. To sundry shareholders . If the partners of the old firm are Mttled with by cheque on the Bank of Scotland, the entry would be :— W. Rosa. . . , Dr. A. Carr .... To Bank of ScotUnd £3,000 2,500 2,500 25,000 25,000 II 10,500 4,500 £2,000 1,000 30,000 25,000 15,000 The partners' accounts, after these transactions had been carried out, would appear as follows : — JF. Boss, Capital Account. Dec. 31. To Capital (new company) . £2,500 Bank of Scot- land . . 10,500 II £13,000 Dec. 31. By Balance ,, Goodwill £11,000 2,000 £13,000 250 ACCOUNTING IN THEORY AND PRACTICE A, Carr, Capital Account, Dec. 31. To Capital (new company) . Bank of Scot- land . >> £2500 4500 £7000 Dec. 31. By Balance „ Goodwill £6000 1000 £7000 If the books of the old firm were not continued by the new company the closing entries to be made in the old books would be as follows : — Ross, Carr, k Co., Limited . . Dr. £29,000 To Customers .... £8,000 ,, ijrOOClS ..... 14,000 ,, Warehouse .... 3,000 ,, Bank of Scotland . 1,000 C , , W. Ross (share of goodwill) 2,000 ,, A. Carr (share of goodwill) 1,000 Creditors Dr. 7,000 Bills payable . . . . ,, 2,000 W. Ross (shares; , 2,500 W.Ross (cash) . . . . ,, 10,500 A. Carr (shares) . . . . , , 2,500 A. Carr (cash) . . . . ,, 4,500 To Ross, Carr, k Co., Limited 29,000 I The opening entries in the books of Boss, Carr, and Co., Limited, would be as follows : — Customers . (}oods . Warehouse . Bank of Scotland Goodwill To Ross k Carr Ross k Carr To Creditors . ,, Bills payable „ Capital . .. Bank of Scotland Dr. II Dr £8,000 14,000 3,000 1,000 8,000 29,000 £29,000 7,000 2,000 5,000 15,000 lb Exercises. 1. Tod and Co. dispose of their business to a company for £50,000 upon the following terms, viz, — £10,000 in cash. £40,000 in fully paid shares of £1 each. Hi mi COMPANIES 251 The assets taken over by the company consist of: — Stock-in-trade . Book debts Fixtures, fittings, and utensils Plant .... £30,000 8,000 1,000 1,500 Show the entries to be made in the books of the com- pany to record these transactions. 2. A private firm having assets consisting of land and buildings, £10,000 ; plant and machinery, £15,000 ; book debts, £7000 ; stock on hand, £8000 ; and lia- bilities consisting of bills payable, £3000 ; transfers its entire business on 1st January to a joint -stock company for £15,000 in debentures, £15,000 in preference shares, and £15,000 in ordinary shares. Show the closing entries and Ledger Accounts in the books of the old firm, and the opening entries in the books of the joint-stock company. 3. A company is incorporated to purchase the three concerns. A, B, and C, doing the same class of business. The assets, the liabilities, and the average annual net profits of each concern for the past five years are as follows : — Assets as valued Liabilities . . . . Annual net profits, average, five years . A £20,000 6,000 2,000 B £30,000 10,000 3,000 c £40,000 15,000 1,000 It is required to know what amount of stock of the new company should be allotted to each concern as equit- able compensation for net assets and goodwill, and the matter is referred to you for report What should be the amount of the capital of the new company, and how should it be apportioned to A, B, and C? 4. The Eiverside Gas Company, Limited, is formed to take over as a going concern the assets and liabilities of a private firm of gas manufacturers. The capital of the company is £21,000 in 21,000 shares of £1 each. A, B, r I I 252 ACCOUNTING IN THEORY AND PRACTICE C, D, E, F, and G take 3000 shares each, and pay them fully up. The company pays £13,000 to the old firm in cash, and takes over a heritable bond for £3000, which is the only liability of the old finn. On making an inventory of the property for the purpose of distribution to proper accounts, the following values, exclusive of goodwill, are put upon the assets : — Land and buildings .... Coal-gas plant, machinery, and fittings Water-gas plant, machinery, and fittings Mains ...... Meters ...... Supplies ...... Office furniture and fixtures £5,000 2,200 1,800 G,000 300 700 150 £16,150 Frame the necessary entries to open the company's books, and prepare a Balance Sheet, showing how the com- pany stands after giving effect to the above transactions. MANUFACTURERS' ACCOUNTS The accounts of manufacturers may be treated in various ways, according to their special requirements. The following transactions are supposed to be the transactions of a manufacturer and trader who not only manufactures goods with the view of selling them, but also purchases finished goods, which he sells along with the goods of his own manufacture. There are three different methods shown in which the transactions may be treated, and the method to be adopted in any particular case will depend upon the nature of the business and the requirements of the manufacturer. The distinction between the three methods will be best appreciated after they have been worked out in detaiL MANUFACTURERS' ACCOUNTS 253 Manufacturer's Accounts Tra'nsactions for the Year, Jan. 1. Value of stock on hand at beginning of Raw material .... Goods in process of manufacture Finished goods Dec. 31. Purchases during year : Raw material .... Finished goods ^ages \ Sales • . . Trading price of goods manufactured during the year .... Value of stock on hand at end of year : Raw material Goods in process of manufacture Finished goods year : — £800 200 1,000 4,500 1,500 5,000 15,300 11,600 700 100 900 Dr. First Method. — Manufactured Goods and Finished Goods purchased kept in one Account By the first method the Trading Account is shown for the year, and the result of the transactions is seen to be a profit of £4000, but no attempt is made to distinguish the amount of profit made from manufacture and from the purchase and sale of finished goods. Only one account is kept, namely the Trading Account, as under : Trading AccomUfar Year. J*n. 1. To Stock on hand at be- ginning of year : — Raw material Goods in process of manufacture Finished goods . Cr. Dec 31. If Parchases during year : — Raw material Finished goods „ Wages . „ Gross profit, carried to Profit and Loss Account . . £800 200 1,000 £2,000 4,500 1,500 5,000 4,000 £17,000 Dec. 31. By Sales . . . £15^300 ,, Stock on hand at end of year : — Raw material £700 Goods in pro- cess of manu- facture . 100 Finished goods 900 1,700 £17,000 254 A ceo UNTING IN THEOR Y AND PR A CTICE MANUFACTURERS' ACCOUNTS 255 Second Method. — Showing the Cost of the Goods Manufactured By the second method a Manufacturing Cost Account is kept, by means of which the cost of the goods actually manufactured during the year is ascertamed, and this is debited to a separate Trading Account, which shows the profit upon the goods manufactured and purchased. This method is preferable to the first, because by it the cost of manufacturing the goods is ascertained, and it is useful to compare the cost of goods manufactured in any one year with that of other years. Manufacturing Cost Account Dr. Cr. Jan. 1. To Stock on hand at beginning of year : — Raw material . . £800 Goods in process of manufacture. 200 Dec 31. ,, Purchases— Raw material „ Wages . £1,000 . 4,500 . 6,000 £10,500 Deo. 31. By Stock on hand at end of year : — lUw material Goods in process of manufacture . ,, Trading Account, for cost of goods manu- factured during year £700 100 £800 9,700 £10,500 Trading Account. Jan. 1. To Stock of finished goods at beginning of year £1,000 Dec. 31. „ Manufacturing Cost Account, for cost of goods manu- factured during year . . • 9,700 „ Purchases, finisheii goods . ... 1,500 „ Gross profit, carried to Profit and Loss Account . . . 4,000 £16,200 Dec. 31. By Sales . . £15,300 ,, Stock of finished goods on hand at end of year . 900 £16,200 Third Method. — Showing thb Profit on Manufacturing AND Profit on Trading separately The third method is the most satisfactory, as by it the profit from the manufacture of the goods is ascertained. This is accomplished by crediting the goods manufactured during the year at the ordinary trading prices at which they could be purchased from other manufacturers to the Manufacturing Account, and debiting this sum to the Trad- ing Account. The Manufacturing Account thus shows the profit on the manufacturing department, and the Trading Account the profit on trading. The manufactured goods are charged at the same price as the finished goods could be purchased. On the assumption that the trade price of the goods manufactured during the year is £11,600, it will be seen from the Manufacturing Account that the profit on manufacturing is £1900, and that the profit from trade is £2100, making, as before, a total gross profit of £4000. Manufacturing Account. Dr. Jan. 1. To Stock on hand at beginning of year : — Raw material . Goods in process of manufacture . Dec 31. ,, Purchases — Raw material Wages . £800 200 £1,000 •> •I 4,500 5,000 £10,500 Profit and Loss Ac- count, for profit on manufacturing de- partment 1,900 £12,400 Cr. Dec. 31. By Trading Account, for trade price of goods manufactured dur- ing the year. . £11,600 ,, Stock on hand at end of year : — Raw material £700 Goods in pro- cess of manu- facture . . 100 800 £12,400 256 ACCOUNTING IN THEORY AND PRACTICE MANUFACTURERS' ACCOUNTS 257 Abstract of Cost Accounts for Year \ Number of Contract. Balance exi)ended as at beginning of Year of unsettled Contracts. Wagei. Stores. Material Plant Special outlay. Expense*. 34 35 36 37 General £ «. d. 50 10 140 £ 5. d. 120 350 180 70 4280 £ <. d. £ 5. d. 100 320 150 60 3970 £ «. d. 1 £ 9. d. £ «. d. 200 1 5000 1 4600 1 1 1 Trading Account. Jan. 1. To Stock of finished goods at beginning of year £1,000 Dec. 31. ,, Manufacturing Ac- count, for trade price of goods manu- factured during year 11,600 „ Purchases of finished goods during year . 1,500 ... Profit and Loss Ac- count, for profit on trade during year . 2,100 £16,200 Dec. 31. By Sales . . . £15 300 ,, Stock of finished goods on hand at end of year . . 900 £16,200 Abstract of Cost Accounts for Tear. There is submitted an Abstract of Cost Accounts for year with the above transactions filled in, although the form is general and of wider application, so that all the columns are not used up by these somewhat restricted illustrations. The uses, however, of these other columns will be readily understood from their headings. 1 1 Balance 1 Profit. TotaL Contract Price received. Stores sold or returned. Plant sold or returned. Loss. expended as at close of year of unsettled Contracts. Total. £ 60 s. d. £ 330 8. d. £ 8. d. 330 £ 5. d. £ 5. d. £ «. d. £ 5. d. £ 330 5. d. 170 850 850 850 70 400 400 400 30 160 130 30 160 1570 9,960 9,890 70 9,960 1900 11,700 11,600 100 11,700 Exercises, 1. W. Allan is a wholesale clothing manufacturer. On Ist January his stock was £7000. During the half-year ended 30th June his transactions were: — Purchases Sales ...... Wages (making) .... Wages (cutting-foreman and warehouse) Salesman and office expenses . Rent, rates, and insurance Travelling and commission . Advertising and other trade expenses Discounts and bad debts Bank interest and charges Interest paid on loan Stock on hand at end of half year . Prepare Trading and Profit and Loss these figures. 2. From the following particulars of the business of W. S. Black prepare Trading Account and Profit and Loss Account for the year, and Balance Sheet as at the close of the year. 8 £8,000 13,000 2,400 300 500 100 310 200 350 50 50 8,000 Accounts from 258 ACCOUNTING IN THEORY AND PRACTICE Trial Balance as at Slst December. Stock at beginning of year Rent, rates, taxes, etc. Oeneral expenses Sales Parchases Capital £7000 Less Drawings . . . 1000 Trade creditors Petty cash expended Petty cash on hand Bills receivable Bills payable Bank Wages and salaries Carriages Discount Bad debts Customers Stock at end of year, £2500. £3,000 . , 600 800 £30,000 25,000 6,000 3,000 98 5 2,000 1,000 1,200 1,300 300 1,100 2,000 150 7,047 £42,000 £42,000 s 3. From the following Trial Balance of the books of John Dick as at 31st December prepare Trading Account, Profit and Loss Account, and Balance Sheet John Dick, capital John Dick, drawings Stock-in-trade, 1st January Purchases Wages (manufacturing) Bills receivable Bills payable Trade creditors Advances on consignments Bank balance Goods sold . Consignments Fire insurance Book debts . Reserve and Contingency Fund Machinery and plant Discount Reut, rates, and taxes . Bad debts Trade expenses £18,000 £1,800 12,500 41,750 7,890 1,450 7,900 6,225 2,400 3,710 53,100 3,100 60 11,100 850 3,100 310 700 660 345 £88,475 £88,475 | Stock-in-trade at 31st December, £16,400. MANUFACTURERS' ACCOUNTS 259 Allow for depreciation on machinery and plant at the rate of 5 per cent, and include wages outstanding, £20, and rent outstanding, £30. 4. The Trial Balance of a manufacturing firm, taken at 31st December, was as follows : — L^ Capital, A . . Do. B . Plant and machinery . Purchases Sales .... Stock on hand at 1st January Wages .... Salaries Travelling exi)enses Interest Stationery and printing Rents ana taxes . Discounts and allowances Fuel .... Insurance Freight General expenses . Bank .... Creditors Accounts receivable Rent of steam-power Cash on hand Loan Account . . £8,000 4,000 £7,000 7,600 19,000 3,000 4,800 1,200 500 120 240 700 250 600 230 300 120 1,000 800 5,000 300 40 1,400 £33,100 £33,100 The stock on hand at 31st December amounted to £5000 ; each partner is to be credited with 5 per cent on his capital for one year before profits are ascertained; 5 per cent to be written off book debts for discount; 10 per cent to be written off machinery and plant for depre- ciation ; unexpired insurance to the extent of £40 to be taken into account ; net profit to be divided two-thirds to A and one-third to B. Draft Journal entries for closing the books, and prepare Trading Account and Profit and°Loss Account, together with final Balance Sheet. 5. From the following particulars of the business of Jamieson & Robb, Timber Merchants and Wood Turners, prepare Trading and Profit and Loss Accounts, and Balance Sheet as at the close of the year. 26o ACCOUNTING IN THEORY AND PRACTICE Trial Balance as at 31st December. \ J. Jamieson, Capital Account R. Robb, Capital Account Sales Stock at 1st January Purchases (timber) Bills payable Debtors Creditors Carriage, cartage, and horse expenses Repairs and maintenance Coal .... Gas and water Oil, grease, and waste . Feu -duty Rates, taxes, and insurance Bank interest Discounts and allowances Bad debts ... Buildings, fixed machinery, and plant Horses, carts, harness, etc. . Loose tools, utensils, and furniture Wages . Salaries Incidental expenses Partners' salaries . Cash at bank Cash in hand Bills receivable £2,500 8,000 4,200 600 100 70 20 40 50 70 20 200 60 4,000 400 150 1,000 400 100 300 800 20 1,000 £5,000 4,000 10,000 3,000 2,000 £24,000 I £24,000 Stock at 31st December, £3000. Make provision for the following : — Depreciation on buildings, etc., £200. Accruing incidental expenses, £50. Discount 5 per cent on debtors* balances. Loss on debtors' balances, £40. The net profit is divisible between the partners in pro- portion to their capital at Ist January. 6. Prepare Profit and Loss Account and Balance Sheet from the following Trial Balance, as at the 31st of December, of the business of J. Purves, Tobacco Manufacturer : J. Purves, capital . Sales .... Tobacco purchased Loan on mortgage . Machinery and plant Land and buildings Carry forward £800 2,000 1,500 2,000 £4,500 10,000 1,000 £6,300 £15,500 li COST ACCOUNTS Brought forward Creditors Wages .... Customers Boxes, labels, etc., for year Rates and taxes Bills receivable Insurance Carriage .... Petty cash and postages . Stock at beginning of year Cash at bank and in hand £6,300 5,000 1,000 500 40 500 10 150 100 2,000 1,400 £17,000 26] £15,500 1,500 £17,000 Charge depreciation on land and buildings at 3 per cent, and on machinery and plant at 5 per cent. Provide for interest on loan (one year) at 5 per cent, and a^ a provision for bad debts and discounts reserve 6 per cent on the balance due by customers— £1000. The value of stock at the end of year was £2040, and there was £5 of stamps on hand COST ACCOUNTS A COST ACCOUNT IS A STATEMENT SHOWING ON THE DEBIT SIDE THE ACTUAL COST OF PRODUCING A CERTAIN ARTICLE OR SET OF ARTICLES, AND ON THE CREDIT SIDE THE ACTUAL PRICE RECEIVED FOR THE ARTICLE OR ARTICLES. The ideal Cost Account is one which is kept as a part of the double-entry book-keeping. Under such a perfect system the Manufacturing or Trading Account is done away with, and its place is taken by as many departmental or separate cost accounts as there are departments or different articles manufactured. An ESTIMATED COST ACCOUNT IS A STATEMENT SHOWING ON THE DEBIT SIDE THE ESTIMATED COST OF PRODUCING A CERTAIN ARTICLE OR SET OF ARTICLES OF THE SAME KIND, AND ON THE CREDIT SIDE THE ESTIMATED PRICE TO BE RECEIVED FOR THE ARTICLE OR ARTICLES WHEN COMPLETED An Estmiated Cost Account is not of course a Ledger Account, and never forms part of the book-keeping of a ./" 262 ACCOUNTING IN THEORY AND PRACTICE COST ACCOUNTS 263 1' concern, but is prepared with the view of an estimate being given or a price quoted for the production of certain articles or the doing of certain work. A Cost Account is prepared from the items which ordinarily appear or which may be entered in the Trading and Profit and Loss Accounts. It enables a manufacturer to see what is the cost of the material and labour expended and the profit he is earning upon each article or contract. Such Cost Accounts enable the manufacturer to see what is the average cost of labour and material, and are invaluable in preparing estimates. Without their aid a manufacturer is groping in the dark when he tries to estimate, but with their assistance he knows exactly what price he can quote for any work so as to make a certain profit. With the assistance of such Cost Accounts estimates may be prepared with absolute certainty. With the valuable knowledge ob- tained of the expenses of similar work the contractor can with confidence venture to quote for new contracts. All that is necessary is for the contractor to turn up his old Cost Accounts, and, having made the necessary alterations in consequence of the change in the cost of material or in the rates of wages, he can offer for the work, knowing exactly what profit it will yield him. Each business requires to be specially considered in devising a set of Cost Accounts, and no set of forms of Cost Accounts is suitable for every business. Thus a colliery Cost Account is based on the cost of a ton of coal either brought to the surface or sold. A brickwork and slate quarry Cost Account may be based on the number of bricks and slates produced, if these are all of the same size, or by the ton. In such a business as a printing office, where each job is, as a rule, separately " costed " with the view of the Day Book being written up, by having a Day Book with columns for the items of cost, such as paper, ink, other material, wages, other expenses, and selling price, the cost may be incorporated in the system of book-keeping by totalling these items of cost at the end of each month and creditin<» the accounts representing these items, and debiting Cost Account with the total cost. Thus the Wages Account would be credited with the total wages for each month, and the Cost Account debited. There might at the end of the year be a deficiency in the Wages Account, which would represent wages not chargeable to any particular job ; but taking this into account, the amount of the difference would show the degree of accuracy with which the allocations had been made. If the departments in the printing office were kept separate, it would be better to have a separate Cost Day Book for each of the separate departments. In considering the best form of Cost Accounts to adopt it is necessary to consider what the cost consists of. Prime cost, as its name implies, is the first cost, and may be defined as the sum expended in purchasing a com- plete article which is sold as purchased, or the amount expended upon raw material, together with the wages expended in producing the article. The cost is the prime cost, together with all other direct expenses of production or indirect expenses of distribution. The net profit is the difference between the selling price and the cost. Direct expenses other than material and wages are those expenses which may be charged directly to a particular job or department of a business, such as wages of foreman, outlay for fuel, light and heat, rent and taxes of factory, insurance, and depreciation where it can be separately charged. These direct expenses are, it will be observed, largely the expenses of production. Indirect expenses are those which cannot be directly charged to a particular piece of work or department. They are, as a rule, expenses of distribution, of financing the business, and of general control and management. They include office salaries and expenses, provision for bad debts, interest on loans and capital. The various items of cost may be grouped shortly as follows : — lUviis of Cost. 1. Material (including carriage inwards). 2. Labour. 3. Direct and departmental expenses of production : — i 264 ACCOUNTING IN THEORY AND PRACTICE COST ACCOUNTS 265 Wages of superintendence. Buildings and plant : — Light. Heat. Rent, taxes, and insurance. Depreciation and upkeep. 4. Indirect expenses of distribution and general manage- ment : — *=» Salaries. OflSce expenses. Interest and finance. Bad debts. Material, Goods purchased specially for any particular job are charged at once through the Invoice Book to that job Other purchases of raw material are charged to the Stores Account or to the various expenses accounts. Goods given out of the stores are credited to the Stores Account, and debited to the particular job. Lahour. As often as the wages sheets are prepared an analysis 18 made of the total amount paid in wages, classified accord- ing to the work upon which each workman has been engaged The Wages Account is debited with the wages paid! and credited with the wages incurred for each different iob- the Cost Account of each job being debited. Bireet and Indirect Expenses. These, so far as not directly chargeable to each job are charged as a percentage on the wages charged to the 'job or as a percentage on the wages and material, whichever may be most suitable for the special circumstances of the business^ The percentage is debited to the job, and credited to the Direct and Indirect Expenses Account. In a purely distributing business the expenses are best reckoned as a percentage of the purchase price. In a manufacturiua concern usually the percentage should be upon the wages. In colliery companies, for example, the expenses are best treated by reckoning so much per ton of coal raised or sold. When the account of each completed job is balanced off, the balance is carried to the Profit and Loss Account, and is the profit or loss upon that job. Engineers' Accounts. In a large engineering factory, where the raw material is manufactured into various kinds of engines or parts of engines, it is evident that a thorough system of Cost Accounts is essential for the proper management of the business. Only by knowing the exact cost which has been expended in making an engine of a certain pattern can an estimate with safety be prepared for manufacturing another engine of the same pattern. To understand the system of keeping the accounts of a large engineering factory it is necessary first to consider briefly the work to be done. Suppose the factory is an extensive engineering factory, where the raw material is received and made into locomotives, marine and other engines, boilers, cranes, steam-hammers, and such like. To arrive at the proper method of treating the accounts of such an establishment, it is necessary to thoroughly understand the various classes of expenditure. For the purposes of accounting such engineering expenditure may be divided into the following three classes : — L Direct charges of production, called prime cost. This consists of all expenditure for raw material, wages, and other expenses directly chargeable to the manufacture of the article. This expenditure is in direct proportion to the amount of the busi- ness done or to the turnover. II. Expenditure incurred in the different depart- ments OR SHOPS, CALLED SHOP ESTABLISHMENT CHARGES. The expenditure under this head con- sists of the wages of the foremen, general labourers, tool -makers, watchmen, etc., and expenditure on 266 ACCOUNTING IN THEORY AND PRACTICE COST ACCOUNTS 267 II II power and general stores. This expenditure is less dependent upon the Yolume of work done than that included under prime cost. III. General establishment expenses, including office expenses for clerks, salaries, stationery, etc. The salaries of the managers and chief officials, rents, rates, taxes, insurance, lighting and heating, wages of store-keeper, gate-keeper, time-keeper, messengers, upkeep and repairs of buildings and plant, trade expenses, travellers' salaries and commissions, and advertising. The expenditure under the third head is more general and less direct than under either of the other heads, and does not depend so directly upon the volume of the work done. The turnover of the business might be doubled without any material increase in the expenditure in this department. The expenditure under the third head could not be charged to any one of the departments, but embraces them all. The ratio of the expenditure in the three branches is constantly changing, and this necessitates the keeping of the three branches separate in making up estimates. The most important head in estimating is, of course, the prime cost. The prime cost having been calculated, the shop and general establishment charges forming the indirect expenses of production are added, to arrive at the total cost. In fixing the ratio of the indirect expenses of pro- duction which must be added to the prime cost, it is neces- sary to go carefully into the various ratios of indirect expenditure in the various shops or departments, and use these ratios which belong to the shops or departments con- cerned in the production. To take the general ratio of the indirect expenses would not in most cases be sufficiently accurate. Provision is sometimes made for the shop establishment charges by finding the ratio which the expenditure in- curred in each of the different shops bears to the wages of each shop, and provision may be made for the general establishment charges by finding the ratio which the general establishment charges bear to the whole wages paid. Contracts not completed at date of Balance. Care must be taken in ascertaining the profit to the date of balance on contracts not completed that future profit is not anticipated. Thus suppose a contract is for £5000, and it is estimated that the total cost of completing the work will be £4000, thus leaving a profit of £1000, or 25 per cent on the cost; then if at the date of balance £3600 has been expended on the work, the correct profit to assume up to the date of balance is £900, being 25 per cent on the outlay to date, as follows : — Contract No. Dec. 31. To Material, labour, | Dec. 1. By Cash to account £2500 etc. . . . £3600 ,, Profit and Loss 900 £4500 Jan. 1. To Balance . . £2000 June 3. ,, Material, labour, etc. . 400 Dec. 31. ,, Profit and Loss . 100 £2500 31. ,, Balance June 20. By Cash 2000 £4500 . £2500 £2500 By this means each year has its fair share of profit allocated to it. To ascertain the Profit on the Goods Account without actimlly taking Stock. It is sometimes advisable that the books of a concern should be framed so that the profit from the purchase and sale of goods may be ascertained weekly or monthly, and in businesses where a large stock is held it is desirable that the method adopted should be one which does not involve the taking of stock at each of the periods. The most satisfactory method by means of which the gross profit from the sale of goods may be ascertained is to have an II 268 ACCOUNTING IN THEORY AND PRACTICE extra column in the Sales Day Book, headed " Cost." As the sales take place, and are entered in the Sales Day Book, the cost is ascertained, and is also entered. Some busi- nesses are more suitable for the application of this method than others. A retaH jeweller's business, where each article as received into stock is inventoried, numbered, and has the cost price and selling price noted upon it, is very well adapted for this method, and gives very satisfactory results. It will be observed that the balance of stock is arrived at from the Goods Sold Cost Account by debiting the purchases, and crediting the goods sold at cost price each month, and it is advisable that, at all events once a year, the stock on hand should be carefully checked to see that it corresponds with the balance shown by the Goods Sold Cost Account To illustrate the method the following particulars may be taken : — Goods on hand at 1st January . Purdiases Day Book. January. To Goods purchased during month February. ., do. do. March. ,, do. do. Sales Day Book Cost of Gk)od8, January. By Goods sold during month . £1760 February. „ do. do. . 1680 March. , do. do. . 1360 £3600 £4800 £2000 1600 1400 £5000 Sales. £2200 2100 1700 £6000 The goods on hand at 31st March are valued at £3800. From the above particulars the Goods Account, if pre- pared in the ordinary way, for the quarter ending Slst March would be as follows, showing a profit of £1200 : COST ACCOUNTS 269 Goods. Jan. 1. To balance, stock on hand . £3600 Mar. 31. ,, Purchases 6000 ,, Profit and Loss 1200 C £9800 Mar. 31. By Sales . . £6000 ,, Balance, stock on hand . 3800 £9800 From the above Goods Account the cost of goods sold during the quarter can be ascertained by adding to the stock on hand at the beginning of the quarter (£3600) the purchases for the quarter (£5000), and deducting the stock on hand at the end of the quarter (£3800). This gives £4800 as the cost of the goods sold during the quarter. This result is very clearly shown when, instead of keeping one Goods Account, two Goods Accounts are kept, namely, a Goods Sold Cost Account and a Goods Sold Eealisation Account These accounts for the quarter would appear in the following form : — Goods Sold Cost Account. Jan. 1. To Balance Mar. 31. „ Purchases . £3600 5000 £8600 Mar. 31. By Balance, stock on hand . £3800 , , Goods Sold Reali- sation Account, being cost of goods sold . 4800 £8600 Goods Sold Realisation Account. Mar. 31. To Goods Sold Cost Account, for cost of goods sold . £4800 ,, Profit and Loss . 1200 Mar. 31. By Sales . . £6000 £6000 £6000 The accounts if kept monthly, would be as follows 270 ACCOUNTING IN THEORY AND PRACTICE Goods Sold Cost Account, Jan. 1. To Balance 31. ,. Purchases , .£3600 . 2000 £5600 Feb. 1. To Balance 28. „ Purchasei . £3840 . 1600 Jan. 31. By Goods Sold Reali- sation Account, being cost of goods sold this month . . £1760 „ Balance . . 3840 Mar. 1. To Balance 81. ,, Purchases £5440 . £3760 . 1400 III £5160 Goods Sold Eealisation Account Jan 31. To Goods Sold Cost Account, for cost of goods sold this month £1760 „ Profit and Loss, for gross profit for month 440 £2200 Feb. 28. To Goods Sold Cost Account, for cost of goods sold this month £1680 ., Profit and Loss, for gross profit for mouth . 420 £2100 Mar. 31. To Goods Sold Cost Account, for cost of goods sold this month £1360 ,, Profit and Loss, for gross profit for month . 340 £1700 £5600 Feb. 28. By Goods Sold Reali- sation Account, being cost of goods sold this month . £1680 „ Balance . 3760 £5440 Mar. 31. By Goods Sold Reali- sation Account, being cost of goods sold this month . . £1360 „ Balance . . 3800 £5160 Jan 31. By Sales for month . £2200 £2200 Feb. 28. By Sales for month . £2100 £2100 Mar. 31. By Sales for month . £1700 £1700 COST ACCOUNTS 271 In the foregoing example the cost of the goods sold is got from the Sales Day Book, where, as each article is sold, its cost price is entered along with the selling price. This is the most satisfactory method of achieving the result desired, but where this course is not practicable the result may be attained by knowing the percentage of the sales which has been cost in the previous year, and assuming that the same percentage will obtain in the future. Thus, referring to the example above given, the total sales for the period under consideration amount to £6000, and the profit to £1200. The ratio of the sales which is profit is therefore 20 per cent Assummg therefore that this ratio of profit is constant, the profit for a month or a week can be at once ascertained by taking 20 per cent of the sales. If the profit for the previous year had been at the rate of 20 per cent on the sales, it would be assumed that the same ratio would continue in the future, and the Goods Account for each month or week would be prepared on that assump- tion. When stock was again actually taken it would likely be found that the ratio was not actually 20 per cent of the sales, but was either more or less, and accord- ingly the stock shown in the books would be less or more than the stock as actually taken, and a correcting entry, crediting or debiting Profit and Loss with the difference, would require to be made. To find the Cost Valice of Goods destroyed hy Fire, Where a merchant's goods are wholly or partially destroyed by fire it is often necessary to ascertain the value of the goods destroyed from the Goods Account in the Ledger, where the books have been preserved. Thus suppose the Goods Account shows that the cost of the goods on hand at the beginning of the year and the pur- chases for the period up to the date of the fire was £8600, and that the cost of the goods saved, after allowing for any damage to them, was £^00, and that the sales or the credit side of the Goods Account amounted to £6000. If the average percentage of the sales which was profit for the M I 272 ACCOUNTING IN THEORY AND PRACTICE past three years was 20 per cent, then the cost of the goods sold was 80 per cent of the sales, and the claim against the fire insurance company would be as follows : — Cost of goods shown by debit side of Goods COST ACCOUNTS 273 Account Dedud — Cost of goods sold, being 80 per cent of £6000 of sales . . £4800 Goods salved .... 800 . £8600 5600 Claim against fire insurance company . £3000 Where the gross profit earned in previous yeai*s is not available as a basis, the general experience of the business, or the cost and selling price of a sufficient number of the articles, might be taken as the basis to arrive at the per- centage of the sales which represents costs. ExerciM. In a business where stock-taking is a laborious operation it is necessary to prepare a Goods Account at the end of January without actually taking stock. On 1st January the stock was £3000. During the month the purchases amounted to £4000, and the sales to £6000. Prepare a Goods Account on the basis that the gross profit on goods is at the rate of 25*25 per cent on the sales. What is the estimated value of stock at the close of the month ? The AccoutUs of Professional and other non-manufacturing and non-trading Concerns. The Profit and Loss Account for a professional and other non-manufacturing and non-trading concern does not as a rule require to be subdivided in the manner which we have found so advantageous in manufacturing and trading concerns, and one account is usually sufficient Upon the credit side appears the gross income, and upon the debit all the expenditure, charges, or loss incurred. The net profit shown should be dealt with in the portion of the account dealing with profit and loss appropriation. Eocercises. 1. The following is the Trial Balance of an accountant's business : — Trial Balance as at 31st December. Due by clients Due to clients Fees and commissions outstanding at beginning of the year .... Fees and commissions received during year Fees and commissions outstanding not included above, £700. Salaries Rent, rates, and taxes Office expenses .... Stationery .... Office furniture and fittings Capital Account , , Bank £3000 £1500 500 2000 600 90 250 60 200 1500 3400 700 £6900 £6900 Prepare Profit and Loss Account and Balance Sheet 2. John Eoberts commenced business on 1st January with the following assets and liabilities : — Cash in hand ...... Cash at bankers ..... £10,000 consols at market price of 112^ . £1000 Great Western ordinary stock at £172 Sundry debtors ..... Sundry habilities to creditors . Loan from bankers Bills payable . £50 500 . 11,250 . 1,720 600 . 3,000 . 1,000 . 1,500 During the year John Eoberts purchased a warehouse which cost £3000, and fitted the same with plant and machinery costing £2500, both of which items were paid for in cash; he purchased raw materials costing £12,000, and paid for the same, less discount at 5 per cent ; he paid wages, £15,000; clerks' salaries, £2000; sundry business expenses, £900; taxes and insurance, £175; repairs to building, £100; repairs to plant and machinery, £200. He sold goods to the amount of £32,500, and received in cash on account of same £30,000. 274 ACCOUNTING IN TiMORY AND PRACTICE One of his debtors failed, owing him £2000, on account of which he received a composition of 6 s. 8d. in the £ (which is included in the £30,000 cash received, as above stated). He drew out of the bank £1000 for his personal expenses. He sold out his consols at £114, and his Great Western stock at £175. He discharged liabilities owing on 1st January, £3000, and paid off the loan from his bankers on 30th June, with interest at 5 per cent per annum, and he met at maturity and paid his acceptances for £1500, which were current on 1st January. On 31st December he had on hand unsold goods which cost £2000, but which for his Balance Sheet he valued as worth 90 per cent of cost. Prepare a Profit and Loss Account for the year, and Balance Sheet, showing the position of affairs on 31st December. 3. From the following Trial Balance of the accounts of Messrs. Hardie & Allan prepare a Profit and Loss Account for the year, and Balance Sheet, after making the following provisions: bad debts, £150; discounts, on debtors* balances only, 5 per cent ; and trade expenses outstanding, £50. The net profit is to be divided between the partners in proportion to the capital of each. Trial Balance as at 30th June. Creditors. Bankers, overdraft . Debt on heritable property \V. Hardie, capital . T. Allan do. Credit sales Cash sales Debtors .... Cash in hand . Heritable property . Machinery and jilant Loose tools, horses, etc. . Stock, 1st July Purchases . • Carriage and freight Wages — labour Salaries and wages— office, etc £11,500 50 10,000 2,500 1,550 15,000 18,500 1,500 3,100 800 £7,500 3,000 5,000 13,000 7,000 30,500 4,000 M COST ACCOUNTS 275 Brought foruartl Rates and insurance Repairs .... Trade expenses Discounts and allowances ]tad debts liank interest and charges I Qterest on bond on property Partners' salaries £64,500 1,550 300 1,200 900 200 250 200 900 £70,000 £70,000 £70,000 The stock at 30th June amounted to £13,000. 4. Prepare a Profit and Loss Account and Balance Sheet from the following Trial Balance of Smart & Currie's books, extracted at 31st December, covering six months' operations : — year) Cash at bankers Petty cash in hand . Sales Goods on hand, Ist July Returns (customers' returns for half- Discount allowed customers Bills receivable on hand . Sundry debtors . Purchases .... Discount allowed on purchases Wages Reserre for bad and doubtful debts Reserve for discounts on book debts Sundry creditors Buildings . Patent rights . Loan on mortgage Rent, rates, and taxes Advertising Traveller's salary Carriage . Bad debts written oflf Plant and machinery Repairs Smart — Capital Account Do. Drawing Account Currie — Capital Account Do. Drawing Account Interest on loans Patent royalties received in advance Royalties on patents attributable to half-year Trade and general expenses £600 3 2,741 330 938 200 7,365 8,400 £16,000 1,404 4,000 50 100 460 430 390 100 3,000 84 390 540 197 1,970 4,500 1,200 720 120 502 6,000 3,000 500 40 £33,137 £33,137 Carry forward . £64,500 £70,000 The goods on hand at 31st December are valued at £3500. 276 ACCOUNTING IN THEORY AND PRACTICE \\ Write off 5 per cent from plant and machinery for depreciation for the half-year. No interest on capital or withdrawals is to be provided for. The profits are to be apportioned as follows : — Smart .... two-thirds. Currie .... one-third. 5. From the following Trial Balance and particulars, prepare Profit and Loss Account and Balance Sheet of Messrs. Young, Scott, & Allan, Engineers, for the year ended 31st December. Trial Balance Goodwill . Patents Patterns and drawings Plant and machinery Stock and work in progress at 1st January Cash at bank . Cash in hand . Sundry debtors Capital — Young Scott . Allan Sundry creditors Withdrawals Account— Young Scott Allan Discount .... Salaries and commissions Postages and stationery Carriage and cartage Rent, rates, and taxes Insurances Advertising Repairs and renewals Gas for lighting and power Trade expenses Purchases, materials Do. goods "Wages Sales . £200 100 110 1,500 1,400 600 40 800 100 70 60 400 60 70 150 17 25 70 85 30 2,500 4,000 3,800 £1,600 900 900 230 16 12,541 £16,187 £16,187 The plant and machinery (re-valued) amounted to £1400, and the stock to £1300, on 31st December. Make provision for discounts, £70, and write off £25 from goodwill. Credit interest on capital at 5 per cent, and debit interest on withdrawals — Young, £3 ; Scott, £2 ; and Allan, £1. I I I BRITISH CURRENCY 277 Young is entitled to half the profit, and Scott and Allan to one-fourth each. BKITISH CUEEENCY Gold. The unit of the coinage of the United Kingdom is the gold sovereign. By the Act 56, Geo. III., cap. 68 (22nd June 1816), one pound weight troy of gold is fixed in value at £46 : 14s. 6d., and must be in fineness 22 carats of fine gold and 2 carats of alloy. Until 1816 a guinea was the standard gold coin, £46 : 14s. 6d. being equal to 44j guineas. Twenty pounds troy of standard gold are coined into 934|- sovereigns. An ounce troy of standard gold is therefore coined into £3f|g, or £3:1 7s. lOjd., which is called the price of an ounce of standard gold. One ounce of pure gold on the same basis is therefore worth £4 : 4s. 1 1 Jd. The metric weight of all the British coins is given in the Coinage Act, 1870. The weight of the sovereign is 7*98805 grammes (123*27447 grains). The sovereign thus contains 7*3224 grammes (113001 grains) of fine gold. SUver. The silver coins of this country are really token money, and are not intrinsically worth their face value. Thus the silver in one shilling is not worth one-twentieth of a sovereign. The Mint regulations prescribe that sixty-six shillings shall be coined out of a pound troy of standard silver, of the fineness of eleven ounces two penny- weights of fine silver and eighteen penny- weights of aUoy in every pound weight troy; that is, sixty-six shillings are to contain 5760 grains of silver, thirty-seven fortieths fine, or 5328 grains fine. An ounce of silver coined is thus worth 5s. 6d., and a shilling weighs 87*2727 grains (5*6552 grammes). A shilling thus contains 80*727 grains, or 5*231 grammes, of fine silver. An ounce of silver uncoined is worth about 2s. 3 Jd. The Government thus make a large profit out of 278 ACCOUNTING IN THEORY AND PRACTICE the silver coinage. Leaving the Mint expenses out of account, they practically buy silver at 2s. 3^. per ounce, and sell it for 5s. 6d. ; in fact, this difference, which is termed " seigniorage," is reckoned as a fruitful source of revenue to the nation. Bronze, It is useful to remember that three pennies, five half- pennies, and ten farthings each weigh an ounce avoirdupois approximately. The halfpenny is one inch in diameter. Bronze coins consist of a mixture of copper, tin, and zinc. The penny weighs 145 '8 3 grains, or 9*45 grammes. These bronze coins are also token coins, and their value as metal bears a very small ratio to their value as coins. i Legal Tender. A tender of payment is legal if made in coins issued by the Mint, and not called in by proclamation, nor under the minimum statutory weight. Gold coins are legal tender to any amount ; silver coins to forty shillings, and bronze coins to one shilling. The tender of Bank of England notes is legal in England and Wales, except by the Bank of England itself. The Bank must pay in gold if required. INDIAN CUKKENCY According to the Indian Mint Law, the rupee must contain 165 grains of fine silver and 15 grains of alloy. Since sixty-six shillings contain 5328 grains of fine silver, a rupee, expressed in English shillings, is equivalent to 165 = 28. OJd. (nearly). This would be the value of a rupee were silver selling at 5s. 6d. per ounce. With silver at 2s. 3d. or 2s. 4d. per ounce, as at present, and the rupee at Is. 4d., it is evident that rupees are valued at more than 50 per cent over the value of the silver which they contain. INDIAN CURRENCY 279 .The report on the trade of British India with foreign countries is prepared by the Indian Statistical Bureau. The official year closes on 31st March in each year, and the statistics compiled are published as a Blue-book about the end of January in the year following. The value of the imports of India for the year 1897-98, stated in tens of rupees (Rx.) was 89,896,406, and the value of the exports Rx. 104,671,442. During the three years ending 31st March 1898, the imports and exports have been as follows : — Imports and Exports of British India In Teas of Rupees. IjfPORTS. Merchandise . Gold . Silver Total imports Exports. Foreign merchandise re-exported . Indian Merchandise . Gold .... Silver Total exports 1895-96. 1896-97. 1897-98. Rx. 69,316,395 6,029,269 8,329,716 Rx. 71,914,697 4,491,179 8,584,174 Rx. 69,420,120 7,281,222 13,195,064 Rx. 82,675,380 Rx. 84,990,050 Rx. 89,896,406 Rx. 4,717,516 109,545,624 2,503,317 1,728,984 Rx. 4,033,637 99,880,660 2,200,141 2,725,750 Rx. 3,751,172 93,786,101 2,372,733 4,761,436 Rx. 118,495,441 Rx. 108,840,188 Rx. 104,671,442 The net import of gold during the year ending 31st March 1898, got by deducting the export from the import, amounted to 732,035 ounces, and the value to Ex. 4,908,489; and of silver to 44,284,617 ounces, and the value to Rx. 8,473,480. The receipts of both were abnormally large, more especially looking to the fact of the contraction of the export trade and the impoverishment of the country by the famine. The purchases of gold and silver were largely speculative, the rise in the rate of exchange and in the value of the price of silver, which is 28o ACCOUNTING IN THEORY AND PRACTICE FRENCH CURRENCY^GERMAN CURRENCY 281 h \ shown in the table which follows, making the trade profit- able. The following table gives the fluctuations in the exchange value of the rupee during the four years ending 3l8t March 1898, as shown by the rate in Calcutta for bank bills on demand. Exchange Value of Rupee in Pence Year. Highest. Lowest. Difi'erence per cent. 1894-95 .... 1895-96. 1896-97 .... 1897-98. 13, 13-16d. 14, 13-16d. 16, 21-32d. 16, l-16d. 12, 13.32d. 13, 3-32d. 13, 25-32d. 14, 9-32d. 10-18 11-60 11-97 11-09 The last column shows that the fluctuations have been very large, but comparatively regular in extent, the average difference between the highest and lowest values in each year being slightly over 11 per cent Simultaneously with the rise in the gold value of the rupee there was a great fall in the gold price of silver, as shown below : — Bombay London 1896-97. 1897-98. Highest. Lowest. Highest. Lowest. R. 96| Slid. R.82 28, 5-16d. R.82i 28id. R.66i 23id. UNITED STATES CURRENCY The United States standard coin is an eagle, or ten- dollar piece, consisting of 258 grains, or 16-71818 grammes of gold, nine-tenths fine. A golden eagle thus contains 232-2 grains, or 15-0464 grammes, of fine gold. Since £1 = 123*27447 grains of standard gold, twenty-two twenty- fourths fine, the pure gold in £1 is equal to, expressed in dollars, 4*86656, as follows: — 123*27447 x £1 = 22 24 2^ 1. 10 "" 10 = $4-86656. Equal to 49-32 pence for one dollar. The silver dollar weighs 412*5 grains, or 26*729 grammes, of nine-tenths fine, and therefore contains 371*25 grains, or 24*0561 grammes, of fine silver. FRENCH CURRENCY By the French Mint Law 155 twenty-franc pieces are coined from one kilogramme of gold, nine-tenths fine. Since £1 contains 7*988 grammes of gold twenty -two (22\ 7*988 x^J grammes = 7*322 grammes. A franc contains in pure gold L-v^ — Q^ X r^j 1000 grammes = *29032 grammes. Divid- ing the pure gold in a sovereign by the pure gold in a franc, we find that £1 = 25*225 francs. Equal to 9}d. for one franc. The Monetary Union between France, Belgium, Switzer- land, and Italy was formed in 1865, and was joined by Greece in 1868. These countries have their gold and silver coins of the same weight and fineness. The same system is followed in Finland, Roumania, Servia, and Spain, and partially in several of the South American Republics. GERMAN CURRENCY The mark is the unit of the German monetary standard established by the law of 4th December 1871. There are gold pieces of twenty, ten, and five marks each, called respectively doppel- krone, krone, and halbe- krone. In a ten -mark piece the fine gold weighs 3*5842 grammes. it i : 282 ACCOUNTING IN THEORY AND PRACTICE The Mint par between this country and Germany is there- fore — £1 = M. 20-42945, or M. 20 = 19s. 6-95d. M. 1 = lljd. The thaler is equal to three marks. The Arithmetic of the Exchanges. The questions relating to exchange are best solved by the elementary rules of arithmetic. The following are given as examples : — Find the sterling equivalent for Fr. 1674-25 at 25-22J. We require to divide 1674*25 by 25'225. The simplest way is to multiply the divisor and dividend by 4 to simplify the division, and divide out by contracted division, as follows : — FOREIGN MONE YS 283 25-225 4 100-900 1674-25 4 6697-00 100,900)6697000-(66-3726 605400 643000 605400 37600 30270 7330 7063 267 202 65 60 Answer, £66 : 7s. 5jd. If the gold premium in Buenos Ayres is at 119*50, what discount does the paper dollar stand at ? If gold is at par, 100 $ paper = 100 $ gold. If at 119-50 premium, then 219*5 % paper = 100 $ gold. 1 » paper = 2^ = 1 $ gold, 119*5 and the discount = , = '544, Jl 9'd which is equal to 54*4 per cent. FOREIGN MONEYS I. Gold Coins. Country. Belgium France Greece Italy Switzerland Finland Roumania Servia Bulgaria Spain Gold Coins. The Latin Union II Russia Argentine Republic Austria-Hungary tt Brazil Chili, Columbia, Uruguay China Denmark . Egypt German Empire Great Britain Holland and Java II India . Japan Mexico Netherlands — see Holland. Norway and Sweden — iee Denmark. Persia .... Peru and Venezuela . Portugal .... Tunis .... Turkey (Ottoman Empire) . United States . Uruguay — see Chili. 10 Francs 10 Francs 10 Drachmai 10 Lire 10 Francs lO-Marka piece 10 Leys 10 Dinars 10 Leva Doubloon of 10 escudos . 25-Peseta piece Imperial of 15 roubles . Argentine, or S-peso piece Ducat ... 8 Florins, or gulden 10-Krone piece 10 Milreis Doubloon, or 6-peso piece 10-Krone piece 100-Piastre piece (E£) . Krone of 10 reichsmarks Sovereign of 20 shillings Ducat . 10-Florin piece Mohur of 15 rupees 20-Yen piece 10-Peso piece Toman of 200 sh&hts . 10-Sol piece . Corda of 10 milreis 10-Piastre piece Turkish pound of 100 piastres Eagle of 10 dollars Weight in Grains. Value in Sterling. 49-78 £0 7 Hi 129*43 124*46 199*10 124-44 53*85 99*57 52-28 138*35 117-70 69*14 131*18 61*40 123-27 53-92 103-71 180-00 257*21 261*12 57*90 248-91 273-70 30 09 111-36 1 1 1 7i 19 10 11 9 19 10 9 4 15 lOi 8 2 18 4 5i 9 11 Oi 1 3i 9 H 10 9 4i 16 6i 1 9 2i 2 111 2 5i 9 5 1 19 7i 2 4 4 4| 18 0| 258*00 2 1 IJ j 284 ACCOUNTING IN THEORY AND PRACTICE FOREIGN CURRENCIES 28: Conntiy. Belgium . France . Greece . Italy . Switzerland Roumania Servia Bulgaria . Spain Russia Argentine Republic Austria-Hungary Brazil Chili, Columbia, Uruguay China Denmark Egypt . Finland . German Empire Great Britain . Holland and Java . India Japan Mexico ... Netherlands— «c«Holland. Norway and Sweden — see Denmark. Persia Peru and Venezuela Portugal . Tunis ... Turkey (Ottoman Empire) United States . Uruguay — tee Chili. II. Silver Coins, silver Coins. 1 Franc of 100 centimes "^ 1 Franc of 100 centimes 1 Drachma of 100 lepta 1 Lira of 100 centesimi 1 Franc of 100 centimes 1 Ley of 100 banis 1 Dinar of 100 paras 1 Leva of 100 stotinkis ; i 5- Peseta piece \ Peseta of 100 centimes . /Rouble of 100 kopecks . (Tchetvertak, or^-rouble Peso of 100 centesimos . Florin, or gulden of 100 kreutzer Krone of 100 hellers 1 Milreis of 1000 reis . 1 Peso of 100 centavos . Tael of 10 mace, or 100 candarin, or 1000 cash 1 Krone of 100 ore 1 Piastre 1 Marka of 100 penni . 1 Reichsmark, or mark of 100 pfennige r Crown of 5 shillings i Shilling of 12 pence i Rixdaler of 2i florins . \ Florin of 100 cents Rupee of 16 annas, 64 pice, or 192 pies 1 Yen of 100 sen . 1 Peso of 100 centavos . Khran of 20 sh^his Sol of 10 dineros of 100 cents Teston of 100 reis . Piastre . 1 Piastre of 40 paras Trade dollar . Dollar of 100 cents ^-Dollar of 50 cents Weight In QrainB. Equivalent Weight of Standard Silver in Troy Ooncea. 77 2 385-8 77-2 308*6 77-1 385-8 190-5 77*2 196-8 385-8 583-3 115-7 21-6 80-0 85-7 436-4 87-3 385-8 154-3 180-0 416-0 417-8 71-0 385-8 0*145 0-782 0145 0-626 0-156 0-782 0*386 0*144 0*406 0-782 1*288 0*209 0-041 0-156 0*174 0*909 0*182 0*821 0*328 0*372 0*843 0-849 0*142 0*782 81-6 0*080 46-7 0*098 18-6 035 420 0*851 412-5 0-836 192*9 0-391 FOREIGN CURRENCIES AND THEIR TREATMENT IN HOME ACCOUNTS It is of very great importance that concerns having their head ofi&ce in this country, but which practically do all their business in foreign countries, or which have branches in foreign countries, should convert the transactions which take place in the various local currencies into pounds sterling on a correct basis, with the view of these transac- tions being recorded in the Home Book and being submitted in the annual Abstract of Accounts to the proprietors of the business. The low rate of interest obtainable in this country has induced many large corporations, such as insur- ance companies, to invest their money abroad, and it is of the utmost importance tkat sound principles should be adopted in incorporating these transactions in the Home Books. Many companies are suffering to-day from the effect of erroneous principles having been adopted as the basis of converting their transactions in foreign currencies into pounds sterling, and some concerns are still pursuing these erroneous principles and putting off the evil day, which is sure to come, when they will have to write down investments in foreign countries to such a large amount as will shake public confidence in them. Had sound principles of account- ing been adopted, these investments would have appeared each year in the Balance Sheet at their true market value, and no drastic readjustment of values would have been required. A method often adopted is to embody periodically in the Home Accounts in pounds sterling the abstract statements received from foreign countries at the par rate of exchange, but this par rate is not a fixed factor. Different nations have different bases upon which their currency is founded. Some, like our own country, have gold, others silver, some both of these metals, and others unfortunately have a paper currency. A gold basis has given the best results in the 286 ACCOUNTING IN THEORY AND PRACTICE FOREIGN CURRENCIES 287 I il I I past A gold currency does not fluctuate so much as one based upon silver. Between two countries both using a gold standard th^ variations in the rate of exchange are comparatively slight, and are caused by the demand for money varying. Between such countries the par basis of conversion is usually sufficiently correct to be adopted in the connection we are considering. Thus the par rate between this country and the United States is that £1 is equivalent to $4-86656 — or, expressed simply, the gold in 100,000 sovereigns could be made into 486,656 doUars. That this theoretical value is sufficiently correct to use for most prac- tical purposes is shown by the fact that a bill for £1000 payable on demand in New York realises about $4867, more or less, according to the demand for money in America. Even if the coinage of the whole worid was on a gold basis, there would be a difference in the rate of ex- change due to the laws of demand and supply. If America had the same currency as we have, and in consequence of the balance of trade and other transactions requiring America to remit money here, then £1000 payable in this country would be worth more to an American than £1000 payable in America would be worth to us, simply on account of the demand for money payable here being keener. As an example of transactions between this country and a country having a silver currency, suppose an insurance company has investments in India. The interest on these investments will be paid in rupees, and instead of being remitted home may be re-invested in India. If these Indian investments are valued at the nominal par rate of exchange, namely 2s. for each rupee, the Balance Sheet of the com- pany is altogether misleading, and the Profit and Loss Account shows a profit which has not been earned. Thus, if the Balance Sheet was prepared at a time when the rupee was at Is. 3d., and the Indian investments amounted to 3,200,000 rupees, then the value of these investments at 2s. for each rupee would be £320,000, whereas according to the market value these investments are worth, taking *the rupee at Is. 3d., £200,000, so that the Balance Sheet would show the assets too much by £120,000, and the balance of profit shown by the Profit and Loss Account would be overstated to the same extent. A convenient way to accomplish the same end, instead of writing down the Indian investments, is to have an "Exchange Fund to reduce Indian investments to their actual value as measured by the ruling market rate of exchange on date of balance." This exchange fund would appear as a liability, and would be formed by debiting the Profit and Loss Account with the loss due to currency depreciation. A company in this country, therefore, having either their assets or liabilities in a silver country must reduce these assets or liabilities to pounds sterling at the rate of exchange ruling in the market at the date of the balance. So far as this country is concerned, the currency of a silver country is simply merchandise, and must be valued on the same principles as those upon which we would take stock. Consider next the case of a paper currency. In this country £1000 in notes is supposed to be of the same value as £1000 in gold, but most of us would set more value upon the paper, and if we got our choice would prefer the £1000 to be in notes, as it would be so much more easily counted, handled, or transmitted. But in a country with a paper currency — that is, where the Government have de- clared that the paper notes issued by them shall be taken as legal tender — gold always commands a premium, or, as it might be better expressed, the paper currency is almost always at a discount, and fluctuations are always occurring according as the credit of the Government goes up and down. These fluctuations in such countries as the Argentine Re- public are very great, and practically reduce trade and business to a speculation on the rise and fall of the paper currency. Any one in such a country who incurs monetary obligations may find that within a month he has to pay double or three times what he had intended, in consequence of an alteration in the currency. Suppose a company having investments in the Argentine Republic were to convert these investments at the par basis of exchange, which is $5*04, equal to £1. Such a Balance Sheet would be altogether misleading. The correct method il 288 ACCOUNTING IN THEORY AND PRACTICE is to take the actual rate of exchange ruling at the date of the Balance Sheet. Suppose, for example, that at the date of the Balance Sheet the ruling rate of exchange was 250 — that is, gold was at a premium of 150 — then £1, far from being equal to $5*04, would be worth very much more expressed in dollars, namely, $5-04 x 2-50 = $12-6. $5*04, instead of being equivalent to £1, would be equal to 8s. Foreign Branches. Where there are branches of a business in foreign coun- tries, and the books of these branches are kept in the currency of the country where the branch is, the Trial Balance sent home will be in the currency of that country, and the first thing which must be done with each item is to convert it into sterling. The rate of exchange between this country and other countries is continually changing, and it is often difficult to determine the rate of exchange at which the con- version should be made. The best plan seems to be to adopt various rates of exchange, according to the nature of the entry in the Trial Balance. Rules for the Conversion of Foreign Currencies. 1. The items which make up the Head Office Account in the Branch Ledger should be taken at the actual figures which were current at the time the transactions took place — that is, the conversion will be made by substi- tuting the balance shown in the Head Office Ledger, which is in sterling, for the balance shown in lihe Branch Trial Balance in the foreign currency. 2. Profit and loss items representing transactions which have taken place during the period covered by the accounts should be taken at the average rate of exchange ruHng during the period covered by the transactions. 3. Floating currency assets and liabilities at the rate of ex- change current at the date of balancing the books, as that is their actual value. 4. Fixed assets and liabilities should be taken in the first instance at the rate of exchange ruling when they were incurred, but care should be taken that full allowance is made for any depreciation in value. FOREIGN CURRENCIES 289 It is quite evident that if different rates of exchange are used in converting the items in a foreign Branch Trial Balance into sterling the totals of the two sides when so converted will not agree. The difference should be entered as either loss on exchange or profit on exchange, as the case may be. The following may be taken as the Trial Balance of a branch sent home from India : — Trial Balance of Indian Branch as at 31st March. stock on hand at 1st January Purchases for period . Sales for period . Customers' Accounts . Creditors* Accounts . Bills receivable . Bills payable Wages and salaries . General charges . Rent, rates, and insurance London office Cash in bank Cash on hand Rs. Rs. 8,000 20,000 60,000 5,000 1,000 800 2,000 1,000 500 98,300 40,000 35,000 11,800 11,500 98,300 The stock on hand at 31st March is valued at Es. 4000. The above Trial Balance is forwarded to the head office in London, and in order to include it in the firm's State of Accounts at 31st March it must be converted into English money. The rate of exchange at 31st March is 14, which means that the rupee is worth Is. 2d. The average rate of exchange for the three months is 15, and the rate of exchange at 1st January was 16. The ratio of the rupee to the sovereign has been fixed at 15 to 1, thus giving it a value of Is. 4d. It must be noted, however, that the Indian exchange is always quoted in sterling per rupee as on p. 301, and for book-keeping purposes it will be found most convenient to express this sterling value in pence. Using these rates, therefore, and following out the rules given for converting the various items into English money, the Trial Balance will be as follows : — 290 ACCOUNTING IN THEORY AND PRACTICE Trial Balance of Indlan Branch as at 31st March (converted into English money). Rate of Bxchana^e taken. 16 Stock on hand at 1st January . £533 6 8 15 Purchases for period . 1250 15 Sales for period . • • £2500 14 Customers* Accounts > • 3500 14 Creditors' Accounts • 2041 13 4 14 Bills receivable . • • 291 13 4 14 Bills payable 1 • ■ 688 6 8 15 Wages and salaries , ^ 62 10 15 General charges • • 50 15 Kent, rates, and insurance 125 — London office (balance as appear- ing in London books) 718 4 tf 14 Cash in bank .... 58 6 8 14 Cash on hand .... 29 3 4 £5900 £5948 4 6 Loss on exchange 48 4 6 £5948 4 6 £5948 4 6 From the above it will be seen that after converting the rupees into English money the credit side is greater to the extent of £48 : 4s. 6d. This balance is carried to the debit of the Profit and Loss Account as " Loss on exchange." The balance of Ks. 11,500 due to the London office as appearing in the Trial Balance of the Indian branch is taken as £718 :4s. 6d. when converting the rupees into English money, as that is the figure appearing in the books at London, where each cash transaction with the Indian branch is recorded as it takes place. The various Methods of treating Transactions in Rupees in the Home Accounts illustraied. To illustrate the treatment of rupees the following transactions of Thomas Boss, an Indian merchant having a warehouse in London, may be taken : — I FOREIGN CURRENCIES 291 Transactions of Indian Merchant Date. Jan. 1. 2. 14. 28. Mar. 1. 14. 28. Ruling Rate of Exchange. 31 18A 16 15^ 16 14i HA 14 Cash belonging to Thomas Ross, Merchant, of London and Calcutta Remitted to representative in Calcutta Purchased for cash and sent to India, goods for Do. do. Do. do. Sold goods for cash in India . Do. do. Sold goods to Blake k Co. in India on credit Remitted to London Goods on hand in India at cost Expenses of Indian oflSce paid during quarter Paid expenses of London office for quarter .... Rs. £5,000 -1,000 1,000 1,000 1,000 20,000 Rs. 20,000 Rs. 20,000 Rs. 40,000 £900 Rs. 10,000 £200 The average rate of exchange may be taken as 15. It is required to show the profit on the consignment, the Profit and Loss and other Accounts, and the Balance Sheet at 31st March, as they should appear in the London books. First Method Cash Transactions only recorded in London Books. If the rise and fall in the price of the rupee be ignored altogether, except in connection with actual ca^h transac- tions and the balance at 31st March, the transactions might be recorded in the London books as follows : Notes. Rs. 20,000 at 14 = Rs. 40,000 at 14^ = Rs. 10,000 at 15 Rs. 5,000 at 14 = £1166 13 4 2343 15 625 291 13 4 To find the rupees due by the Calcutta representative It 18 necessary to have an account for him in rupees as' follows : — 292 ACCOUNTING IN THEORY AND PRACTICE FOREIGN CURRENCIES 293 Calcutta Representative. Jan. 2. To London office Mar. 1. ,, Sales 14. „ do. . Rs. 15,000 20,000 20,000 Rs. 55,000 Mar. 28. By London office 31. ,, Expenses . „ Balance . . Rs. 40,000 10,000 5,000 Ba. 55,000 The Ledger Accounts in the books in London would be as follows : — Ledger Cash Account. Jan. 1. To Capital Account Mar. 28. „ Calcutta house £5000 2343 15 « £7343 15 JO Jan. 2. By Calcutta house do. 14. „ do. 28. ,, do. Mar. 31. ,, Profit and expenses „ Balance . Loss £1000 1000 1000 1000 200 8143 15 £7343 15 Calcutta House. Jan. 2. I Mar. 28. To Cash £1000 | By Cash „ do 1000 Jan. 14. „ Cash 1000 Jan. 28. M Cash 1000 Mar. 31 Ptofit and Loss .... 1827 •I 1 8 £5327 1 8 Mar. 81. Profit and Loss, for expenses . Balances : — Cash due by agent in India (Rs. 5000 at 14) . . £291 13 4 Due by Blake k Co. (Rs. 20,000 at 14) . . 1166 18 4 Goods unsold at cost . . 900 £2343 15 026 2358 6 8 £5327 1 8 Profit and Ia)ss Account. Mar. 31. To Calcutta house, ex- penses in India . «, Cash, expenses in London .. Capital (net profit) £625 200 £825 502 1 8 £1327 1 8 Mar. 31. By Calcutta house £1327 1 8 £1327 1 8 Capital Account. Mar. 81. To Balance . Capital £5502 1 8 £5i02 1 8 Jan. 1. By Cash Mar. 31. „ Profit and Loss £5000 502 1 8 £5502 1 8 LiabUUies, Balance Sheet as at 31st March. Assets, £5502 1 8 £5502 1 8 Cash in London . Cash due by representative in India .... Blake k Co., India . ] GkKxis in India . £3143 15 291 13 4 1166 13 4 900 £5502 1 8 By the above method of treatment it will be observed that only the actual cash transactions are entered in the London books and at the period of balancing, the assets so far as in India have been converted into sterling at the rate of exchange ruling on the day of balance, with the exception of the goods, which have been taken at their cost price in sterling. Second Method All Transactions recorded and converted at rate of Exchange ruling when Transactions took place. If each transaction is recorded as it takes place, and the conversion is made at the rate of exchange ruling on the day when the transaction took place, the effect of changes in the rate of exchange is seen. The assumption is thus made that when a merchant purchases goods for export to India he expects that the rate of exchange will remain the same, and by this method the merchant tells at once what portion of his loss or profit is due merely to the rate of exchange rising or falling. 4 294 ACCOUNTING IN THEORY AND PRACTICE Ledge K Cash. FOREIGN CURRENCIES Jan. 1. To Capital Account Mar. 28. ,, Calcutta house £5000 2343 15 £7343 15 Jan. 2. By Calcutta house ,, Consignment . 14. ,, do. 28. ,, do. . Mar. 31. ,, Expenses (London) ,, Balance • • « £1000 1000 1000 1000 200 8143 15 £7343 15 Calcutta House. Rs. Exchange. Mar. 28. Rs. Bxchan;:^ Jan. 2. £ 5. d. £ 9. d. To Cash 15,000 16 1000 By Cash 40,000 14^ 2343 15 Mar. 1. ,, Expenses for ,, Consignment . 20,000 15 1250 quarter 10,000 15 625 Mar. 14. Mar. 31. „ Consignment . 20,000 14i 1208 6 8 ,, Balance ,, Exchange, loss 5,000 14 291 13 4 197 18 4 65,000 1 3458 6 8 55,000 3458 6 8 Consignment Account. Mar 1. By Calcutta house 14. ,, do. 28. „ Blake k Co., Calcutta 81. ,, Balance (cost price of goods unsold) . R«. Exchange. Jan. 2. To Cash 14 „ do. 28 „ do. Mar. 31. „ Profit and Loss £ 1000 1000 1000 1530 5. 4 d. 2 20,000 20,000 20,000 15 14i 14A £ «. d. 1250 1208 6 8 1171 17 6 900 4530 4 2 4530 4 2 Blake & Co., Cakutta, Mar. 28. To Consignment Rs. 20,000 Exchange. HA £ 1171 8. 17 d. 6 1171 17 6 Mar. 31. By Balance . ,, Exchange, loss £ s. d. 1166 13 4 5 4 2 1171 17 6 295 Exchange Account. Mar. 31. To Calcutta house . £197 18 4 , Blake k Co. . 5 4 2 Mar. 31. By Profit and Loss . £203 2 6 £203 2 t> £203 2 6 Thomas Boss, Capital Account. Mar. 31. To Balance . £5502 1 8 £5502 1 8 Jan. 1. By Cash . £5000 Mar. 31. „ Profit and Loss . 502 1 8 £5502 1 8 Expenses. Mar. 31. To Calcutta house „ Cash (London) Ra. 10,000 Exchange. 15 £ 8. d. 625 200 825 Mar. 31. By Profit and Loss . £825 £825 Profit and Loss Account. Mar. 31. To Expenses . £825 „ Exchange, loss . 203 2 6 Mar. 31. By Consign- ment . . £1580 4 2 £1028 2 6 „ Capital (net profit) . 502 1 8 £1530 4 2 £1530 4 2 The Balance Sheet is the same as hy the first method. From the Profit and Loss Account the merchant learns that the adverse fluctuations in the value of the rupee have cost him £203 :2s. 6d. Third Method Conversion at Average rate of Exchange. If all the transactions, except cash transactions, between the two countries are converted into sterling at the average 296 ACCOUNTING IN THEORY AND PRACTICE rate of exchange during the period such transactions took place, and the balances at the close of the period are con- verted at the rate of exchange ruling on that date, the loss on exchange is greater although the net profit is brought out the same. Cash Account. Jan. 1. To Capital . . £5000 Mar. 2S. ,, Calcutta hou.>e . 2343 15 £7343 15 Jan. 2. By Calcutta house . £1000 14. 28. Mar. 31. , , Consignment ,, do. , , do. ,, Profit and Loss expenses (London) „ Balance 1000 1000 1000 200 3143 15 £7343 15 THE FOREIGN EXCHANGES 297 Blake & Co.j Calcutta. Mar. 28. To Consignment Bs. 20,000 Bxchange. Mar. 31. To Calcutta house „ Blake* Co. 15 £ s. d. 1250 1250 Mar. 31. By Balance . ,, Exchange, loss Rs. 20,000 Exchange. 14 ExcJiange Account. £239 11 8 83 6 8 £322 18 4 Mar. 31. By Profit and Loss £ 8. d. 1166 13 4 83 6 8 I 1250 . £322 18 4 £322 18 4 I Jan. 2. To Cash Mar. 1. „ Consignment Mar. 14. „ Consignment Jan. 2. To Cash . 14. ,, do. . 18. „ Mar. 31. „ Calcutta House, Rs. 16,000 20,000 20,000 Bxchange. 16 15 15 £ 5. d. 1000 1250 1250 55,000 3500 Rk. Exchange. Mar. 28. By Cash . 40,000 14A £ ». d. 2343 15 ,, Profit and Loss expenses (India) Mar. 31. ,, Balance ,, Exchangf, loss . 10,000 6,000 15 14 625 291 13 4 239 11 8 55,000 3500 Consignment Account. £ 8. d. . 1000 . 1000 do. . . . 1000 Profit and Loss . 1650 4650 Rs. Exchange. Mar. 1. By Calcutta house M do. 28. „ Blake & Co. . 31. ,, Balance (cost price of goods unsold) 20,000 20,000 20,000 15 15 15 £ 8. d. 1250 1250 1250 900 4650 Profit and Loss Account. Mar. 31. To Calcutta house, expenses „ Cash, expenses in London . „ Exchange, loss Rs. 10,000 Exchange. 16 £ 8. d. »i Capital (net profit) . 625 200 825 322 18 4 1147 18 4 502 1 8 1650 _L Mar. 31. By Consignment .£1650 £1650 THE FOREIGN EXCHANGES The foreign exchanges are the means by which the indebtedness of commercial nations is discharged. The theory of the foreign exchanges deals with the principles upon which foreign bills are drawn, dealt in, and settled. The forei^Ti exchanges are founded on the trade of 298 ACCOUNTING IN THEORY AND PRACTICE this country with other countries. The imports of this country amount to about £450,000,000, and the exports to £300,000,000. Besides the trade of the country there are other causes of indebtedness which require to be settled. Thus loans may be granted to the governments or individuals of foreign countries, and the settlement of these loans with interest upon them will be effected by means of the exchange between the two countries. The theory of the foreign exchanges may be very simply illustrated, and is not difficult to understand. Tlius, suppose that X is an importer and Y an exporter in New York, and that A is an importer and B an exporter in London, and that Y sends goods to A, and B sends goods to X, to the value of £1000. The result of these transac- tions, which is shown on the diagram, is that X is due B £1000, and A is due Y £1000, and to settle their in- debtedness X would require to ship £1000 in gold from New York to London, and A would require to ship £1000 in gold from London to New York. To save the expense of this shipment of gold, all that is necessary is for X to hand his neighbour Y in New York £1000 in gold, and for A to hand his neighbour B in London the £1000 in gold. This may be effected in various ways. The usual way is for Y to draw a bill on A and transfer it to X by endorsement, receiving the £1000 or its exchange equivalent from him for it. X sends the bill to B in payment of his debt, and B collects the cash from A, thereby satisfying all parties. This illustrates the essence of the transaction, but in practice the course adopted would differ in respect that the parties would have no direct dealings, they would deal through the bankers with the same ultimate result. The debt of A in London is "drawn for" by his New York creditor, and the debt due to B in London is " remitted for " by his New York debtor. The majority of transactions with this country are so settled. The following diagram, in which the principle of Ledger Accounts is utilised, shows the whole transaction very clearly : — THE FOREIGN EXCHANGES 299 Foreign Exchanges Diagram NEW YORK. X, Importer. Ih. Or, Receives goods from B. ToB. T. exporter. Ih. Cr. Pays cash to Y for bill, and sends bill to B. Sends goods to A. By A. Draws upon A, and endorses the bill to X in exchange for ita value. LONDON. A, Importer. Dr. Cr. Receives goods from Y ToY. B. exporter. Dr. Cr. Sends goods to X. ByX. By Y. ToX. I Pays B cash for bill. ByB. Receives bill from X, and gets the cash from A. To A. The result would have been the same if, instead of Y drawing upon A, B had drawn upon X. In this case the settlement would have been effected as follows : — B draws upon X. B receives cash from A, to whom be gives the bill. A sends the bill to Y. Y receives the bill, and gets cash from X in extinction of it. It has been supposed in this illustration that the in- debtedness is of the same amount. If it is different, gold must be exported by the country having most to pay. In consequence of the stability of our currency, and the fact that London is the centre of exchange, and from other causes, it is more usual for foreign bills to be drawn on London than for the exporter here to draw bills on his 300 ACCOUNTING IN THEORY AND PRACTICE foreign customers. The exchange therefore is practically done by means of bills drawn abroad and accepted and paid in London, and bills received from abroad and collected in London. Mint Par, The Mint par of exchange, sometimes called the par of exchange, is the intrinsic value of the currency unit of one country expressed in terms of the currency unit of another country using the same metal as the standard of exchange. There is thus no fixed Mint par of exchange between two countries having different metals as their standards where these metals vary in value. The most important pars are the following : — France, francs 25 '22 J. Germany, Marks 20-43. United States, dollars 4-86f. The Course of the Exchanges, The rate of exchange between this country and other countries would normally be the ratio which their standard coins bear to ours intrinsically, but on account of the variations in the indebtedness of the countries to one another with the consequent variations in the demand for and supply of bills to settle that indebtedness, together with other less potent influences, the course of the exchanges between the countries is continually fluctuating. Cheques and sight bills are known as the Short Exchange, and their price fluctuates with the balance of indebtedness ; the Long Kate is the short rate plus interest to the date of maturity of the bill. Each day the Times, the Scotsman, and other papers publish a statement of the rates of exchange which were current the day preceding. The following is such a statement, the words in italics having been added to explain the figures. THE FOREIGN EXCHANGES 301 THE EXCHANGES London, Tuesday Evening, 29th August 1899. The following are the rates of exchange on London, cabled from the chief commercial centres : — Paris, cheqnes . Bnusels, cheques Geneva, sight Berlin, cheques . Vienna, sight Amsterdam, sight Italy, sight Athens, sight . Madrid, sight . Lisbon, sight St. Petersburg, 3 months Rio, ninety days Valparaiso, ninety days Argentine gold premium To-day. 25-24 26 -29^ 25-36^ 20-47i 12-06i 12-10} 27-13 38-40 Nom. 36|d. 93-80 8d. 15id. 126-00 Previoua 25-24 25-30 25-36i 20-47} 12-06 12-lOi 27-14 38-40 Nom. 36Jd. 93-90 8d. 15 19 32d. 126-80 francs and centimes per £. do. do. reichsmarks and pfennigs per £. florins and Tcreuzers per £. guilders and slivers per £. lire and centesimi per £. drachmai and lepta per £. {usually quoted in pence per peseta), pence per milreis roubles per £10. pence per milreis, pence per peso, see page 282. The rates telegraphed from the East were :- Bombay teleg. trans. . Calcutta do. H.-Kong, 4 mos.* bills Do., teleg. transfers Shanghai, 4 mos.* bills Do., teleg. transfers Yokohama, 4 mos.' bills Do., teleg. transfers Singapore, 4 mos.' bills Manila, 4 mos.' bank bills To-day. Is. 3 31-32d. Is. 3 31-32d. Is. 11 ll-16d. Is. Hid. 2s. 8id. 2s. 8}d. 2s. ll-16d. 2s. Oid. Is. 11 15-16d. 2s. Oid. Previous, Is. 3 31-32d. Is. 4d. Is. 11 ll-16d. Is. Hid. 2s. £.\d. 2s. Sjd. 2s. ll-16d. 2s. Oid. 28. Od. 2s. Oi per rupee. do. per dollar. do. per tael. do. per dollar, do. do. do. The rates for merchants' bills on the East were India, 80 days . Hong-Kong, 60 days Shanghai, 60 days Straits, 60 days . Japan, do. To-day. Is. 3 13-16d. Is. lid. 28. 7id. Is. ll|d. 23. OJd. Previous. Is. 3 13-16d. Is. lid. 2s. 7M. is. llid- 2s. 0|d. per rupee per dollar, per tael. per dollar, do. 302 ACCOUNTING IN THEORY AND PRACTICE INCOME TAX 303 INCOME TAX Under the Income Tax Acts persons with incomes beyond £160 per annum have to pay tax on their net income. The tax is to a certain extent graduated, and the following table shows the abatements allowed : Income Tax Table of Exemption and Abatement Income Abatement. Exceeding. Not Exceeding. £160 400 500 600 £160 400 500 600 700 Exempt £160 150 120 70 The Government year closes on 5th April, and the income tax is charged for the year ending on that date. For the purposes of the Income Tax Acts incomes are classified under five Schedules, according to the various sources from which they are derived, as follows : Schedule A. Ownership of land and buildings. B. Occupation of land. ., C. Interest out of public funds, etc. ., D, Profits of trade. E. Salaries, etc., payable out of revenue or by public companies. the public Schedule A. Under Schedule A is taxed all income from the owner- ship of land and other heritable property in the United Kingdom. It is the owner's tax, and is ultimately paid by the landlord. One of the leading principles in the levying of income tax is to tax all income at its source. By this means many small collections of the tax are avoided, and there is less likelihood of any person evading payment of his fair share. As an illustration of the effect of taxing income at its source, and how matters adjust themselves so that no one need pay more than his proper share of the tax, take the case of a house proprietor, A, the owner of houses having a rental of £1380 a year. Suppose that a feu-duty of £100 a year is payable by A to B in respect of part of the property, and that there is a bond over the property in favour of C, to whom £300 a year is payable in respect of interest. The income-tax assessors charge A on the net annual value of his property, which is reckoned at the gross rental minus one-sixth to cover the annual repairs, and also minus an allowance for owners* rates. A therefore pays tax, say on £1380 - (£230 + £150) . He. however, deducts the tax in paying the feu- duty of . . . . ^100 and the mortgage interest of . 300 He is, therefore, really only taxed on his net income . B pays tax, through the deduction being made from the feu-duty payable to him, on • • C pays tax, through the deduction having been made from the interest payable to him, on . . . So that, in place of there being three collections, there is in this case only one collection of tax on ...... £1000 400 £600 100 300 flOOO If the only income of B is the feu-duty of £100, he would be entitled to claim repayment of the tax from the Inland Eevenue, his income being under £160. If the only income of C is the £300 of interest, ne would be entitled to claim repayment of the tax upon £160. Schedule B. Under Schedule B is included the income from the occupation of lands. The farmer has the right to say whether he will be assessed under this Schedule or under 304 ACCOUNTING IN THEORY AND PRACTICE Schedule D. If lie elects to be assessed under this Schedule his income is estimated at one-third of the rent of his fann. The farmer may, however, elect to be assessed under Schedule D upon his actual profits. If a farmer's actual income does not amount to the sum at which he is assessed, he may claim repayment of the tax over-paid. The occupiers of gardens and pleasure-grounds are assessed under this schedule. Schedule C. Under Schedule C is assessed all income in respect of interest and annuities payable out of any Grovernment funds. All interests and annuities payable by local authorities and secured on rates are subject to deduction of tax at the rate ruling at the date of payment. Schedule D. Under Schedule D are included the profits of trades, professions, employments, or vocations carried on by persons residing in the United Kingdom, or carried on in the United Kingdom by persons resident elsewhere. Ordinary business profits are determined on the basis of the average annual profit for the three years ending on the date of the balancing of the books of the business, which is immediately previous to the 5th April commencing the year of assessment. If the business has been commenced within three years, the assess- ment is upon the average from the period of commencing the same. If the business has been commenced within the year of assessment, the profits have to be estimated according to the best knowledge and belief of the taxpayer. In submitting the Profit and Loss Account of a con- cern to the assessors, sometimes special Profit and Loss Accounts are prepared containing only the items which should be included according to the principles laid down by the assessors. The better method is to submit copies of the Profit and Loss Accounts of the concern as they appear in the business books, and in an appended state- ment show any deductions or additions which require to INCOME TAX 305 be made to give effect to the requirements of the assessors. There is submitted such a statement showing various deduc- tions and additions required to adjust the profit shown in the Profit and Loss Accounts for the three years to the assessable profit under the Income Tax Acts. Schedule E. Schedule E is in respect of income derived from public offices and employments of profit. The deductions allowed from the gross income are the actual expenses incurred in the performance of the duties of the office. EEID & CO., ENGINEERS Abstract of Profit and Loss Accounts By Contracts and sales . „ Rents received . Gross income Income. 1899. 1900. 190L £31,000 200 £38,000 200 £50,000 200 £31,200 £38,200 £50,200 Expenditure. To Material . „ Wages and salaries ,, Charges . ,, Rent, rates, taxes, etc ,, Discount . ,, Depreciation ,, Interest on mortgage , , Interest on capital ,, Salaries to partners ,, Profit allocated to partners 1899. 1900. 1901. £13,000 £18,000 £25,000 12,000 13,000 17,600 700 800 900 600 500 500 500 600 700 400 500 600 300 200 100 500 600 700 1,000 1,000 1,000 £29,000 £35,200 £47,100 2,200 3,000 3,100 £31,200 £38,200 £50,200 3o6 ACCOUNTING IN THEORY AND PRACTICE Statement showing Assessable Income Profit allocated to partners as above Add— Salaries to partners . Interest on capital . Interest on mortgage Depreciation . Deduct — Rents received, upon which tax already deaucted . Depreciation allowed by assessors Assessable income 1899. £2200 1000 600 300 400 1900. 1901. £3000 £3100 £4400 1000 600 200 500 1000 700 100 600 £.')300 £200 300 £200 400 £5500 £500 £3900 £600 £200 400 £4700 £600 £4900 Equal to an average of £4500 per annum. In preparing the Return the rules and regulations pre- scribed by Income Tax law and practice must be observed, of which the following are the most frequently met with, and which are illustrated in the foregoing example:— 1. The average is for the three years completed before the commencement of the assessment year; the foregoing statement was for the Return for 1902-3. 2. Salaries to partners and interest on capital are not proper charges against business profits ; they are allocations or appropriations of profits. 3. Interest on mortgage, and also feu-duties and other annual payments from which tax is deductable at the time of payment, must be included in the Return, so that they may be assessed, and the tax thereon is recovered by deduction from the termly payments of these burdens. 4. The rates of depreciation charged against Profit and Loss Account for each year by different firms differ widely, and accordingly the surveyors require to be satisfied regarding the amounts written off from year to year. The practice is INCOME TAX 307 to disallow the provisions made by the firm and to fix an amount estimated at varying rates according to the nature of the assets. 5. All bad debts actually written off and discounts actually allowed are admissible charges against Profit and Loss Account, but provisions and reserves against these items for the future are not proper deductions. 6. If property tax under Schedule A or income tax under Schedule D be included under the rent and taxes heading in the firm's books, the items must also be disallowed. 7. If the firm own their business premises they may charge their Profit and Loss Account with the gross rent as if they were tenants, in which case they must not also charge repairs and owners* taxes ; or they may charge repairs and owners' taxes and also deduct the net annual value on which they are assessed under Schedule A This last item is one which is frequently overlooked, thus resulting in the firm being twice assessed for it — under Schedule A and again Schedule D. 8. Rents of property owned by the trader, and dividends and interests from investments held by him, should be eliminated from his business Profit and Loss Account, as they are already taxed, and should not therefore be included to augment his assessable profit under Schedule D. Items which have been charged to Profit and Loss Account, but which are not admissible as deductions, should be written back by being added to the profit brought out in the accounts, and items which are allowable as deductions, but which have not been charged in the accounts, should be deducted, as shown in the example. Since the introduction of the relief granted to earned incomes by the Finance Act of 1907 a firm must be assessed in its corporate capacity. It must be remembered, neverthe- less, that the tax is one falling upon the incomes of the individual partners, and it must accordingly be apportioned between the partners and not be charged in the firm's Profit and Loss Account. If it be so charged the effect is to allocate the burden between the partners in the proportions in which they share the net profits, notwithstanding that 3o8 ACCOUNTING IN THEORY AND PRACTICE INCOME TAX 309 li there might be salaries to partners and varying interests on capital, besides other disturbing factors at work. The apportionment in each case is one for careful consideration, and the principles to be kept in view are— (1) The tax paid must be first subjected to deduction in respect of the tax recovered from other parties on payment of feu-duties, interests, etc. ; (2) tax on salaries to partners and on interest on capital must also be deducted from the tax paid and debited directly to the accounts of the partners credited with such salaries and interest ; (3) the balance of the tax then falls to be allocated and debited to the partners' accounts in the proportions in which they share the profit of the assessment year, especiaUy keeping in view any general abatements and life insurance abatements to which the individual partners are entitled. An abatement is allowed from all incomes, to an extent not exceeding one-sixth of the total income, in respect of premiums paid to British Life offices to secure an assur- ance or annuity on the life of the taxpayer himself or on that of his wife. This special abatement does not affect the general abatement to which the taxpayer is entitled; thus — The total income is £410 On which the general abatement is . £150 And the life insurance abatement in respect of premiums amounts to . 50 Net assessable income £210 The general abatement is on the MIO, not on the £410 less the premiums of £50. Exercise. The net profits of a business for the past three years amounted to £1000, £1050, and £1100. For the purpose of ascertaining the amount liable to income tax, it was necessary to reconsider certain of the items which had been '% charged against the profit, and the following list of items was prepared: — Income tax paid Feu-duty paid, less tax Interest on mortgage, less tax Interest on loan, less tax . Interest on capital Partners' salaries Bank interest on current account 51 1st Year. £24 25 100 40 250 500 2nd Year. 3rd Year. £27 25 100 60 280 500 48 £30 25 100 60 300 500 36 Prepare statement showing the assessable profit for the year. The, Pre;paration of Income Tax Tables, When the rate of income tax changes as at 5th April in any year, the tax deductable from the half-yearly payments falling due at the following Whitsunday term must be regarded as composed of the proportions of the old and new rates of tax equivalent to the periods for which these respec- tive rates ruled within the half-year while the interest or other income was accruing. For example, the rate ruling at 5th April 1908 was Is., and suppose that from that date it was lOd., then the rate of tax to be deducted from half- yearly payments falling due at Whitsunday 1908 would be ascertained thus : The rate would be lOd. from 5th April to 15th May =40 days ; it is a half-yearly payment which is to be charged, and is therefore in respect of 182 J days ; of this already 40 days are taken at lOd., and the balance of the period, 142J days, is therefore at Is., giving— (U2^xl2) + (40xI0) ,,,.,^,^,,,, 1«2J from this fraction a table of values may be prepared to the nearest farthing, in the same way as is explained on p. 311. « 3IO ACCOUNTING IN THEORY AND PRACTICE ^ RATES OF LOCAL AUTHORITIES 3" EATES OF LOCAL AUTHORITIES In connection with the levying of the rates of local authorities there are some interesting questions. A con- siderable amount of economy may be effected in the manner in which the various rates are calculated and collected. The tendency at the present time is to consolidate the various rates so as to have one local rate for all purposes. The economy which would thereby be effected is consider- able. One of the strongest objections which can be raised against such consolidation is that it removes the spending authority farther from the ratepayers, and so may lead to the local authority spending more than they would other- wise do. The Poor and School Rates, as a rule, are collected together, and the following are given as examples of the preparation of Assessment Tables to be used in preparing the Assessment Roll : — Edinburgh Parish Council Preparation of Assessment Tahles for Year ending 15th May 1900. The rates as fixed by the Edinburgh Parish Council in July 1899 were as follows: — Owners. Occupiers. TotaL Poor Rate, Sy^d. per £. 3^^^. per £. 6|d. per £. School Rate, 4^. per £. 4iid. per £. 9id. per £. In terms of the 37 th Section of the Poor Law Act, 1845, the Council, in fixing the annual value of the herit- able subjects in the parish, granted in respect of expenses and repairs a deduction of 10 per cent from the rental of all lands and heritages within the parish, with the exception of water- works, tramways, and railways, in connection with which a greater deduction was allowed. Formerly, in giving effect to this deduction of 10 per cent, the rentals as given in the Assessment Roll were reduced by 10 per cent, and thereafter the rate was calculated on the nine-tenths rental To obviate this preliminary step it is only necessary to prepare a table in which the one-tenth has been deducted from the tax, and this is done in the following method. I. To prepare the Ovmers' Assessment Table, The Owners' Rates as fixed were : Poor Rate, S^^. per £ ; and School Rate, 4^d. per £ ; a total rate of Vf^., or 7-8375d., per £ on the nine-tenths, or valued rental, as it is termed. Now, as stated before, instead of deducting one- tenth from the rentals the deduction is made from the tax, which becomes 7*05375d. per £ on the gross rental In preparing the tables it is necessary to have every figure to the nearest halfpenny, and in order to get this '5 of a halfpenny is added to the initial value, which makes all the other values come automatically to the nearest half- penny. Otherwise it would be necessary to go over the whole table after it had been calculated, and treat every -5 or greater fraction of a halfpenny as a halfpenny. 7-05375 reduced to the decimal of a halfpenny is 7 pence '1075 halfpence. Therefore, in order to get each succeeding figure to the nearest halfpenny '5 is added to this initial value, which becomes 7 pence -6075 halfpence. It is now only necessary to add to this continuously 7 pence '1075 half- pence as far as the increments of £1 in the rental are desired. The table is calculated by increments of £1 up to the rental of £280. From £280 to £300 by increments of £5, which is got by adding on continuously 5 times 7-05376 pence, which is equal to 2s. iid.o-5875 (halfpence). ^rom £300 to £1000 the table goes up by increments of £100, and from £1000 to £10,000 by increments of £1000. The working for the first ten places is as follows : — i\ i| I 31a ACCOUNTING IN THEORY AND PRACTICE intal. £ 1 £ Tax. 9. Half- d. pence 0-«}075 7 2 1 0-7150 2 S I 0-8225 9 4 2 0-9300 4 § 2 1-0376 11 e 3 1-1450 6 7 4 1-2526 1 8 4 1-8600 8 9 5 1-4676 3 10 5 1-5750 10 From the above it "will be seen that the tax has been calculated to the nearest halfpenny at once by adding on the '5 of a halfpenny to the initial value before starting to prepare the table. After the table has been calculated it is best to have it printed from the original manuscript, in which case the printer disregards the decimal places and prints the rest as it stands, the small figure at the right of the pence representing halfpence. For example, the tax on £10 is 5s. lOjd. The table may be proved, when calculating, at intervals of 5 or 10. For instance, the figure which is added on continually is 7*05375 pence, and this multiplied by 10 should give the tax on £10. Now 7*05375 multiplied by 10 is 70-5375 pence, or 5s. 1 Od.^*^^^ »^^'p*°^ If we add on -5, which was added to the starting figure, in order to have every value to the nearest halfpenny, we get 58. lOd.^'^^^^^P*""'' which is the figure already shown by the table. The table may thus be proved at every interval of 10 either by using the original figure, 7*05375 pence, and multiplying by the RATES OF LOCAL AUTHORITIES 313 rental, or by using intermediate figures, the accuracy of which has already been proved. II. To p-epare the Occupiers* Assessment Table, The Occupiers' Rates as fixed were : Poor Rate, 3^j^. per £ ; and School Rate, 4^d. per £ ; a total rate of 8^., or 8*1625d., per £. Deducting 10 per cent from 8*1625d., we obtain 7*34625d., and this figure expressed in the decimal of a halfpenny is 7 pence '6925 halfpence. We therefore add *5 to this, which gives 7^*^^** Starting with this figure, and adding 7°'®*^ continually, we construct the table. The working out for the first ten places is as follows : — RentaL £ 1 1 £ rax. 5. Half. d. pence. 1-1925 7 2 1 1-8850 2 3 1 0-5775 10 i 2 1-270C 5 5 3 1-9625 6 3 0*6550 8 7 4 1-3475 3 8 4 0-0400 11 9 5 0-7326 6 10 6 1*4250 1 This table should also be proved at intervals of 10 in a similar way to that of the Owners' table, which has been already explained. II 314 ACCOUNTING IN THEORY AND PRACTICE LOANS REP A YABLE B Y INSTALMENTS 315 III ill LOANS KEPAYABLE BY INSTALMENTS A favourite method of repaying loans is by equal annual instalments, which include a payment of principal and the interest due on the principal outstanding. For municipal bodies who are allowed to borrow on the condition that the loan is paid off during a certain period this method is of great advantage, as otherwise the local authority would have to accumulate a sinking fund, and by setting aside and in- vesting so much out of the rates each year have the neces- sary funds out of which to repay the amount borrowed. The local authority thus saves the expense of investing the sinking fund, the risk of the sinking fund investment proving bad, and the risk of the rate of interest realisable falling. In respect of these risks local authorities are usually willing to give a slightly higher rate of interest for money repayable by equal annual instalments than they would give for a permanent loan. When a loan is repay- able by equal annual instalments of principal and interest it practically amounts to the corporation investing the sinking fund in the security of the loan itself The rate now charged by the Local Government Loan Commissioners is only 3J per cent for loans repayable within thirty years, and these terms are as low as can be obtained anywhere. Such loans are also granted on the footing that the same instalment of principal is repaid each year. In this case the amount of interest gradually decreases as the loan is paid off. The charge for interest and repayment of capital is thus heavier during the beginning of the loan than by the method of having an equal annual instalment of principal and interest Loaii^ repayable by Equal Annual Instalments, including Principal and Interest, When the rate of interest charged by the lender and the rate of interest at which the sinking fund can be accumu- lated are the same, or when the sinking fund is paid to the lender in redemption of the loan, the following is the method of arriving at the annual instalment : — Bule. Kefer to a table showing the annuity which £1 will purchase for any number of years at the given rate of interest, and opposite the given number of years will be found the annuity bought by paying down £1. This multi- plied by the amount of the loan wiU give the annual instalment to pay off the loan, principal and interest, in the given time. . . , Example.— To find the annual instalment of principal and interest to pay off a loan of £1000 in five years at 3 per cent. Referring to a table showing the annuity which £1 will purchase, and opposite five years and under 3 per cent we find -218355. This multiplied by 1000 gives 218*355, which is the annual instalment to pay off the loan, with interest The annual instalment is £2 1 8 : 7s. Id., and of this sum there is given to the lender for interest each year the sum of £30, and the balance of £188 : Ts. Id. is the instal- ment of principal to be accumulated at 3 per cent or paid to the lender. This balance of £188 : Is. Id. invested each year at 3 per cent amounts at the end of five years to the £1000. Schedule of Repayment. When the loan is made repayable by annual instalments, including principal and interest, it is usual to have a schedule showing the interest and capital in each instalment annexed to the bond. The receipts for the payments of the instal- ments should also separate the interest and capital, because income tax should be deducted from the interest and not from the whole instalment The method of preparing these schedules will be seen from the following examples. Suppose a borrower obtains a loan of £1000 from a.n investment company at 5 per cent interest, repayable in six years by equal annual instalments. To find the instalment # 3i6 ACCOUNTING IN THEORY AND PRACTICE LOANS REP A YABLE B Y INSTALMENTS 317 we refer to a table, and find that the instalment to repay a loan of £1 under the given conditions is -19701747. Multiplying by 1000 we get as the instalment £197-01747, or £197 : Os. 4d. It is evident that for the first year the interest is £50; hence the first instalment of capital is £147 : Os. 4d. For the next year the instalment of capital will be this sum, together with 5 per cent upon it, as interest will no longer be chargeable upon the capital repaid, but the amount of such interest wUl go to liquidate the debt. Hence the capital repaid each year is got by adding interest at 5 per cent to the capital repaid in the previous year. The schedule when completed is as follows • SCHEDULE No. 1. Showing the Interest and Capital contained in each Instalment of a Loan of £1000, repayable in Six Years BY Equal Annual Instalments of £197 :0s. 4d. Interest^ 5 per cent. Nnmber of Instalment Date when due. lutereot in Instalment. Capital in Instalment. Capital outstanding after Instalment paid. 1 2 3 4 6 6 15th May 1899 Do. 1900 Do. 1901 Do. 1902 Do. 1903 Do. 1904 £ 50 42 34 26 18 9 i. 13 18 16 6 7 d. 7 6 4 7 £ 147 154 162 170 178 187 «. 7 1 3 14 12 d. 4 4 9 10 9 & 852 698 536 366 187 fl. 19 12 10 6 12 d. 8 4 7 9 9 1000 As another example, suppose a borrower obtains a loan of £1000 at 5 per cent, repayable in three years by equal annual instalments of £367 :4a 2d. The schedule of re- payments would be as follows : — SCHEDULE No. IL Showing the Interest and Capital contained in each Instal- ment of a Loan of £1000, repayable in Three Years BY Equal Annual Instalments of £367 : 4s. 2d. Interest^ 5 per cent. Number of Instalment. Date when due. Interest in Instalment. Capital in Instalment. Capital outstanding after Instalment paid. 1 2 3 15th May 1899 Do. 1900 Do. 1901 £ 50 34 17 8. 2 9 d. 10 8 £ 317 333 349 s. 4 1 14 d. 2 4 6 £ 682 349 8. 15 14 d. 10 6 1000 Taking the loan given in Schedule No. II. as an illustra- tion, the transactions in the borrower's ledgers would appear as follows : — Investment Company, 1899. May 15. To Cash . £367 4 2 1898. May 15. By Cash . £1000 1900. May 15. ., do. . 367 4 2 1899. May 15. ,, Interest 50 1901. May 15. ., do. . 367 4 2 1900. May 15. 1901. May 15. do. ., do. 34 2 10 17 9 8 £1101 12 6 £1101 12 6 The Ledger Account of the lender as given above would at the end of the three years be square, as the loan would be paid off. If the borrower balanced his books on the 15 th May in each year after the transactions of the day were over, the Ledf^er Account at that date annually would show the balance of capital due to the investment company as given in the schedule, as follows : — 3i8 ACCOUNTING IN THEORY AND PRACTICE LOANS REP A YABLE BY INSTALMENTS 319 ! Investment Company. 1899. May 15. To Cash ,, Balance 1900. May 15. To Cash ,. Balance 1901. May 15. To Cash £367 4 2 682 15 10 £1050 £-367 4 2 349 14 6 £716 18 8 £367 4 2 £367 4 2 1898. May 15. By Cash 1899. May 15. „ Interest 1899. May 16. By Balance 1900. May 16. „ Interest 1900. May 16. By Balance . 1901. May 15. „ Interest . £1000 50 £1050 ^ — £682 15 10 34 2 10 £716 18 8 £349 14 6 17 9 8 £ 367 4 2 If the borrower closed his books as at 31st December in each year the proportion of interest due to that date would require to be calculated, and the Ledger Account would be as follows. It wiU be observed that the interest is credited also at 15 th May, because it is compounded at that date. Investment Company. 1898. Dec. 31. To Balance. . £1031 10 2 1899. May 15. To Cash Dec. 31. ,, Balance 1900. May 15. To Cash Dec. 31. ,, Balance 1901. May 15. To Cash £1031 10 2 . £367 4 2 704 6 £1071 10 2 £367 4 2 360 14 10 £727 19 £367 4 2 £367 4 2 1898. May 15. By Cash Dec. 31. ,, Interest £1000 31 10 2 £1031 10 2 1899. Jan. 1. By Balance . £1031 10 2 May 15. ,, Interest . Dec. 31. do. 18 9 10 21 10 2 1900. Jan. 1. By Balance May 15. ,, Interest Dec. 31. „ do. 1901. Jan. 1. By Balance May 15. „ Interest £1071 10 2 £704 6 12 12 8 11 4 £727 19 £360 14 10 6 9 4 £367 4 2 When the rate of interest charged by the lender and the rate of interest that can be obtained on the investment of the annual instalment of principal are not the same, the following is the method of arriving at the annual instal- ment : — Ride. Refer to a table showing the amount of £1 per annum in any number of years, and opposite the term of years of the loan under the rate per cent at which the sinking fund can be invested will be found the amount produced by setting aside £1 yearly. The amount of the loan divided by this sum will give the annual instalment of sinking fund required to pay off the loan so far as the principal is con- cerned. Add to this a year's interest on the loan at the rate agreed on, and the total will be the total annual charge. JSxample. — The sum of £10,060 is borrowed at 3^ per cent per annum, and the principal is payable at the end of thirty years. The instalment of principal can only be invested at 3 per cent. Find what annual sum must be set aside. The sum of £1 per annum accumulated at 3 per cent per annum will amount to £47-57542 in thirty yeara £10,000 divided by 47-57542 gives £210 : 3s. lOd., which is the sum which must be set aside each year and invested at 3 per cent to amount to £10,000 in thirty years. The total annual charge is therefore : — Interest on loan of £10,000 at 3^ per cent £350 Annual sum to be put to the sinking fund, and invested at 3 per cent 210 3 10 £560 3 10 Loans repayable by Equal Annual Instalments of Principal. When a loan is repayable by equal annual instalments of principal, to find the principal sum payable each year we 41 ; 320 ACCOUNTING IN THEORY AND PRACTICE have merely to divide the total loan by the number of years. The interest each year is merely the interest on the capital outstanding at the beginning of the year. For the sake of comparison with the figures already given, the foUowing schedules are shown, together with specimen Ledger entries in the books of the boiTower. SCHEDULE No. III. Showing the Payment of Interest and Capital or a Loan OF £1000, repayable in Six Years by Equal Annual Instalments of Principal of £166:138. 4d. Interest, 5 fer cent. Number of Instalment. Date when due. 1 2 8 4 S • 15th May 1899 Do. 1900 Do. Do. Do. Do. 1901 1902 1903 1904 Sum payable Interest ' Capital Capital out- Htauding after each year. payable. payable. Instalment paid. & t. d. £ t. d. £ «. d £ «. d. 216 13 4 50 166 13 4 833 (t 8 208 6 8 41 13 4 166 13 4 666 13 4 200 33 6 8 166 13 4 500 191 13 4 25 166 13 4 333 6 8 183 6 8 16 13 4 166 13 4 166 18 4 175 8 6 8 166 13 4 175 1000 SCHEDULE No. IV. Showing the Payment of Interest and Capital of a Loan OF £1000, REPAYABLE IN ThREE YeARS BY EquAL ANNUAL Instalments of Principal of £333 : 68. 8d. Interest, 5 'per cent. Number of Instalment. Date when due. 1 2 S Sum payable each year. 15th May 1899 Do. 1900 Do. 1901 £ 383 366 350 «. 6 13 Interest payable. £ 50 33 16 100 s. 6 13 Capital payable. £ 333 333 333 1000 s. 6 6 6 Capital out- standing after Instalment paid. £ 666 333 s. 13 6 LOANS REP A YABLE B Y INSTALMENTS 321 Borrower's Ledger Investment Company. 899. May 15. 1900. May 16. 1901. May 15. To Cash (capitel) £333 ,, do. (interest) 50 ,, do. (capital) 333 ,, do. (interest) 33 ,, do. (capital) 333 ,, do. (interest) 16 6 6 6 6 13 8 8 8 8 4 1898. May 15. 1899. May 15. 1900. May 16. 1901. May 16. By Cash . ,, Interest ti do* . £1000 60 33 16 6 13 8 4 £1100 £1100 Squaring off the books at 15 th May in each year, the above Ledger Account would show the amount of principal due at that date annually, as follows : — Investment Company. 1899. May 15. To Cash (capital) £333 6 8 ,, do. (interest) ; ,, Balance . . 666 13 4 £1050 1900. May 15. To Cash (capital) £333 6 8 ,, do. (interest) 33 6 8 „ Balance . . 333 6 8 £700 1901. May 16. To Cash (capital) £333 6 8 „ do. (interest) 16 13 4 > 1898. May 15. By Cash . 1899. May 16. ,, Interest 1899. May 16. By Balance 1900. May 15. ,, Interest 1900. May 16. By Balance 1901. May 15. ,, Interest £350 £1000 50 £1050 £666 13 4 33 6 8 £700 £333 6 8 16 13 4 £350 If the borrower closes his books on the 31st December in each year, the following would be the Ledger Account : — Y il 322 ACCOUNTING IN THEORY AND PRACTICE REDEMPTION OF LEASES 323 M Investment Company. 1898. Dec. 31. To Balance . £1031 10 2 £1031 10 2 1899. May 15. To Cash (capital) £333 6 8 ,, do. (iuterest) 50 Dec. 31. ,, Balance . . 687 13 5 £1071 1 1900. May 15. To Cash (capital) £333 6 8 ., do. (interest) 33 6 8 Dec. 31. ,, Balance . . 343 16 9 £710 10 1 1901. May 15. To Cash (capital) £333 6 8 do. (interest) 16 13 4 >• £350 1898. May 15. By Cash . Dec. 31. ,, Interest 1899. Jan. 1. By Balance May 15. ., Interest Dec. 31. ., do. 1900. Jan. 1. By Balance May 15. ,, Interest Dec. 31. ,, do. 1901. Jan. 1. By Balance May 15. ,, Interest . £1000 31 10 2 £1031 10 2 . £1031 18 21 10 9 2 10 1 £1071 1 . £687 12 10 13 6 10 5 7 1 £710 10 1 . £343 6 16 3 9 3 £350 _0 REDEMPTION OF LEASES There are three methods used for the purpose of making provision for those cases in which a slump sum has been paid down in respect of property held on leasehold, which will have to be abandoned at the end of the lease. The slump sum is paid in respect of the right to the use of an asset for a limited period. It is evident that the sum so paid must be written ofif during the period so that at the close no asset may appear in the books of the concern. The three methods are : — 1. To write off each year an equal proportion of the cost. 2. To set aside each year such a sum as accumulated at compound interest at a certain rate will amount at the end of the lease to the cost. 3. To consider the cost of the lease as the purchase price of an annuity-certain for the term of the duration of the lease. The first method has the advantage of simplicity, and is the same each year, but no account is taken of the fact that the money has been paid down, and that interest could have been earned upon it. Tlie second method is the Sinking Fund method, and the third method the Annuity Fund method. In actuarial symbols these methods are represented as follows : — First method = 1 n I Second method = Third method = — or — + i. The last method is the most scientific, and is theoreti- cally the most correct. To illustrate the three methods, take the case of £1000 paid down for a lease which has three years to run. By the first method £1000 divided by 3, which is £333 : 68. 8d., is set aside each year ; by tlie second method, on the assumption of 5 per cent., during the first year £317 : 4s. 2d. is set aside. In the second year this sum, together with interest upon it at 5 per cent, will be set aside, and during the third year interest will again be added. By the third method £367 : 4s. 2d. is set aside each year. The amount written ofif by the three methods each year is accordingly as follows: — First year Second year Third year First Method. Second Method. 1 Third Method. ', £333 6 8 333 6 8 333 6 8 £317 4 2 333 1 4 349 14 6 £367 4 2 367 4 2 367 4 2 £1000 £1000 £1101 12 6 The Ledger Account of the lease under the third method would be as follows : — <■ 324 ACCOUNTING IN THEORY AND PRACTICE ;!ll I' m\ Lease Account. 1900. Jan 1. To Cash . . £1000 Dec 31. „ Interesi 60 1901. Dec. 31. „ do. . 34 2 10 1902. Dec. 31. „ da . 17 9 8 £1101 12 6 1900. Dec. 31. By Profit and Loss £367 4 2 1901. Dec. 31. ,, do. 367 4 2 1902. Dec. 31. „ do. 867 4 2 £1101 12 6 By the second and third methods the net profit is the same. Under the third method the amount debited to the Profit and Loss Account in respect of the lease is greater than by the second method, but a sum is taken credit for in respect of interest on the outlay in connection with the lease. HIEE-PURCHASE SYSTEM OF ACQUIRING RAILWAY WAGGONS Colliery companies, as a rule, purchase railway waggons under a hire and purchase agreement by which the price of the waggons is paid by yearly instalments spread over from three to seven years, and the waggons only actually become the property of the colUery company on the pay- ment of the last instalment. There are two methods of treating such a transaction in the books of a colliery company. The transaction may be looked upon really as a purchase, but subject to the payment of the instal- ments as they fall due, or the exact letter of the contract may be given effect to in the books of the colliery company. Suppose that on the 1st January sixty waggons are purchased from the North British Waggon Co., Ltd., on the footing that they are to be paid for by five annual instalments of £600, being a total payment of £3000. It is quite evident that these instalments as they fall due and are paid by the colliery company cannot be charged altogether against Revenue or altogether to Capital. It is evident that each instalment consists of interest on the amount of the purchase price of the waggons outstand- THE HIRE-PURCHASE SYSTEM 325 in<» from time to time, together with a payment of capital to extinguish the purchase price. To find out what rate of interest should be taken as the basis of calculation it is necessary to ascertain as exactly as possible the price of the waggons on the assumption that cash was paid for them. If it is assumed that this cash price is £2597:138. 9d., from a table of annuities it is found that the rate of interest involved is 5 per cent, and the following schedule can then be prepared : — Schedule showing the division of Instalments for the purchase of waggons into principal and interest, the Annual Instalment for Five Years being £600, PAYABLE ON 31 ST DECEMBER, AND THE CaSH VALUE OF THE Waggons at date of agreement £2597 : 13s. 9d. Interesty 5 per cent Date when Instalment due. Interest. Principal. Principal out- standing after Instalment paid. £ t. d. £ s. d. £ 8. d. 3l8t December 1900 129 18 470 2 2127 11 9 Do. 1901 106 8 493 12 1633 19 9 Do. 1902 81 14 518 6 1115 13 9 Do. 1903 55 15 9 544 4 3 571 9 6 Do. 1904 28 10 6 571 9 6 2597 13 9 If the colliery company assume that the waggons are purchased outright, then immediately the agreement is signed and the waggons delivered the colliery company would credit the North British Waggon Co., Ltd., and debit the Railway Waggon Account, with £2597 : 13s. 9d. When the first instalment of £600 fell due the total amount would be posted from the Cash Book to the debit of the North British Waggon Co., Ltd., but at the same time a Journal entry would be made crediting the North British Waggon Co., Ltd., with £129 : 18s., the interest on the first instalment, and the Interest Account would be debited with this amount. The working of these two 324 ACCOUNTING IN THEORY AND PRACTICE THE HIRE-PURCHASE SYSTEM 325 Lease Account. 1900. Jan 1. To Cash Dec. 31. ,, Interest 1901. Dec. 31. 1902. Dec. 31. it do. da . £1000 50 84 2 10 . 17 9 8 £1101 12 _6 1900. Dec. 31. By Profit and Loss £367 4 2 1901. Dec. 31. „ do. 367 4 2 1902. Dec. 31. „ do. 867 4 2 £1101 12 6 By the second and third methods the net profit is the same. Under the third method the amount debited to the Profit and Loss Account in respect of the lease is greater than by the second method, but a sum is taken credit for in respect of interest on the outlay in connection with the lease. HIKE-PURCHASE SYSTEM OF ACQUIRING RAILWAY WAGGONS Colliery companies, as a rule, purchase railway waggons under a hire and purchase agreement by which the piice of the waggons is paid by yearly instalments spread over from three to seven years, and the waggons only actually become the property of the colliery company on the pay- ment of the last instalment. There are two methods of treating such a transaction in the books of a colliery company. The transaction may be looked upon really as a purchase, but subject to the payment of the instal- ments as they fall due, or the exact letter of the contract may be given effect to in the books of the colliery company. Suppose that on the 1st January sixty waggons are purchased from the North British Waggon Co., Ltd., on the footing that they are to be paid for by five annual instalments of £600, being a total payment of £3000. It is quite evident that these instalments as they fall due and are paid by the colliery company cannot be charged altogether against Revenue or altogether to Capital. It is evident that each instalment consists of interest on the amount of the purchase price of the waggons outstand- ing from time to time, together with a payment of capital to extinguish the purchase price. To find out what rate of interest should be taken as the basis of calculation it is necessary to ascertain as exactly as possible the price of the waggons on the assumption that cash was paid for them. If it is assumed that this cash price is £2597 :13s. 9d., from a table of annuities it is found that the rate of interest involved is 5 per cent, and the following schedule can then be prepared : — Schedule showing the division of Instalments fok the PURCHASE OF WAGGONS INTO PRINCIPAL AND INTEREST, THE Annual Instalment for Five Years being £600, PAYABLE ON 31 ST DECEMBER, AND THE CASH VaLUE OF THE Waggons at date of agreement £2597 : 13s. 9d. iTtterest, 5 per cent. Date when Instalment due. Interest. Principal. Principal out- standing after Instalment paid. 1 31st December 1900 Do. 1901 Do. 1902 Do. 1903 Do. 1904 £ 129 106 81 55 28 ». 18 8 14 15 10 d. 9 6 £ 470 493 518 544 571 s. 2 12 6 4 9 13 d. 3 6 9 £ 2127 1633 1115 571 8. 11 19 13 9 d. 9 9 9 6 2597 If the colliery company assume that the waggons are purchased outright, then immediately the agreement is signed and the waggons delivered the colliery company would credit the North British Waggon Co., Ltd., and debit the Railway Waggon Account, with £2597 : 13s. 9d. When the first instalment of £600 fell due the total amount would be posted from the Cash Book to the debit of the North British Waggon Co., Ltd., but at the same time a Journal entry would be made crediting the North British Waggon Co., Ltd., with £129 : 18s., the interest on the first instalment, and the Interest Account would be debited with this amount The working of these two ^El - ■- 316 ACCOUNTING IN THEORY AND PRACTICE accounts for the five years is shown in the foUowing exlple and it is further assumed that from the Waggon Account 6 per cent is written off each year for depreciation. t^arih British Waggon Co., Ltd. 1900. Dr^Jl. To Cash, first instalment. £600 „ Balance . . • 212/ 11 » 1900. Jan. 1 £2727 n 9 1901. Dec. 31. ToCash. second instalment £600 ,, Balance 1901. -,w-- ^-AXi. 1- 1633 19 9 Dec. 31. By Railway Waggon Ac- count, for sixty wag- gons purchased per agreement . • ^^597 13 » Dec. 31. ..Interest . . ' ^^9 18 £2727 11 9 £2233 19 9 1902. ^h. To Cash, third instataent £600 : .Jan 1. „ Balance . • '_____ £1715 13__9 =— ' I 1903. dT^I. ToCasLfourthinstalmont £600 ; J.^ 1. ,, Balance . • • "^^ ^ P,y Balance ,, Interest liy Balance ,, Interest By Balance ,, Interest . £2127 11 9 . 106 8 C £2233 19 9 . £1633 19 9 81 14 £1715 13 9 . £1116 13 9 55 15 9 £1171 9 6 1904. DeTsi. To Cash, fifth instalnient £600 £600 1904. Jan. 1. Deo. 31. By Balance ,, Interest £117 1^_J £571 9 6 28 10 6 £600 railway Waggon Account ; jir ^ To North British Waggon •* Co., Ltd., for sixty waggons purchased per agreement . • .*,a>»^iow £2597 13 9 DeTai. By Depreciation Account £155 17 7 ,. Balance . . • 2441 16 1901. Jan. 1 To Balance . £2441 16 2 £2441 16 2 Del?^31. By Depreciation Account £146 10 5 ,, Balance . • • ^^^^ THE HIRE-PURCHASE SYSTEM 327 Railway Waggm Accouid^Continued. 1902. Jan. 1. To Balance 1903. Jan. 1. To Balance 1904. Jan. 1. To Balance 1905. Jan. 1. To Balance £2295 5 9 £2295 5 9 1902 Dec. 31. By Depreciation Account ^137 14 „ Balance . . • -^lo* ^1 » . £2157 11 9 £2157 11 9 . £2028 2 9 £2028 2 9 . £1906 9 2 £2295 5 9 Dec°'^31. By Depreciation Account £129 9 ,, Balance . • . IM£6 ^ « £2157 11 9 1904. Dec 31 Bv Depreciation Account £121 13 7 Dec. 31. dy ^^g^^^^ . ^"^« Q '>■ £2028 2 9 1906 9 2 Suppose now that the transaction is looked upon by the colliery company more as a hire than a purchase, then the colliery company must still give effect to the fact that part of the price is in payment of the waggons, and that when the full price is paid the waggons ^ill have depre- ciated to the same extent as under the first method. The colliery company would have to treat part of the pnce as hire and part as payment of the waggons, and as the waggons would depreciate to the same amount as formerly, deprecia- tion would require to be written off each year of the same amount as by the first method, so that at the end of the five years the Kailway Waggon Account would have the same amount at its debit as by the first method. The portions of the instalments which by the first method were treated as interest are by the second treated as hire, and would be posted from the Cash Book to a Hire Account. The first method is undoubtedly preferable to the second, as it shows more clearly what is the practical effect of the agreement, although it may not so exactly follow out the letter of the contract. Under the second method the Kailway Waggon Account would appear as under. f 328 ACCOUNTING IN THEORY AND PRACTICE Railway Waggon Account. ^»oo. ... . . Dec. 31. To Cash, capital in first instalment paid to the North British Waggon Co., Ltd. . £470 2 £470 2 1900. Dec. 31. By Depreciation Account £155 17 7 ' T« r MIA A ft By Uep ,. Bafa Ance ! jln. '1. To Balance . . . £314 4 5 Dec 31. „ Cash, capitel in second instalment paid to the North British Waggon Co.. Ltd. . 493 12 £807 16 5 £661 6 . 314 4 5 £470 2 1901. Dec. 31. By Depreciation Account £146 10 5 By Dep; „ Bala iance • • . 661 6 1902. Jan. 1. To Balance . • .• Dec. 31. „ Cash, capital in third instalment paid to the North British Waggon Co., Ltd. . 618 6 £1179 12 £807 16 5 1902. Dec. 31. By Depreciation Account £137 14 „ Balance . . • 1041 18 £1179 12 j]r^*l. To Balance . . • £1041 18 Dec 31. ., Cash, capital in fourth instalment paid to the North British Waggon Co., Ltd. . 544 4 3 £1586 2 3 Dec. 31. By Depreciation Account £129 9 ,, Balance , . . 1456 13 3 J^^^'l. To Balance . ... £1456 13 3 Dec. 31. „ Cash, capital in fifth instalment paid to the North British Waggon Co., Ltd. . 671 9 6 £2028 2 9 £1586 2 3 1905. Jan. 1. To Balance . £1906 9 2 1904. Dec. 31. By Depreciation Account £121 13 7 „ Balance . • . 1S06 9 2 £2028 2 9 A simpler method than that given above is as foUows. Suppose that a colliery company has a lease of ten waggons for twenty years at aA annual charge of £30. If the present worth of the waggons is £^0 each, or £600 in all, and it is considered that at the end of twenty years, when the wacTgons will become the property of the colliery com- pany they will be worth £20 each, or £200 in all, and INVESTIGA TIONS 329 considering that during these twenty years there will be paid to the waggon company £600 in all, and that the value of the waggons at the end of twenty years wiU only be £200, it is evident that £400 must be charged to the Profit and Loss Account, or £20 per annum. The balance of the annual payment, namely, £10, goes to the Waggon Purchase Account, and at the end of the twenty years there will be £200 at the debit of this account, which will represent the value of the waggons. INVESTIGATIONS There is no branch of accounting in which the ability of an accountant to grasp business details, and also to appre- ciate the total effect of these details, has better play than in making investigations into business concerns, and in no branch of the profession is there wider scope for the exercise of special ability or genius as an accountant. For such work it is absolutely essential that the accountant should not only have received a good general education, but that he should have specially studied the subjects of mathematics and economics. In fact, if the accountant has made a special study of the higher mathematics, and has gone deeply into the problems of economics, he will find his work as an in- vestigator all the easier, and the results at which he will arrive, and the advice he will be able to give, will be aU the more exact and valuable. The purposes in connection with which an accountant may be called upon to make an investigation into the accounts of a concern are various, but may be shortly grouped under the following heads : — 1. Where a client is considering the advisability of pur- chasing or becoming a partner in a business. 2. Where it is proposed to convert a business into a limited liability company. . 3. Where the bankers, creditors, or shareholders of a busmess concern wish to have an independent investigation into the business. Ill r _ i L H H n [ i t r 1 1 i 1 s n 330 ACCOUNTING IN THEORY AND PRACTICE 4. On the death or retirement of a partner. 5. Where fraud is suspected. 6. Where it is necessary to ascertain the compensation to be awarded in respect of the compulsory acquisition by a corporation of business promises. 7. Where accounts have become confused from any cause. Investigations have frequently to be undertaken on behalf of a client who is considering the advisability of becoming a partner in a business concern. Without such an investigation the client might find, after he had become a partner, and when it was too late to retrieve his position, that the business he had joined on the faith of those per- sonally interested was hopelessly bad. The accountant steps in as an independent party, and after careful investigation is enabled to advise his client either to join the business on the terms proposed, to have these terms altered, or to have nothing whatever to do with the concern. In such in- vestigations it is the duty of the accountant not only to ascertain the solvency of the business, but its capabilities as a profit-earning concern, and one likely to meet the expec- tations of his client. Investigations have also to be made into businesses which it is proposed to convert into limited liability com- panies, and perhaps the work involved in no other branch of accounting has increased so rapidly within recent years as the work in connection with such investigations. The object of the investigation is to determine the profits earned for a period of years, and the accountant may also be asked to advise as to the capital which should be invested in the business, and upon other matters which enable the price to be given for the business to be fixed. The accountant some- times is simply employed to give a certificate of the profits for a period of years, but if this certificate is required for the purpose of floating the business as a company he should be careful not to grant a certificate of the average annual profits merely, if he finds that these profits have been steadily decreasing. In such a case he should reveal the true state of matters to his employers and to the public. In fact, all such certificates should state the profits earned INVESTIGA TIONS 331 during each year covered by the period of investigation. The accountant should be careful not to indulge in prophetic speculations as to the profit to be earned in the future, but should merely state the facts which he has ascertained as having prevailed in the past. In beginning such an in- vestigation the accountant should carefully compare the revenue accounts for the years available, with the view of seeing if the turnover and expenditure are constant each year, and where they are not he should ascertain the extent and cause of their varying. He should see how the ratio of the gross profit and net profit to turnover varies, and should be specially suspicious of any large increase in the ratio of net profit in the last year embraced by his investigation. Investigations have also to be made on behalf of creditors and shareholders of concerns which have not been successful, and it is then the duty of an accountant to ascertain the reasons of the want of success. In such investigations the accountant may have the disagreeable duty to perform of reporting upon the inefficiency or misconduct of some of the officials of the concern. Sometimes it is found that the directors are personally liable — as, for example, if they have paid dividends out of capital, have issued false Balance Sheets, or made representations to creditors knowing them to be false. Investigations have to be made into the estates of insolvent debtors, not only for the purpose of ascertaining how the business has become insolvent, but also very often for the purpose of finding out and recovering any assets which may have been parted with by the debtor to the detriment of the general body of the creditors. A debtor, for example, sometimes gives a preference to certain of his creditors, such as relations, and thereby defrauds his other creditors. There have been also many cases of insolvent debtors concealing their assets. Sometimes also it is found that fictitious liabilities are alleged by insolvent debtors, with the view of getting a lower rate of composition accepted. On the death or retirement of a partner it is usually advisable to have the books of the concern gone over by an accountant, in order that the representatives of the deceased illl II 332 ACCOUNTING IN THEORY AND PRACTICE partner or the retiring partner may be satisfied that the firm's affairs are being settled impartially, and in terms of the deed of co-partnery. When business premises are acquired by a corporation under the powers of an Act of Parliament, the amount of compensation to be paid to the owner of the business depends to a large extent upon the profit he has been earning, as it is this profit which has become endangered by the compulsory removal, and it is usually upon so many years' purchase of the average profit that the amount of compensation is based. Investigations also require to be made when accounts become confused either through incompetency, fraud, or, it may be, the death of those in charge of executries and trusts. Accounts which require to be investigated are, as a rule, in all states of incompleteness, and it is the duty of the accountant to place them upon a proper footing, so far as the particulars available will allow. Thus the books sub- mitted to an accountant may be kept by " single entry," as it is called, and the accountant will have to prepare such accounts as will enable him to frame a true Profit and Loss Account. Sometimes in trusts and executries the only in- formation available is of the most meagre description, and recourse has to be had to banks and others for statements of their accounts, and the Trust or Executry Accounts have to be framed from such material as can be thus obtained. Such matters involve much labour, and the resulting states are, of course, never so satisfactory and reliable as properly framed accounts. The accountant should satisfy himself that all the liabilities appear in the books. The Order Books, Invoices, and Purchases Day Book should certainly be examined for the last month or two, if it is impossible to examine them thoroughly. It should be seen that rents, rates, taxes, light, water, interests, and other fixed or periodical payments are fully charged up to date. In bankruptcy investigations the INVESTIGA TIONS 333 accountant should get, if at all possible, statements of their accounts direct from the creditors, together with particulars of any securities they may hold. It is usual to put a request for this in the notice calling the meeting of creditors at which the state of affairs is to be submitted. Assds. The accountant should be careful that the book debts in the Balance Sheet are correct in amount, and that all trade discounts are provided for. Sometimes the cash dis- counts are also provided for. The accounts due by customers should be divided into good, doubtful, and bad. The length of time a debt has been standing often indicates in which category it should be entered. A certain percentage may be written off for debts which may prove bad, but which are not definitely known to be either bad or doubtful. The past experience of the business in this respect will be the best guide. The stock sheets should be carefully checked, and if at all possible it is advisable to have independent valuations by outsiders. The arithmetical accuracy of all extensions and additions of the stock sheets should be carefully checked. The value of the plant and machinery should be certified by valuations made for the special purpose of the investiga- tion, unless there are valuations of recent date in existence which are of sufficient weight to be accepted. Fro fit afid Loss Account. The item of net profit is not by any means the most important item in a Profit and Loss Account. Accountants are often required to investigate the books and accounts of a concern with the view of ascertaining not only what the profit has been, but mainly with the view of advising how the profit may be increased in future. To facilitate such investigations the Profit and Loss Account must be modified from our usual notions of how it should be formed, and for 334 ACCOUNTING IN THEORY AND PRACTICE PERCENTAGE STATEMENTS 335 ill 11! I each diflerent business the most suitable form must be adopted. The margin of profit is now so very small, and competition in every branch of trade necessitates prices being cut so fine, that a merchant or manufacturer requires to know with exactness the cost of production and the expenses of managing his business, so that he may always be sure of earning a fair profit. The Profit and Loss Account of a business, properly arranged and classified, for a series of years enables any one comparing one year with another to ascertain the cause of any variation in the profits. The figures of a Profit and Loss Account standing alone are not easily grasped; and as in an investigation it is absolutely essential that the full significance of the figures of the revenue accounts should be appreciated, it is necessary to take advantage of every means by which these figures may be more easily compreliended. More especially is this the case with Profit and Loss Accounts for a series of years where the gross profit, charges, and net profit seem to go up and down without any apparent law, and it is only when the figures are reduced to some common ratio that the extent of such fluctuations can be ascertained, and the reason of such changes found out. The common ratio to which all the entries in a Profit and Loss Account are usually reduced is the percentage of the various items to either the sales or the cost of the goods used. It is a convenient method to show the percentage which each item in a Profit and Loss Account bears to the total sales or turnover in a column adjoining the items of income and expenditure. It is then possible to grasp the full significance of the figures and their relation to one another. One year's trading may be compared with that of another year or of several years, and any fluctuation becomes at once apparent, and its cause may be investigated. Sometimes it is desirable to show the percentages in a separate statement, more especially if two or more Profit and Loss Accounts are to be compared. PERCENTAGE STATEMENTS PREPARED FROM PROFIT AND LOSS ACCOUNTS It is not sufficient for a merchant or manufacturer to know merely the amount of the profit he has made during any period. He must know exactly how it has arisen, and ne ascertains this from the Profit and Loss Account and its various branches. In any business, when a series of such accounts for a number of years have been regularly prepared on the same basis, the reason of any variation in the profit can by comparison be ascertained, and any deficiency or weakness in the business located, and steps can then be taken to prevent further leakage. A merchant is thus enabled to lay his finger on the weak point in his business, and by taking action at once may avert ruin and disaster. A fall in net profit may be due (1) to a decrease in the turnover, (2) to a fall in the prices realised, or (3) to an increase in the cost, (4) a rise in the expenses of manage- ment, or (5) to a combination of these causes. To compare Profit and Loss Accounts for a series of years it is necessary to reduce the items of which they are made up to a common denominator, and this is accomplished by finding the ratio which each item in the series bears either to the sales or to the cost of the goods. A convenient way to do this is to calculate the percentage of sales or cost of goods which is gross profit, expenses, and net profit In most businesses it is better to take the sales or the turnover as the standard of comparison, while in others it is preferable to take the cost of goods. Sometimes the basis of comparison is the cost of each article produced. In the case of colliery companies the basis is usually the cost per ton of coal sold. When the percentages which the expenses, *^^he gross profit, and the net profit of a business amount to are considered, it is usually with reference to the selling price of the goods. Percentage statements are frequently also drawn up in relation to the cost price. Thus, suppose that the expenses of a business amount to 30 per cent of the } 336 ACCOUNTING IN THEORY AND PRACTICE turnover, aud a net profit is desired at the rate of 10 per cent of the turnover. These percentages together make 40 per cent, but it would not do to add 40 per cent to the first cost of an article in order to arrive at the price. If the selling price of the article be taken as £100, then the cost of the article is evidently £60, and the amount reserved for profit and expenses being £40, it is evident that the expenses and profit borne by each £1 of original cost is J§. £100 of cost must therefore bear ^§ X 100, = 66|^, so that, if a merchant wishes to make a net profit of 1 per cent on the selling price of an article, of which the original cost is 60 per cent and the expenses 30 per cent, he must add to the cost price 66§ to arrive at the selling price. Thus if the cost of an article is 58., if we add 40 per cent to this sum we have 7s., but as of this selling price of 7s. 30 per cent, or 2s. Id., is required for incidental expenses, we would really be selling the article at a loss of Id., or more exactly, IJd., and the more articles we sold the more we would lose. The proper selling price of the article is 8s. 4d., and of this 5s. is the original cost, 2s. 6d., or 30 per cent, is the amount required for incidental expenses, and lOd. is the amount of net profit. The treatment of such Items as Repairs in preparing Perceniage Statements. In adjusting Profit and Loss Accounts with the view of calculating percentages, such items as repairs, which fluctuate very much from year to year, should be averaged, and the same amount charged against profit each year. As the repairs actually incurred vary from year to year, if the same amount is debited each year to the Profit and Loss Account a balance will require to be carried forward in the Eepairs Account each year, which may either be on the debit or credit fide. This balance, if a debit one, will appear in the Balance Sheet as an asset under the head of " Eepairs paid in advance," or " Eepairs taken as an asset," and if a credit balance, among the liabilities under the heading of " Eeserve for Eepairs." PERCENTAGE STATEMENTS 337 To calcvlate a Series of Percerda/jes. When it is required to find the percentages which a number of figures, such as the expenditure items in a Profit and Loss Account, bear to one figure, such as the turnover, there are various ways in which a considerable amount of the labour involved may be saved. The resulting per- centages are not, as a rule, required to extend beyond two places of decimals, and the method of using four-place logarithms works out very satisfactorily. A very accurate method, and one involving Httle labour, is to prepare a table of the products of the divisor. Another method is to reduce the divisor to a decimal and multiply the different items by this figure, thus substituting one division and several multiplications for several divisions, division being a much more tedious operation than multiplication. The working of the three different methods is shown in the following example : — It is required to find the percentages which the different items on the expenditure side of the following Profit and Loss Account bear to the sales : — Profit and Loss Account of a Military Tailor and Clothier's Business for One Year. Expenditure, Income. To Cost of goods : — Stock at beginning of year . . £3165 Purchases during year 3073 By Sales i:i)199 £6238 Deduct — Stock at end of year . 3179 M Wages. £3059 2053 £5112 „ Gross profit carried down . . . 4087 £9199 £9199 338 ACCOUNTING IN THEORY AND PRACTICE PERCENTAGE STATEMENTS 339 Profit and Loss Account — Continued. ExpendUure. Income. i To Rent and taxes Trade charges Salaries Bad debts „ Net profit . £633 Jf40 263 120 £1356 2731 £4087 _0 By Gross profit brought down . . . £4087 £4087 The items on the expenditure side of the above Profit and Loss Account are as follows : — Cost of goods . Wages . Gross profit . Kent and taxes Trade charges Salaries . Bad debts Net profit £3059 2053 4087 633 340 263 120 2731 It is required to find the percentages which the above figures bear to the item of Sales, £9199. First Method. — Using four-place Logarithms. The working-out of the percentages of the different items, using four-place logarithms, will be seen from the following statement : — Name of Item Amount Logarithm of Amount. Adding "2-0863 to each figure in the previous colunm. Percentages to Sales. Cost of goods . "Wages Gross profit Rent and taxes Trade charges . Salaries . Bad debts Net profit £3059 2053 4087 633 340 263 120 2731 3-4856 3-3124 3-6115 2-8014 2-5315 2-4200 2-0792 3-4364 1-5219 1-3487 1-6478 •8377 •5678 -4563 •1155 1-4727 33-26 22-32 44-44 6-88 3-70 2-86 1-31 29-70 The first and second columns give the description of the item and the amount. The third column gives the logarithm of each amount. The fourth column is arrived at by adding 2 '03 63 to the figures in the third column. In order to find the percentage of any one of the items to Sales, we must multiply that item by , the 9199 being the 9199 amount of the sales, and the logarithm of 100 9199 is 20363, as follows : — 100 Logarithm ^^00 = logarithm 100 - logarithm 9199 ; = 2-3-9637, = 20363. 2*0363 is therefore added to each logarithm given in the third column, and the result, as given in the fourth column, is the logarithm of the percentage required. By finding the natural numbers of the logarithms in the fourth column the percentage to Sales is found. These percent- ages are not absolutely correct in the last figure of the decimal, but are usually sufficiently accurate for practical purposes. Second Method. — Using Tables of Products. The divisor is 9199, and to form a table of products it is only necessary to write the numbers from 1 to 10 under- neath each other. Opposite 1 put 9199; also place 9199 at the foot of a slip of paper; place it over the 9199 opposite the 1, and add it to the 9199, placing the sum opposite the 2 ; again add 9199 to the figure opposite the 2, which will give the figure to go opposite the 3, and so on. When 10 is reached, the accuracy of the intervening figures is at once proved by the figure opposite 10 being the same figure as that opposite 1 multiplied by 10. The table so produced is simply an extended multiplication table, and, instead of multiplying, reference is merely made to the table and the figures copied down. The working may be 340 ACCOUNTING IN THEORY AND PRACTICE Still further simplified by adopting the rules of contracted division, as shown in the second half of the figures given. The table of products in this case would be as follows : — 1 9199 3 18398 8 27597 4 36796 6 45995 6 55194 7 64393 8 73592 9 82791 10 91990 Using the above table of products, the working of the first half of the items, using the ordinary method of division, is as follows : — I Cost of goods. 9199)305900(33-253 27597 29930 27597 23330 18398 49320 45995 33250 27597 2. Wages. 9199)205300(22-317 18398 21320 18398 29220 27597 16230 9199 70310 64393 PERCENTAGE STATEMENTS 341 3. Gross profit. 4. Kent and taxes. 9199)408700(44-428 36796 9199)63300(6-881 55194 40740 36796 39440 36796 26440 18398 80420 73592 81060 73592 74680 73592 10880 9199 The working of the other half of the items, using con« tracted division and the table of products, is as follows : — 5. Trade charges. 6. Salaries. 9199)34000(3-696 27597 9199)26300(2-859 18398 6403 5519 7902 7359 884 828 543 460 56 55 83 S3 H 342 A ceo UNTING IN THEOR Y AND PRA CTICE 7. Bad debts. 8. Net profit. 9199)12000(1-304 9199 9199)273100(29-688 18398 2801 2760 41 S7 89120 82791 6329 5519 810 736 74 74 Thibd Method. — Reducing the Divisor to a Decimal and Multiplying. The divisor is 9199, and this reduced to a decimal is •0001087. Any of the items multiplied by this figure would give the amount per unit, and in order to get the amount per cent it is necessary to multiply this figure by 100. The different items are, therefore, multiplied by •01087, and the results are the percentages of these items to Sales. This method may be still further simplified by using the contracted method of multiplication, as shown in the working-out of the second half of the items. 1. Cost of goods. 2. Wages. 3059 •01087 •21413 2-4472 30-590 33-25133 • 2053 •01087 •14371 1-6424 20-530 22-31611 PERCENTAGE STATEMENTS 343 3. Gross profit 4087 -01087 -28609 3-2696 40-870 44-42569 4. Rent and taxes. 633 •01087 -04431 •5064 6-330 6-88071 Using the contracted method of multiplication, the working of the second half of the items is as follows : — 6. Trade charges. 340 •01087 6. 8. Salaries. Net pro 263 •01087 3400 272 24 2630 210 18 3-696 2-858 7. Bad debts. 120 -01087 fit. 2731 •01087 1200 96 8 27310 2185 191 1-304 29-686 Mp li i 344 ACCOUNTING IN THEORY AND PRACTICE Profit and Loss Account OF Military Tailor and Clothier Shotoing Percentages, Expenditure, Income, To Cost of goods . „ Wages Per Cent of Sales. 33-25 22-32 £3059 2053 By Sale* By Gross profit brought down . Per Cent of Sales. 100-00 £9199 „ Gross profit earned down . 55-57 44*43 £5112 4087 100-00 £9199 100-00 44*43 £9199 To Rent and taxes ,, Trade charges . ,, Salaries . „ Bad debts 6-88 3-70 2-86 1-30 £633 340 263 120 £4087 „ Ket profit 14-74 29-69 £1356 2731 44*43 £4087 44-43 £4087 In filling up the above statement the results by the second method have been adopted, as these are more correct than by the first method, although for practical purposes either of the other methods is usually quite satisfactory. Curves and Diagrams. For showing the rise and fall of purchases, sales, charges, gross profit, and net profit, the graphic method of demonstration is of considerable value. The study of such graphs enables those who have little knowledge of the relative values of numbers to grasp at once the trend of a series of figures. The graphic method of displaying com- parative results of all kinds in connection with commerce is of immense value. It is impossible to grasp the correct meaning of column after column of figures, and even when these are reduced to percentages the difficulty is still great. When, however, the figures are displayed in the form of RECONCILIATION STATEMENTS 345 diagrams or curves, their effect is at once apparent, and valu- able hints may be derived from the study of the resulting curves. The subjects to which this method may be applied are numerous, and of course the results vary considerably. Thus, in an engineering establishment the tons of coal consumed each month may be shown by taking a sheet of paper ruled into small squares, sometimes called logarithmic paper, through being used to a large extent for calculations in which logarithms are used. The vertical divisions may be taken to represent hundreds of tons, and the horizontal divisions to represent time in months. By this means the coal consumed may be compared one year with another, and the effect of the introduction of a new system of heating or a new kind of coal may be at once seen. In the event of the engine being stopped for any number of days this would require of course to be carefully noted, and duly allowed for. Where it is desired to arrive at an average in com- plicated cases, in which the paucity of the data makes other methods unreliable, the graphical method is of great assist- ance. The facts are recorded by small dots in pencil, and when these have been completed a curve is run through among these dots in ink, which forms the average. RECONCILIATION STATEMENTS When an accountant is employed to prepare Profit and Loss Accounts of a concern where such accounts have already been regularly prepared, either by the managers of the concern or by some other accountant, the resulting Profit and Loss Accounts often differ from those already in existence. In such cases it is of great advantage to have the new accounts reconciled with the old. In arbitration cases, for example, the accountants on the two sides may submit Profit and Loss Accounts which differ considerably, and it is of great advantage to have a concise statement showing exactly where the differences occur. The details of 346 ACCOUNTING IN THEORY AND PRACTICE RECONCIUATION STATEMENTS 347 the accounts may be very conveniently compared by placing the items of each account in parallel money columns with other two money columns showing the increase and the decrease opposite each item. By this means the items in which the two accounts differ are at once seen, and the differences are narrowed down so as to be readily discussed. The statement prepared should be such an one as counsel — who, as a rule, have little liking for figures — can readily comprehend, and if it is advisable that it should be lodged in process it should be such a statement as will appeal to the arbiter. Items which appear in one account for which there are no corresponding items in the other would be at once apparent, as well as items which were the same in both accoimts. From this statement a further statement could be prepared showing the differences, and explaining them in detail The accountant would then have state- ments to submit to his own counsel or to the arbiter show- ing exactly the differences and how they were accounted for. Thus, supposing the capital of a trust estate had been given as £8000, and that after you had examined the accounts you found that the capitjd amounted to £7897, you would have some such paragraph in your report as follows : " The amount of the capital of the estate as given by the defenders is £8000, the amount of the capital as shown in the abstract appended to this report is £7897, a decrease of £103, which is accounted for thus: — "The following payments which have been charged against Kevenue should be charged against Capital : — "June 30. Duplicand in connection with the London Eoad property ** July 3. Law expenses in connection with the allocation of Oswald Street feu- duty " 1 4. Cost of new pavement at London Koad property required by local authority ..... " Decrease as above . £40 3 60 £103 0" A Reconciliation Statement in connection with a firm's profits, prepared for the information of counsel, is also sub- mitted. Statement prepared by John Scott, C.A., for the infor- mation of Counsel, reconciling the Net Profit of the firm of Messrs. Craig & Young for the year, as shown in the Statement prepared by the Claimant's Accountants, with the true Net Profit. Profit for year, as per statement submitted by firm's accoimtants .... £2047 8 9 Deductions : — Bent of premises, as per Valua- tion Boll, which should be charged .... £120 Depreciation on furniture, fittings, machinery, etc. Sum included under dona- tions, but really chargeable as expenses 50 1 12 7 £171 12 Provision for bad debts : — 5 per cent on £16,0 2 2 6s.5d.of sales .... 801 2 3 £972 14 10 Additions :— Donations and charities, sum charged before arriving at net profit given above £61 19 1 Bad debts actually incurred . 185 9 Carry forward £247 8 1 £972 14 10 £2047 8 9 348 ACCOUNTING IN THEORY AND PRACTICE Brought forward £247 8 1 £972 U 10 £2047 8 9 New packing machine, pur- chased 5th January, and debited errone- ously to Charges 120 16 Interest on bonds for £1900 over buildings, de- bited errone- ouslytoCharges 78 AUDITORS' DUTIES AND RESPONSIBILITIES 349 446 4 1 526 10 9 True net profit as certified by ac- countant £1520 18 THE DUTIES AND KESPONSIBILITIES OF AN AUDITOR The duties and responsibilities of an auditor are to a large extent undefined, but the tendency of recent decisions is to make an auditor's responsibilities much greater than formerly. It is the auditor's duty to conscientiously employ every faculty, and exercise every precaution, to the utmost of his ability, in conserving the rights of his clients and arriving at the true results disclosed by his examination and audit of the accounts submitted to him. His report on his examination should be prepared with the utmost impartiality, and he should see that his clients are thoroughly informed upon all important matters which may have arisen in the course of his work. The examination of accounts by an auditor is undertaken for the following purposes : — 1. To detect any error, whether of omission or commission. 2. To see that the accounts are so stated as to give all information required for economical management and organisation, and to expose any extravagance to those interested. 3. To ascertain that all regulations of a financial kind, whether contained in Acts of Parliament, deeds of co-partnery, agreements, resolutions, or other regula- tions which apply to the accounts under examination, have been properly complied with. 4. To certify the accuracy of the accounts. The auditor should inspect all vouchers, contracts, securities, and other evidence which instruct the receipts and payments. All vouchers should be initialled in red ink or stamped to prevent their being used again. No voucher for a payment should be accepted of which the details are not known or given, but which merely states " to balance due." It is sometimes necessary to examine the paid cheques, both as to date and endorsation, to see that a pay- ment was really made to the proper party at the time stated. The auditor should also have produced to him satis- factory vouchers in support of the various assets in the Balance Sheet, both as regards their existence and the value put upon them. He should personally inspect and initial all bonds, stock certificates, and other evidence of the exist- ence of the assets. The values put upon all stocks and shares can be readily verified by reference to the published lists which the auditor should keep filed in his ofi&ce. It is one of the auditor's most important and most difficult duties to see that suitable provision is made for all probable losses, that proper reserves are made, and that all sinking funds have the proper sum placed to their account. An auditor should be specially careful that nothing which should be charged to Revenue has been capitalised, and that an adequate sum has been charged against Revenue for depreciation. Such assets as preliminary expenses, expiring patent rights, and goodwill should be carefully scrutinised in order to determine that they have been in the past sufficiently written down, and that the value put upon them is reasonable. The auditor should also see that full provision has been made for bad debts, discounts, etc. He should also satisfy himself that all accrued liabilities in respect of rent, taxes, wages, etc., have been provided for. He should see that stock has been taken at cost, and that iiii % \ 350 ACCOUNTING IN THEORY AND PRACTICE all assets are fairly stated and every liability included in the Balance Sheet 'if -I First Audits, In auditing the accounts of a business for the first time the auditor should have submitted to him a complete list of the books kept, and he should prepare a list giving the titles of the books, particulars of the period covered by the entries in the books, and the name of the clerk or clerks in charge of each book. In making investigations it is a very good plan for an accountant to initial or stamp each book in some corner where his initials will not be readily seen, but by means of which he will be able to tell at any future time that he has examined the book. It is well also for an auditor or his clerks to initial or stamp all vouchers, securities, contracts, or other important papers produced to him, as he is thus enabled to identify at any future time any books or documents which have passed through his hands. Cash on Hand, Where the cash on hand is not regularly paid into bank, so that only a nominal sum appears on hand, the auditor should actually count the cash on hand on the day of the balanca If he does not do so he should check it on the day of his audit by getting the Cash Book written up to date, auditing the entries that have been made since the close of the accounts, and counting the cash on hand on the day of his audit The first thing an auditor should do in entering upon his duty of audit of a business is to reconcile the Bank Account with the Bank Pass Book and the certificate of the bank balance signed by the bankers. Partnership Accounts, In auditing the accounts of a partnership the auditor should, to begin with, obtain possession of the deed of co-partnery, and make an exact copy of it for his use in AUDITORS* DUTIES AND RESPONSIBILITIES 351 future. He should then prepare short notes on the contract showing the financial regulations which will re- quire to be given effect to. These notes should show the capital subscribed by the partners, the allocation of the profits, the allowance of interest on the partners* Capital Accounts, any limitation of partners' drawings, the date upon which the books are to be balanced, and any stipula- tion as to the period within which the accounts are to be docquetted as correct and accepted by the partners. The auditor should also take note of the duration of the co- partnery, together with the method of its dissolution. These notes are meant to be referred to at each period of balance, and obviate the necessity of reading over the whole contract at each audit. It is the auditor's duty to see that the accounts are prepared exactly on the lines laid down in the contract, and where any deviation is necessitated it is his duty to get the sanction of the members of the co-partnery. When slight alterations are made on a contract it is convenient to get the partners to sign a short minute endorsed on the deed of co-partnery. Companies. In a company audit it is the duty of the auditor to peruse the Prospectus, Memorandum and Articles of Association of the company, together with the minutes both of the directors and of the shareholders' meetings, to see that they contain authority for any of the transactions of the company requiring such authority. The accounts must be prepared in conformity with the regulations of the company, whether these are contained in a special Act or the general Companies Acts. In the case of a first audit, the books relating to the issue of the share capital should be carefully checked with the applications for shares and the letters of allotment which will have been returned to the company in return for the share certificates. The counter- foils of the share certificates should also be checked. All transactions in connection with the share capital, whether in the allotment book or in the register of i 352 ACCOUNTING IN THEORY AND PRACTICE I i\ transfers, should be recorded in the minutes of the directors. The item of preliminary expenses, as a rule, requires to be carefully scrutinised. Preliminary expenses consist of the law expenses in connection with the preparation of the Memo- randum and Articles of Association, printing these and the Prospectus, issuing the Prospectus, expenses of registration, brokerage or under-writing, stamp duties, etc., which are directly incurred in floating the company. Preliminary expenses should be written ofiF as soon as possible. Where the title-deeds and other securities instructing the assets of a company are, as is usual, in the custody of the law agents of the company, the auditor, in addition to satisfying himself that the deeds are in existence, should get a list of all such deeds from the law agents, with a certificate appended stating that they are in order, and are held by them for the company. On the completion of the audit the auditor makes his report to the shareholders in terms of the Companies Consoli- dation Act, 1908, sec. 113, or any special Act applicable. The shareholders are entitled to rely on their auditor to protect their interests, and his acceptance of office involves his acceptance also of the responsibility of acquainting them with such facts as they ought to be put in possession of. Partial Audits, Sometimes an auditor is instructed only to make a partial audit of accounts, and it may be left to him to determine on his own judgment what he should do. In such a case the additions of all the books of original entry should be verified. Journal entries should be carefully scrutinised, and the posting of all goods, revenue, and property accounts should be checked. The Cash Book should, if at all possible, be fully vouched. Where the posting of personal ledgers is not checked, the auditor should endeavour to get the books put upon such a system as will enable him to make the personal ledgers self- balancing by abstracts of them being kept in the General Ledger. In many large concerns it is obviously impossible and inexpedient to check thoroughly at each audit the m A UDITS 353 whole transactions, and the auditor should therefore vary his work from time to time. This will have the same moral effect upon the stafif as a complete audit, as they will be uncertain as to which portion of the work will next come under the close examination of the auditor. AUDITS Commercial Accounts. The steps in the audit of the usual run of commercial accounts may be shortly set forth as under : — Reconciliation of Bank Pass Book with Bank Account and amount shown in Ledger. Examination of the vouchers of the Cash Book as to date, amount, sufficiency of voucher and dis- charge, correctness of entry, specially distinguish- ing between Revenue and Capital. Examination of Travellers' Cash Books, Petty Cash Books, Postage Books, and wages sheets. Summation of Cash Book. Invoice Book. Day Book or Sales Book. Bill Book, bills receivable, accommodation bills. Journal for opening and closing entries. Depreciation. The posting should be checked from the Ledger Accounts outwards, if not of all, certainly of the Profit and Loss and Property Accounts. Examination of stock sheets, securities, title-deeds, etc. Comparison of Profit and Loss Account and Balance Sheet with those of previous years. Preparation of report on audit, giving, where necessary or advisable, percentages. Office Regulaticms to prevent Fraud, The following office regulations have been framed with the view of preventing loss through fraud, and have been found in practice to work satisfactorily : — 2 A 354 ACCOUNTING IN THEORY AND PRACTICE Cash received to be paid into bank daily. All payments to be made by cheque wherever practic- able. The cashier not to keep the personal ledgers. Counterfoil receipt books to be used, and receipts given for all cash received. Vouchers to be produced for all payments. Cash to be balanced daily, and details of cash shown in book kept for the purpose. Invoices for goods purchased to be initialled as correct by the receiver of the goods, and by the person who ordered them. Accounts, wages sheets, and statements of pajrments to be initialled by a partner before being paid. The extensions of all invoices for goods sold to be checked before the invoices are sent out. Clerks in charge of personal ledgers to be changed. Cashier and clerks to take their regular holidays, and in their absence their work to be done as usual by other clerks. AVERAGE DUE DATE When sums are due at various dates it is often desir- able, instead of paying the sums at the dates when they fall due, to find the date upon which the total sum may be paid so as to equitably give effect to the various dates upon which the various portions of the total sums are payable. This date is called the average due date, or the equated time. To calculate the average due date upon WHICH the total OF SEVERAL SUMS FALLING DUE AT VARIOUS DATES SHOULD BE PAID, FIX UPON ANY ONE OF THE VARIOUS DATES, AND MULTIPLY THE VARIOUS AMOUNTS BY THE NUMBER OF DAYS BETWEEN THIS DATE AND THE DATES UPON WHICH THE SUMS FALL DUE : DIVIDE THE SUM OF THESE PRODUCTS BY THE SUM OF THE AMOUNTS, AND THE RESULT IS THE NUMBER OF DAYS BETWEEN THE DATE FIXED UPON AND THE AVERAGE DUB DATE. The reason why one of the various dates is AVERAGE DUE DATE 355 taken as the date to start from is that by doing so one multiplication is saved. In practice it is usual to count either from the first date forwards or from the last date backwards. Thus, suppose a sum of £1000 is payable as follows : — £250 on 1st February, £50 on 21st March, £500 on 20th May, and £200 on 30th May; the average due date, or the equated time, upon which the £1000 should be paid is 22nd April. The dates, amounts due, days, and products may be arranged very conveniently in a tabular statement, as follows : — I Date. February 1 March 21 May 20 30 Amount due. Days from 1st February. £250 50 500 200 £1000 Product. 48 108 118 2,400 54,000 23,600 80,000 Dividing 80,000 by 1000 gives 80 days from 1st February as the equated time. This may be proved as follows : — The last sum of £200 is not due until 118 days from the 1st of February, therefore interest on £200 for 118 days must be taken into account; but interest on £200 for 118 days is the same as interest on their product namely £23,600, for one day. SimHarly, the total mterest on the £1000 payable on the dates above from the 1st of February to these dates is the same as interest on the total of the products, namely £80,000, for one day; but interest on £80,000 for one day is the same as interest on £1000 for ?^ days, which is equal to 80 days. Eighty days added to 1st February gives as the equated time upon which the £1000 should be paid 22nd April That this is the correct time may be shown either by actuaUy working out the interest on the various sums payable on the various dates, and showing that it is M '*! 3S4 ACCOUNTING IN THEORY AND PRACTICE Cash received to be paid intx) bank daily. All payments to be made by cheque wherever practic- able. The cashier not to keep the personal ledgers. Counterfoil receipt books to be used, and receipts given for all cash received. Vouchers to be produced for all payments. Cash to be balanced daily, and details of cash shown in book kept for the purpose. Invoices for goods purchased to be initialled as correct by the receiver of the goods, and by the person who ordered them. Accounts, wages sheets, and statements of payments to be initialled by a partner before being paid. The extensions of all invoices for goods sold to be checked before the invoices are sent out. Clerks in charge of personal ledgers to be changed. Cashier and clerks to take their regular holidays, and in their absence their work to be done as usual by other clerks. ¥ fl; . AVERAGE DUE DATE When sums are due at various dates it is often desir- able, instead of paying the sums at the dates when they fall due, to find the date upon which the total sum may be paid so as to equitably give effect to the various dates upon which the various portions of the total sums are payable. This date is called the average due date, or the equated time. To calculatb the average due date upon WHICH THE TOTAL OF SEVERAL SUMS FALLING DUE AT VARIOUS DATES SHOULD BE PAID, FIX UPON ANY ONE OF THE VARIOUS DATES, AND MULTIPLY THE VARIOUS AMOUNTS BY THE NUMBER OF DAYS BETWEEN THIS DATE AND THE DATES UPON WHICH THE SUMS FALL DUE : DIVIDE THE SUM OF THESE PRODUCTS BY THE SUM OF THE AMOUNTS, AND THE RESULT IS THE NUMBER OF DAYS BETWEEN THE DATE FIXED UPON AND THE AVERAGE DUE DATE. The reason why one of the various dates is AVERAGE DUE DATE 355 taken as the date to start from is that by doing so one multiplication is saved. In practice it is usual to count either from the first date forwards or from the last date backwards. Thus, suppose a sum of £1000 is payable as follows : — £260 on 1st February, £50 on 21st March, £500 on 20th May, and £200 on 30th May; the average due date, or the equated time, upon which the £1000 should be paid is 22nd April. The dates, amounts due, days, and products may be arranged very conveniently in a tabular statement, as follows ; — I Date. February 1 March 21 May 20 30 Amount due. Days from Ist February. £250 50 500 200 £1000 48 108 118 Product. 2,400 54,000 23,600 80,000 Dividing 80,000 by 1000 gives 80 days from 1st February as the equated time. This may be proved as follows : — The last sum of £200 is not due until 118 days from the 1st of February, therefore interest on £200 for 118 days must be taken into account; but interest on £200 for 118 days is the same as interest on their product namely £23,600, for one day. SimHarly, the total interest on the £1000 payable on the dates above from the Ist of February to these dates is the same as interest on the total of the products, namely £80,000, for one day; but interest on £80,000 for one day is the same as interest on £1000 for ^-^^ days, which is equal to 80 days. Eighty days added to 1st February gives as the equated time upon which the £1000 should be paid 22nd April. That this is the correct time may be shown either by actually working out the interest on the various sums payable on the various dates, and showing that it is 356 ACCOUNTING IN THEORY AND PRACTICE \ equal to the interest on the £1000 payable on 22nd April, or it may be proved by showing that the products of the sums payable before the equated time equal those payable after the equated time, as follows : — Sums deferred. Days to 22nd ApriL Product. February 1. £250 March 21. 50 80 82 20,000 1,600 21,600 Sam paid in advance. Days from 22nd April. Product. May 20. £500 30. 200 S8 88 14,000 7,600 21,600 Exercises. 1. What is the average due date of the following, viz. July 12 24 Aug. 16 23 £300 100 90 250 £740 2. The following sums are due by and to a merchant on the dates given. When should he send his cheque in settlement of the balance ? Due by Merchant. Jan. 4 . . £600 Feb. 2 . .200 28 . . 500 Due to Merchant. Jan. 15 . . £100 Feb. 1 . .300 XNTEKEST ON CUKEENT ACCOUNTS Interest is very often charged on the debit balances and allowed on the credit balances of current accounts. INTEREST ON CURRENT ACCOUNTS 357 Thus, in the case of a trust estate the factor might charge the trust interest, say at 5 per cent or at bank overdraft rates, on all monies advanced by him, and might aUow the trust interest at, say 2 per cent or at bank deposit receipt rates, on sums belonging to the trust in his hands. There are various ways in which current accounts with interest are stated, but the working-out of the various methods are either performed by means of interest tables or by products, as now shown. Let the following be taken as an example of a current accoimt : — John Smith, Current Account, June 1. To Balance July 1. ., Goods . Aug. 4. do. Oct. 3. ., do. . Dec. 4. ,, do. . £100 . 300 . 200 . 400 . 150 July 5. By Cash Aug. 12. ., do. Nov. 9. .. do. Dec. 12. ,, do. £250 300 350 100 The methods in which the account may have interest charged on it are as follows: — I. — ^UsiNG Interest Tables June 1 July 1 Aug. 4 Oct. 3 Dec. 4 81 Jan. 1 To Balance ,, Goods . , , do. ,, do. . , , do. ,, Interest 100 300 200 400 150 5 To Balance 5 Days. £ <. d. i 213 183 149 89 27 1155 5 5| Form I. Interest per Tables. 155 5 5| 6 >. d. 2 18 4^ 7 10 5 4 1 7| 4 17 6i 11 U July Aug. 12 Nov. 9 Dec. 12 31 >) 19 19 Of By Cash . , , do. ,, do. . ,, do. . Balance of interest ,, Balance, includ- ing in- terest . £ 250 300 350 100 «. d. Daya. 179 141 52 19 155 5 5| 1155 5 5| Intereat per Tables. £ $. d. 6 2 7i 5 15 10| 2 9 lOi 5 2i 5 5 51 19 19 Of 358 ACCOUNTING IN THEORY AND PRACTICE INTEREST ON CURRENT ACCOUNTS 359 In the above example interest is charged at the rate of 5 per cent on the debit items and allowed at the same rate on the credit items up to 31st December. The difference between the two interest columns gives the interest due on the whole account for the year. Another way of arriving at the same result is by cal- culating interest on the balances from day to day. The account would, in this case, appear as follows : — Form II. Foi-m II L Days. Interest l)er Tables. June 1. July 1. To Balance ,, Goods By Cash . To Goods By Cash . To Goods By Cash . To Goods By Cash . To Interest Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. • £100 300 30 4 30 8 52 37 25 8 19 £0 8 2| 5. £400 250 4 4i Aug. 4. £150 200 12 4 12. £350 300 7 8i Oct. 3. £50 400 7 li Nov. 9. £450 350 2 6 7i Dec. 4. £100 150 6 10 12. £250 100 5 5i 31. £150 5 5 5i 7 9} Balance due £155 5 5| £5 5 52 II. — By means of Products The other method of calculating interest is by means of products, and the foregoing example, with interest calcu- lated in this way, would appear as follows : June 1 July 1 Aug. 4 Oct. 3 Dec. 4 81 To Balance Goods . do. . do. . do. . Interest Jan. 1 £ 100 300 200 400 150 5 5 d. 5i Days. 1156 6 5| 213 183 149 89 27 Products. 21,300 54,900 29,800 35,600 4,050 July Aug. 12 Nov. 9 Dec. 12 31 145,650 To Balance 155 5 5i By Cash . ,, do. . ,, do. . , . do. ,, Balance of interest numbers ,, Balance, includ- ing in- terest . £ 250 aoo 350 100 s. d. Days. Prodttcta. 179 141 52 19 155 6 5| 1155 5 5i The rule for arriving at the interest by means of pro- ducts is as follows : — Multiply each item in the account by the number of days from its date to the date of settlement, or to any given date to which it is desired to find the interest. Take the balance of the products, multiply by twice the rate per cent, and divide by 73,000. This gives the interest on the account. If the interest on the debit and credit sides is at different rates, the multiplication by twice the rate should be performed on the totals of the two sides, and thereafter the balance should be divided by 73,000. In the example given the balance of interest numbers is 38,500. Twice the rate per cent, which is 5 per cent, is 10. Then 38,500 multiplied by 10 gives 385,000. Dividing 385,000 by 73,000 we get £5 : 5s. 5fd., as foUows, using contracted division : — 44,750 42,300 18,200 1,900 38,500 145,650 36o ACCOUNTING IN THEORY AND PRACTICE INTEREST ON CURRENT ACCOUNTS 361 73000)385000(5-2739 = £6 : Ss. 6jd. 365000 20000 14600 5400 5110 290 219 71 66 Working out this example by products, but taking the balances from day to day, the account would appear as follows: — FcmnlV. Days. Product*. June 1. July 1. To Balance „ Goods By Cash . To Goods By Cash . To Goods By Cash . To Goods By Cash . To Interest Dr. Dr. Dr. Dr. Dr. Dr. Dr. Dr. iue. £100 300 30 4 30 8 52 37 25 8 19 3,000 5. £400 250 1,600 Aug. 4. £150 200 4,500 12. £350 300 2,800 Oct. 3. £50 400 2,600 Nov. 9. £450 350 16,650 Deo. 4. £100 150 2,60u 12. £250 100 2,000 81. £150 5 5 5f 2,850 Balance c £155 5 5| 38,500 USING INTEREST TABLES John Smith — Current Accauni. Interest at 5 per cent on Debit Items, and 3 per cent on Credit Items. Days. Interest at 6 per cent per Tables. Days. Interest at 8 per cent per Tables. £ i. d. A $. d. £ $. d. £ s. d. June 1 To Balance 100 213 2 18 4^ July 5 By Cash . 250 179 3 13 64 3 9 6i 1 9 lOS 3 U July 1 Aug. 4 Oct. 3 ,, Goods . 300 183 7 10 5 Aug. 12 „ do. . 300 141 ,, do. . 200 149 4 1 7J Nov. 9 „ do. . 350 52 ,, do. . 400 89 4 17 6i Dec. 12 „ do. . 100 19 Dec. 4 ,, do. . 150 27 11 U 31 ,, Balance 31 ,, Interest To Balance 11 2 m of interest ,, Balance 161 2 Hi 11 2 Hi 1161 2 lU 19 19 0| 1161 2 Hi 19 19 0| Jan. 1 161 2 Hi BY MEANS OF PRODUCTS John Smith — Current Account. Interest at 5 per cent on Debit Items, and 3 per cent on Credit Items. Days. Products. Days. Products. June 1 July 1 Aug. 4 Oct. 3 Dec. 4 31 To Balance ,, Goods . ,, do. . ,, do. . ,, do. . „ Interest To Balance £ 8. d. 100 300 200 400 150 11 2 11 213 183 149 89 27 21,300 54,900 29,800 35,600 4,050 July 5 Aug. 12 Nov. 9 Dec. 12 81 By Cash . ,, do. . ,, do. . >. do . ,, Balance of interest numbers ,, Balance £ $. d. 250 300 350 100 161 2 11 179 141 52 19 44,750 42,300 18,200 1,900 145,650 10 107,150 6 1,456,500 642,900 813,600 1161 2 11 1,456,500 1161 2 11 1,456,500 Jan. 1 161 2 11 362 ACCOUNTING IN THEORY AND PRACTICE In Forms I. to IV. given, interest has been charged and allowed on the debit and credit items at the same rate. Very often, however, interest at one rate is charged on the debit items, and interest at another rate on the credit items. Suppose that 5 per cent is to be charged on the debit items and 3 per cent on the credit items, then the account would appear as given on the previous page. The calculation by interest tables is very simple, as 3 per cent is merely substituted instead of 5 per cent. The working by products is slightly different. After obtaining the total of the products on the debit and credit sides, namely 145,650 and 107,150, the total of the debit side is multiplied by 10, being twice the rate per cent, which is 5 per cent for debit items, and the total of the credit side is multiplied by 6, being twice the rate per cent which is 3 per cent for credit items. The balance of pro- ducts, namely 813,600, is divided by 73,000, which gives £11 :2s. lid., as follows: — 73000)813600(1M45 = £11:23. Ud. 73000 83600 73000 10600 7300 3300 2920 380 365 In this case, where the rates of interest charged and allowed are different, there occurs a difierence of Jd. between the interest per the tables and that calculated by products. The interest as calculated by products is the more correct method, because fractional parts are not taken into account in the interest tables. DECIMALS OF £i 363 RULE FOR EXPRESSING SHILLINGS, PENCE, AND FARTHINGS AS DECIMALS OF £1. In the first decimal place put the number of florins contained in the given number of shillings. If there be an odd shilling put 5 in the second place. Reduce the pence and farthings to farthings, and put the number in the third place, or the second and third places if it be ten or more, adding 1 if the amount be 6d. or more. The first three decimal places are now complete. To complete the fraction it only remains to divide the pence and farthings, expressed as the decimal of a penny, by 6, and insert the quotient in the fourth and following places. If the pence and farthings are 6d. or more, deduct 6d before dividing, for otherwise the first figure of the quotient would be 1, belonging to the third place, which has been allowed for already. li Eocamples. L— £3 :16s. Sjd. Integer, £3 = £3 1st decimal place, 16s. =8 florins = 2nd and 3rd decimal places, 5jd. =21 farthings = 4th and following places, 5*25 -i- 6 = which is the decimal required. •8 •021 •000875 £3-821875 II.— £8: 19s. 8fd. Integer, £8 1st and 2nd decimal places, 19s. = 9 florins and Is. 2nd and 3rd decimal places, 8|d. = 35 farthings, and add 1 4tb and following places, 8*75, less 6, and divide by 6 the decimal required. = £8 = -95 = -036 = -000458333 . £8-9864583 364 ACCOUNTING IN THEORY AND PRACTICE m.— £3:198. 7-738(1. Here multiply the fraction of a penny by 4 to bring it to farthings, -738(1 = 2-952 farthings. Now proceed as before : — Pounds and shilKngs =£3*95 Pence and farthings, 28 + 2-952, and add 1 = -031 952 Addendum, 7738, less 6d., and divide by 6 = -0002896666 . . £3-9822416 To express Dectmals of a Pound in Shillings and Pence, To transform a sum in decimals into pounds, shillings, and pence the simplest course is first to extract the pounds and shillings, and then multiply the remainder of the fraction by 240, to bring it to pence. Take the same three examples: — I.— £3-821875 3-8 = £3 16 * This is evidently be- * 021875 tween 5d. and 6d., for by the 1 2 rule 5d. is 020 ... and 6d. •025 -2625 20 5-26 5J XL— £8-9864585 8-95 £316 5 J = £8 19 ♦ This is evidently be- ♦ 0364583 tween 8d. and 9d., for 8d. is 12 •033 .. . and 9d. is 037 . . . -4375000 20 8-750 -008} £8 19 8} LOGARITHMS 365 TIL— £3-9822416 3-95 • This is evidently be- tween 7d. and 8d., for 7d. is -029 and 8d. is '033 ♦•0322416 12 •3869000 20 7-738 = £3 19 7-738 £3 19 7-738 FOUK-PLACE LOGARITHMS The theory of logarithms can only be understood by those who have a knowledge of the algebraic laws of indices, but logarithms may be used by all having a knowledge of the elementary rules of arithmetic. If N and x be numbers, and N = 10' then X is the logarithm of N to base 10, and is the index of the power to which the base must be raised in order to produce the number. Thus, if N = 100, we have 100 = 102, and 2 is the logarithm of 100 to the base 10. The base of the common table of logarithms is 10. The logarithms of multiples of 10 are shown in the following table : — 1 Number. Equivalent. Logarithm of Number. 10,000 10* 4 1,000 10» 3 100 10* 2 10 101 1 1 100 •1 10-1 -1 •01 10"^ -2 •001 io-» -3 •0001 10-* -4 366 ACCOUNTING IN THEORY AND PRACTICE LOGARITHMS 367 J ! Since the logarithm of 10,000 = 4, and the logarithm of 1000 = 3, it is evident that the logarithm of all the numbers between 10,000 and 1000, such as 8432, must be 3 plus a fraction. This fraction is expressed as a decimal fraction, and is called the mantma of the logarithm, the integral part being called the characteristic, SimHarly, the logarithm of -0001 being -4, and the logarithm of '001 being -3, all numbers between must have as their logarithm - 3 and a fraction, or - 4 plus a fraction. For the sake of readiness in computation it is as a rule only the characteristic that is used negatively, and the mantissa is expressed positively. Hence the characteristic of the logarithm of any number having an integral part is positive, and is one less than the number of digits in the integral part The characteristic of the logarithm of any number having no integral part is negative, and is one more than the number of zeros that follow the decimal part. The minus sign is written above the characteristia The characteristic to base 10 of the logarithm of any number can thus be determined by inspection, and this is why logarithms to base 10 are used in practical calculations to the exclusion of all others. To find the Mantissa or Decimal Part of a Logarithm, using the Four-place Table of Logarithms, Suppose it is required to find the logarithm of 62-37. It is evident that the integral portion of the logarithm is 1. To find the decimal portion, referring to the Table of Logarithms, we find 62 in the first column on the second page. Then, opposite 62 and under 3 will be found 7945 This is the logarithm of 623. For the 7, referring on the same line to the columns of differences, and under 7 there is 5, which must be added to the figures already found making 7950. Hence log 62-37 = 1-7950. To find the Number corresponding to a Logarithm, Suppose the logarithm is 1-7950. Then the character- istic being 1, it is evident that the number contains two figures in the integral part. To find the digits, referring to the Table of Anti-logarithms, on the second page in the first column going to the line '79 and under 5 will be found 6237. Hence the number required is 62-37. Had there been another figure in the logarithm, by referring to the table of differences on the same line as the -79 the figure to add would have been found. The following are the leading properties of logarithms : — (1) The logarithm of the product of numbers is the sum of the logarithms of the numbers. (2) The logarithm of the quotient of two positive numbers is the excess of the logarithm of the dividend over the logarithm of the divisor. (3) The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. If m, 71, and x are any numbers, these properties may be shown thus : — (1) Multiplication — log mn = log m + log n. (2) Division — log - = log m - log n. (3) Involution — log fnS^^x log m. To multiply 68-43 by 3*6912 : — log 68-43 = 1-8353 log 3-6912 = 0-5671 Adding, we have 24024 = log 2526. The exact answer is 252*588816. Four-place logarithms should only be used where we do not require accuracy in the fourth significant figure. 368 ACCOUNTING IN THEORY AND PRACTICE TABLE OF DA YS i To divide 7-107 by -2369 :— log 7-107 = 0-8517 log -2369 = 1-3746 Subtracting, we have 1-4771 =log 30. To find the value of -7107 cubed :— log -7107 = 1-8517 multiplying 3 1-5551 -log -3590 The exact figure is -358970654043. To find the cube root of •358970654043 we have log -3590 = 1-5551, dividing by 3, we have -3 + 2-5551 3 = 1-8517 =log -7108. This is 1 too much in the fourth plaoe. 369 TABLE For finding the Days between two given Dates WITHIN Two Years The following table is to facilitate the finding of the number of days between any two dates within two years of each other. The method of using the table is very simple. If the tabular number opposite the earlier date is subtracted from the tabular number opposite the later date, the differ- ence is the number of days between the two dat^s. Thus, to find the number of days between 17th August and 15th May in the following year we have — 15th May 17th August . Number of days in period 500 229 271 2 B 370 A ceo UNTING IN THEOR Y AND PRA CTICE TABLE OF DA YS 371 Table for finding the Days between TWO GIVEN Dates within Two Years Jan. 1 2 3 4 5 6 7 8 9 Feb. 15 16 17 18 19 20 21 22 23 24 1 2 3 4 6 « 7 8 9 10 10 11 11 12 12 13 13 14 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 16 16 16 17 18 19 20 21 22 23 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 Mar. 17 18 19 20 21 22 23 24 25 26 27 28 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 April. 1 60 2 61 3 62 4 63 5 64 6 65 7 66 8 67 9 68 10 69 11 70 12 71 13 72 14 73 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 74 75 76 77 78 79 80 81 82 83 84 86 86 87 88 89 90 1 91 2 92 3 93 4 94 May. 6 6 7 8 9 95 96 97 98 99 10 100 11 101 12 102 13 103 14 104 15 105 16 106 17 107 18 108 19 109 20 110 21 111 22 112 23 113 24 114 25 115 26 116 27 117 28 118 29 119 30 120 June. 1 121 2 122 3 123 4 124 5 125 6 126 7 127 8 128 9 129 10 130 11 131 12 132 13 133 14 134 15 135 16 136 17 137 18 138 19 139 20 140 21 141 22 142 23 143 24 144 25 145 26 146 27 147 28 148 29 149 30 150 31 151 July. 1 152 2 153 3 154 4 155 5 156 6 157 7 158 8 159 9 160 10 161 11 162 12 163 13 164 14 165 15 166 16 167 17 168 18 169 19 170 20 171 21 172 22 173 23 174 24 175 25 176 26 177 27 178 28 179 29 180 30 181 Aug. 1 182 2 183 3 184 4 185 5 186 6 187 7 188 8 189 9 190 10 191 11 192 12 193 13 194 14 195 15 196 16 197 17 198 18 199 19 200 20 201 21 202 22 203 23 204 24 205 25 206 26 207 27 208 28 209 29 210 30 211 31 212 Sept. 1 213 2 214 3 215 4 216 5 217 6 218 7 219 8 220 9 221 10 222 11 223 12 224 13 225 14 226 15 227 16 228 17 229 18 230 19 231 20 232 21 233 22 234 23 235 24 236 25 237 26 238 27 239 28 240 29 241 30 242 31 243 Oct. Nov. Dee. 1 244 2 245 3 246 4 247 5 248 6 249 7 250 8 251 9 252 10 253 11 254 12 255 13 256 14 257 16 258 16 259 17 260 18 261 19 262 20 263 21 264 22 265 23 266 24 267 25 268 26 269 27 270 28 271 29 272 30 273 1 274 2 275 3 276 4 277 6 278 6 279 7 280 8 281 9 282 10 283 11 284 12 285 13 286 14 287 16 288 16 289 17 290 18 291 19 292 20 293 21 294 22 295 23 296 24 297 25 298 26 299 27 300 28 301 29 302 30 303 31 304 305 306 307 308 5 309 6 310 7 311 8 312 9 313 10 314 11 315 12 316 13 317 14 318 16 319 16 320 17 321 18 322 19 323 20 324 21 325 22 326 23 327 24 328 25 329 26 330 27 331 28 332 29 333 30 334 1 2 335 336 3 337 4 338 6 339 6 340 7 341 8 342 9 343 10 344 11 345 12 346 13 347 14 348 15 349 16 350 17 351 18 352 19 353 20 354 21 355 22 356 23 357 24 358 25 359 26 360 27 361 28 362 29 363 30 364 31 365 Jan. Feb. 1 366 2 367 3 368 4 369 6 870 6 371 7 372 8 373 9 374 10 375 11 376 12 377 13 378 14 379 15 380 16 381 17 382 18 383 19 384 20 385 21 386 22 387 23 388 24 389 25 390 26 391 27 392 28 393 29 394 30 395 31 396 Mar. 1 397 2 398 3 399 4 400 6 401 6 402 7 403 8 404 9 406 10 406 11 407 12 408 13 409 14 410 15 411 16 412 17 413 18 414 19 416 20 416 21 417 22 418 23 419 24 420 25 421 26 422 27 423 28 424 ApriL 1 425 2 426 3 427 4 428 5 429 6 430 7 431 8 432 9 433 10 434 11 436 12 436 13 437 14 438 16 439 16 440 17 441 18 442 19 443 20 444 21 445 22 446 23 447 24 448 25 449 26 450 27 2o 451 452 29 453 30 464 31 455 May. 1 456 2 457 3 458 4 459 6 460 6 461 7 462 8 463 9 464 10 466 11 466 12 467 13 468 14 469 15 470 16 471 17 472 18 478 19 474 20 476 21 476 22 477 23 478 24 479 25 480 26 481 27 482 28 483 29 484 30 485 June. 1 486 2 487 3 488 4 489 6 490 6 491 7 492 8 493 9 494 10 496 11 496 12 497 13 498 14 499 16 500 16 501 17 502 18 503 19 504 20 505 21 506 22 507 23 608 24 509 25 610 26 511 27 512 28 513 29 514 30 515 31 516 July. 1 617 2 618 3 519 4 520 5 621 6 522 7 623 8 524 9 525 10 526 11 527 12 528 13 529 14 530 15 531 16 532 17 633 18 534 19 536 20 536 21 537 22 538 23 539 24 540 25 641 26 642 27 543 28 644 29 645 30 646 Aug. 1 647 2 648 3 549 4 550 5 551 6 552 7 553 8 554 9 555 10 656 11 557 12 558 13 559 14 560 15 561 16 562 17 563 18 564 19 565 20 566 21 667 22 568 23 569 24 570 25 671 26 572 27 573 28 574 29 575 30 576 31 577 Sept. 1 678 2 579 3 580 4 581 5 582 6 583 7 584 8 585 9 586 10 587 11 688 12 689 13 590 14 591 16 692 16 593 17 594 18 595 19 596 20 597 21 598 22 599 23 600 24 601 25 602 26 603 27 604 28 605 29 606 30 607 31 608 1 609 2 610 3 611 4 612 6 613 6 614 7 615 8 616 9 617 10 618 11 619 12 620 13 621 14 622 16 623 16 624 17 625 18 626 19 627 20 628 21 629 22 630 23 631 24 632 25 633 26 634 27 635 28 636 29 637 30 638 Oct Nov. 1 639 2 640 3 641 4 642 5 643 6 644 7 645 8 646 9 647 10 648 11 649 12 650 13 651 14 652 16 653 16 654 17 655 18 656 19 667 20 658 21 659 22 660 23 661 24 662 25 663 26 664 27 665 28 666 29 667 30 668 31 669 Dec 1 670 2 671 3 672 4 673 6 674 6 675 7 676 8 677 9 678 10 679 11 680 12 681 13 682 14 683 15 684 16 685 17 686 18 687 19 688 20 689 21 690 22 691 23 692 24 693 25 694 26 695 27 696 28 697 29 698 30 699 1 700 2 701 3 702 4 703 6 704 6 705 7 706 8 707 9 708 10 709 11 710 12 711 13 712 14 713 15 714 16 715 17 716 18 717 19 718 20 719 21 720 22 721 23 722 24 723 25 724 26 725 27 726 28 727 29 728 30 729 31 730 K.B. --In leap years, when the period includes 29th February. I one day must be added to the result deduced from the toble. DA YS AS DECIMALS OF A YEAR 373 TABLE Showing Days as Decimal Feactions of a Year of 365 Days The table, showing what decimal of a year of 365 days any number of days less than a year is, which is given on the next two pages, is of considerable service in solving questions of interest and apportionment, more especially where the rates involved are those for which ordinary in- terest tables do not exist Thus, to find the interest on £50 for 108 days at 3 J per cent, we have — 108 days = -2959 of a year, 3 J =-03125 per £1, and £50 X -2959 X -03125 = -46234375 = 9s. 3d. Also, to apportion £100 per annum for 108 days, we have — £100 X -2959 = £29-59 =£29 ills. lOd. ^ 374 ACCOUNTING IN THEORY AND PRACTICE Days as Decimal Fractions Decimal Decimal Decimal Decimal D«7B. of a Days. of a Days. of a Days. of a Year. Year. Year. Year. 1 •0027 47 •1288 92 •2521 138 •3781 2 •0055 48 •1315 93 •2548 139 •3808 3 •0082 49 •1342 94 •2575 140 •3836 4 •0110 50 •1370 95 •2603 141 •3863 5 •0137 51 •1397 96 •2630 142 •3890 6 •0164 52 •1425 97 •2658 143 •3918 7 •0192 53 •1452 98 •2685 144 •3945 8 •0219 54 •1479 99 •2712 145 •3973 9 •0247 55 •1507 100 •2740 146 •4000 10 •0274 56 •1534 101 •2767 147 •4027 11 •0301 57 •1562 102 •2795 148 •4055 12 •0329 58 •1589 103 •2822 149 •4082 13 •0356 59 •1616 104 •2849 150 •4110 14 •0384 60 •1644 105 •2877 151 •4137 15 •0411 61 •1671 106 •2904 152 •4164 16 •0438 62 •1699 107 •2932 153 •4192 17 •0466 63 •1726 108 •2959 154 •4219 18 •0493 64 •1753 109 •2986 155 •4247 19 •0521 65 •1781 110 •3014 156 •4274 20 •0548 66 •1808 111 •3041 157 •4301 21 •0575 67 •1836 112 •3068 158 •4329 22 •0603 68 •1863 113 •3096 159 •4356 23 •0630 69 •1890 114 •8123 160 •4384 24 •0658 70 •1918 115 •3151 161 •4411 25 •0685 71 •1945 116 •3178 162 •4438 26 •0712 72 •1973 117 •3205 163 •4466 27 •0740 73 •2000 118 •3233 164 •4493 28 •0767 74 •2027 119 •3260 165 •4521 29 •0795 75 •2055 120 •3288 166 •4548 30 •0822 76 •2082 121 •3315 167 •4575 31 •0849 77 •2110 122 •3342 168 •4603 32 •0877 78 •2137 123 •3370 169 •4630 33 •0904 79 •2164 124 •3397 170 •4658 34 •0932 80 •2192 125 •3425 171 •4685 35 •0959 81 •2219 126 •3452 172 •4712 36 •0986 82 •2247 127 •3479 173 •4740 87 •1014 83 •2274 128 •3507 174 •4767 38 •1041 84 •2301 129 •3534 175 •4795 39 •1068 85 •2329 130 •3562 176 •4822 40 •1096 86 •2356 131 •3589 177 •4849 41 •1123 87 •2384 132 •3616 178 •4877 42 •1151 88 •2411 133 •3644 179 •4904 48 •1178 89 •2438 134 •3671 180 •4932 44 •1205 90 •2466 135 •3699 181 •4959 45 •1233 91 •2493 136 •3726 182 •4986 46 •1260 9U •25 137 •8763 182i •5 DA YS AS DECIMALS OF A YEAR 375 OF A Year of 365 Days Days. Decimal of a Year. Days. 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 •5014 •5041 •5068 •5096 •5123 •5151 •5178 •5205 •5233 •5260 •5288 •5315 •5342 •5370 •5397 •5425 •5452 •5479 •5507 •5534 •5562 •5589 •5616 •5644 •5671 •5699 •5726 •5753 •5781 •5808 •5836 •5863 •5890 •5918 •5945 •5973 •6000 •6027 •6055 •6082 •6110 •6137 •6164 •6192 •6219 •6247 Decimal of a Year. Days. Decimal of a Year. 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 273i •6274 •6301 •6329 •6356 •6384 •6411 •6438 •6466 •6493 •6521 •6548 •6575 •6603 •6630 •6658 •6685 •6712 •6740 •6767 •6795 •6822 •6849 •6877 •6904 •6932 •6959 •6986 •7014 •7041 •7068 •7096 •7123 •7151 •7178 •7205 •7233 •7260 •7288 •7315 •7342 •7370 •7397 •7425 •7452 •7479 •75 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 •7507 •7534 •7562 •7589 •7616 •7644 •7671 •7699 •7726 •7753 •7781 •7808 •7836 •7863 •7890 •7918 •7945 •7973 •8000 •8027 •8055 •8082 •8110 •8137 •8164 •8192 •8219 •8247 •8274 •8301 •8329 •8356 •8384 •8411 •8438 •8466 •8493 •8521 •8548 •8575 •8603 •8630 •8658 •8685 •8712 •8740 Days. Decimal of a Year. 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 •8767 •8795 •8822 •8849 •8877 •8904 •8932 •8959 •8986 •9014 •9041 •9068 •9096 •9123 •9151 335 •9178 336 •9205 337 •9233 338 •9260 339 •9288 340 •9315 341 •9342 342 •9370 343 •9397 344 •9425 •9452 •9479 •9507 •9534 •9562 •9589 •9616 •9644 •9671 •9699 •9726 •9753 •9781 •9808 •9836 •9863 •9890 •9918 •9945 •9973 l^OOOO 376 ACCOUNTING IN THEORY AND PRACTICE LOGARITHMS 377 Logarithms LOGARITUMS ■ 100 0000 101 0043 102 0086 103 0128 104 0170 12 3 0004 0009 0013 0048 0052 0056 0090 0095 0099 0133 0137 0141 0175 0179 0183 4 5 0017 0022 0060 0065 0103 0107 0145 0149 0187 0191 6 7 0026 00;jO 0069 0073 0111 0116 0154 0158 0195 0199 8 9 0035 0039 0077 0082 0120 0124 0162 0166 0204 0208 105 0212 0216 0220 0224 0228 0233 0237 0241 0245 0249 106 0253 0257 0261 0265 0269 0273 0278 0282 0286 0290 107 0294 0298 0302 0306 0310 0314 0318 0322 0326 0330 108 0334 0338 0342 0346 0350 0354 0358 0362 0366 0370 109 0374 0378 0382 0386 0390 0394 0398 0402 0406 0410 123456789 Pkoportionatb Pabts. 10 0000 0043 0086 0128 0170 0212 0253 0294 0334 0374 4 8 11 0414 0453 0492 0531 0569 0607 0645 0682 0719 0755 4 8 12 0792 0828 0864 0899 0934 0969 1004 1038 1072 1106 3 7 13 1139 1173 1206 1239 1271 1303 1335 1367 1399 1430 3 6 14 1461 1492 1523 1553 1584 1614 1644 1673 1703 1732 3 6 15 1761 1790 1818 1847 1875 1903 1931 1959 1987 2014 3 6 16 2041 2068 2095 2122 2148 2175 2201 2227 2253 2279 3 5 17 2304 2330 2355 2380 2405 2430 2455 2480 2504 2529 2 5 18 2553 2577 2601 2625 2648 2672 2695 2718 2742 2765 2 5 19 2788 2810 2833 2856 2878 2900 2923 2945 2967 2989 2 4 20 3010 3032 3054 3075 3096 3118 3139 3160 3181 3201 1 4 21 3222 3243 3263 3284 3304 3324 3345 3365 3385 3404 2 4 22 3424 3444 3464 3483 8502 3522 3541 3560 3579 3598 2 4 23 3617 3636 3655 3674 3692 3711 3729 3747 3766 3784 2 4 24 3802 3820 3838 3856 3874 3892 3909 3927 3945 3962 2 4 25 3979 3997 4014 4031 4048 4065 4082 4099 4116 4133 2 3 26 4150 4166 4183 4200 4216 4232 4249 4265 4281 4298 2 3 27 4314 4330 4346 4362 4378 4393 4409 4425 4440 4456 2 3 28 4472 4487 4502 4518 4533 4548 4564 4579 4594 4609 2 3 29 4624 4639 4654 4669 4683 4698 4713 4728 4742 4757 1 3 12 17 21 25 29 33 37 11 15 19 23 26 30 34 10 14 17 21 24 28 31 10 13 16 19 23 26 29 9 12 15 18 21 24 27 30 4771 4786 4800 31 4914 4928 4942 32 5051 5065 5079 33 51 «5 5198 5211 34 682 :> :.?28 5340 35 5441 ^;^.3 5465 36 5563 5575 5587 37 5682 5694 5705 38 5798 5809 5821 39 5911 5922 5933 4814 4955 5092 5224 5353 5478 5599 5717 5832 5944 4829 4843 4857 4871 4886 4900 1 4969 4983 4997 5011 5024 5038 1 5105 5119 5132 5145 6159 5172 I 5237 5250 6263 5276 5289 5302 1 6366 5378 5391 6403 5416 5428 1 5490 5502 6514 6527 6539 5551 1 6611 5623 5635 5647 5658 5670 1 6729 5740 5752 5763 5775 5786 1 5843 5855 5866 5877 5888 5899 1 6955 5966 6977 6988 6999 6010 1 40 6021 6031 6042 6053 6064 6075 6086 6096 6107 6117 1 41 6128 6138 6149 6160 6170 6180 6191 6201 6212 6222 1 42 6232 6243 6253 6263 6274 6284 6294 6:i04 6314 6:J25 1 43 6335 6346 6365 6365 6375 6385 6395 6405 6415 6425 1 44 6436 6444 6454 6464 6474 6484 6493 6503 6513 6522 1 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 45 6632 6642 6561 6561 6571 6580 6590 6599 6609 6618 1 2 46 6628 6637 6646 6656 6665 6675 6684 6693 6702 6712 1 2 47 6721 6730 6739 6749 6758 6767 6776 6785 6794 6803 1 2 48 6812 6821 6830 6839 6848 6857 6866 6875 6884 6893 1 2 49 6902 6911 6920 6928 6937 6946 695^ 6964 6972 6981 1 2 8 11 14 17 20 22 26 8 11 13 16 18 21 24 10 12 16 17 20 22 12 14 16 19 21 7 7 7 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 11 13 16 18 20 6 8 6 8 6 8 7 7 7 7 6 6 6 11 13 16 17 19 10 12 14 16 18 10 12 14 15 17 9 11 13 16 17 9 11 12 14 16 9 10 12 14 16 8 10 11 13 15 9 11 13 14 9 11 12 14 9 10 12 13 4 6 4 6 4 6 4 6 4 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 5 6 5 4 4 9 10 11 8 10 11 8 9 11 8 9 10 12 8 9 10 11 13 12 12 7 7 7 7 7 9 10 11 8 10 11 9 10 9 10 9 10 6 8 9 10 6 7 8 9 6 7 8 9 6 7 8 9 6 7 8 9 6 6 6 6 5 7 7 6 6 6 8 7 7 7 7 9 8 8 8 8 ■ 012 60 6990 6998 7007 61 7076 7084 7093 52 7160 7168 7177 53 7243 7251 7259 54 7324 7332 7340 55 7404 66 7482 7559 7634 7709 67 68 69 7412 7490 7566 7642 7716 7419 7497 7574 7649 7723 60 7782 7789 7796 61 7863 7860 78C8 62 7924 7931 7938 63 7993 8000 8007 64 8062 8069 8075 66 8129 8136 8142 66 8195 8202 8209 67 8261 8267 8274 68 8325 8331 8338 69 8388 8395 8401 3 7016 7101 7185 7267 7348 7427 7505 7582 7657 7731 7803 7875 7945 8014 8082 8149 8215 8280 8344 8407 4 7024 7110 7193 7275 7356 7436 7513 7589 7664 7738 7810 7882 7952 8021 8089 8156 8222 8287 8351 8414 5 6 7033 7042 7118 7126 7202 7210 7284 7292 7364 7372 7 7050 7135 7218 7300 7380 7059 7143 7226 7308 7388 6 5 5 5 5 7 8 9 6 7 8 6 7 6 7 6 6 6 6 8 7 7 7 7443 7461 7459 7466 7520 7528 7536 7543 7597 7604 7612 7619 7672 7679 7686 7694 7745 7752 7760 7767 7818 7825 7832 7839 7889 7896 7903 7910 7959 7966 7973 7980 8028 8035 8041 8048 8096 8102 8109 8116 8162 8169 8228 8235 8293 8299 8357 8363 8420 8426 8 9 12 3 4 6 7067 12 3 3 4 7152 12 3 3 4 7235 12 2 3 4 7316 12 2 3 4 7396 12 2 3 4 7474 122345667 7651 122346667 7627 122346667 7701 112344567 7774 112344667 7846 112344666 7917 112344566 7987 112334566 8055 112334566 8122 112334666 8176 8182 8189 112334656 8241 8248 8254 112334566 8306 8312 8319 112334666 8370 8376 8382 112334466 8432 8439 8445 112234466 70 8451 8457 8463 8470 8476 8482 8488 8494 8500 8506 112234466 71 8513 8519 8525 8531 8537 8543 8549 8555 8561 8567 112234466 72 8573 8579 8585 8591 8597 8603 8609 8615 8621 8627 112234466 73 8633 8639 8645 8651 8657 8663 8669 8675 8681 8686 112234466 74 8692 8698 8704 8710 8716 8722 8727 8733 8739 8746 112234466 75 8751 8756 8762 8768 8774 8779 8785 8791 8797 8802 112233466 76 8808 8814 8820 8825 8831 8837 8842 8848 8854 8859 112233465 77 8865 8871 8876 8882 8887 8893 8899 8904 8910 8915 112233446 78 8921 8927 8932 8938 8943 8949 8954 8960 8965 8971 112233446 79 8976 8982 8987 8993 8998 9004 9009 9016 9020 9025 112233446 80 9031 9036 9042 9047 9063 9068 9063 9069 9074 9079 112233445 81 9085 9090 9096 9101 9106 9112 9117 9122 9128 9133 112233446 82 9138 9143 9149 9154 9159 9165 9170 9175 9180 9186 112233445 83 9191 9196 9201 9206 9212 9217 9222 9227 9232 9238 112238446 84 9243 9248 9253 9258 9263 9269 9274 9279 9284 9289 112233446 85 9294 9299 9304 9309 9316 9320 9325 9330 9336 9340 112233446 86 9345 9350 9356 9360 9365 9370 9375 9380 9386 9390 112233446 87 9395 9400 9405 9410 9415 9420 9426 9430 9436 9440 011223344 88 9446 9450 9455 9460 9466 9469 9474 9479 9484 9489 011223344 89 9494 9499 9504 9509 9513 9618 9523 9528 9533 9538 011223344 90 9542 9547 9552 9557 9562 9666 9571 9576 9681 9586 1 91 9590 9595 9600 9605 9609 9614 9619 9624 9628 9633 1 92 9638 9643 9647 9652 9657 9661 9666 9671 9676 9680 1 93 9685 9689 9694 9699 9703 9708 9713 9717 9722 9727 1 94 9731 9736 9741 9746 9760 9764 9759 9763 9768 9773 1 95 9777 9782 9786 9791 9796 9800 9806 9809 9814 9818 1 96 9823 9827 9832 9836 9841 9845 9850 9854 9859 9863 1 97 9868 9872 9877 9881 9886 9890 9894 9899 9903 9908 1 98 9912 9917 9921 9926 9930 9934 9939 9943 9948 9952 1 99 9956 9961 9965 9969 9974 9978 9983 9987 9991 9996 1 2 2 3 2 2 3 2 2 3 2 2 8 2 2 3 4 4 4 4 4 4 4 4 4 4 12 2 3 3 4 4 12 2 3 3 4 4 12 2 3 3 4 4 12 2 3 3 4 4 1 2 2 3 3 S 4 i 378 ACCOrXTING IN THEORY AND PHACTICE ANTI-LOGARITHMS 379 Anti-Log A ritiims Anti-Logarithms ■ 01234 •00 1000 1002 1005 1007 1009 •01 1023 1026 1028 1030 1033 •02 1047 1050 1052 1054 1057 •03 1072 1074 1076 1079 1081 •04 1096 1099 1102 1104 1107 8 9 1234B6789 1012 1014 1016 1019 1021 1 1035 1038 1040 1042 1045 1 1059 1062 1064 1067 1069 1 1084 1086 1089 1091 1094 1 1109 1112 1114 1117 1119 Oil 1135 1138 1140 1143 1146 Oil 1161 1164 1167 1169 1172 Oil 1189 1191 1194 1197 1199 1 1 1216 1219 1222 1225 1227 Oil 1245 1247 1250 1253 1256 Oil •05 1122 1125 1127 1130 1132 •06 1148 1151 1153 1156 1159 •07 1175 1178 1180 1183 1186 •08 1202 1205 1208 1211 1213 •09 1230 1233 1236 1239 1242 •10 1259 1262 1265 1268 1271 1274 1276 1270 1282 1285 1 •11 1288 1291 1294 1297 1300 1303 1306 1309 1312 1315 1 •12 1318 1321 1324 1327 1330 1334 1337 1340 1343 1346 1 •13 1349 1352 1355 1358 1361 1365 1368 1371 1374 1377 1 •14 1380 1384 1387 1390 1393 1396 1400 1403 1406 1409 1 •15 1413 1416 1419 1422 1426 1429 1432 1435 1439 1442 1 •16 1445 1449 1452 1455 1459 1462 1466 1469 1472 1476 1 •17 1479 1483 1486 1489 1493 1496 1500 1503 1507 1510 1 •18 1514 1517 1521 1524 1528 1531 1535 1538 1542 1545 1 •19 1549 1552 1556 1560 1563 1567 1570 1574 1578 1581 1 12 2 2 12 2 2 12 2 2 12 2 2 2 2 2 2 12 2 2 2 12 2 2 2 12 2 2 2 12 2 2 3 12 2 2 3 •20 •21 •22 •23 •24 •25 •26 •27 •28 •29 •30 •31 •32 •33 •34 •35 •36 •37 •38 •39 •40 •41 •42 •43 •44 •45 •46 •47 •48 •49 1585 1589 1622 1626 1660 1663 1698 1702 1738 1742 1778 1782 1820 1824 1862 1866 1905 1910 1950 1954 1995 2000 2042 2046 2089 2094 2138 2143 2188 2193 2239 2244 2291 2296 2344 2350 2399 2404 2455 2460 2512 2518 2570 2576 2630 2636 2692 2698 2754 2761 2818 2825 2884 2891 2951 2958 3020 3027 3090 3097 1592 1596 1600 1603 1607 1611 1614 1618 1 1629 1633 1637 1641 1644 1648 1652 1656 1 1667 1671 1676 1679 1683 1687 1690 1694 1 1706 1710 1714 1718 1722 1726 1730 1734 1 1746 1750 1754 1758 1762 1766 1770 1774 1 1786 1791 1795 1799 1803 1807 1811 1816 1 1828 1832 1837 1841 1845 1849 1854 1858 1 1871 1875 1879 1884 1888 1892 1897 1901 1 1914 1919 1923 1928 1932 1936 1941 1945 1 1959 1963 1968 1972 1977 1982 1986 1991 1 2004 2009 2014 2018 2023 2028 2032 2037 1 2051 2056 2061 2065 2070 2075 2080 2084 1 2099 2104 2109 2113 2118 2123 2128 2133 1 2148 2153 2158 2163 2168 2173 2178 2183 1 2198 2203 2208 2213 2218 2223 2228 2234 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 112 2 2 3 12 2 2 2 3 12 2 2 2 3 12 2 2 3 3 12 2 2 8 3 2 2 2 3 8 2 2 2 3 3 2 2 2 3 3 2 2 2 3 3 2 2 3 3 3 12 2 3 3 3 2 2 2 3 3 3 2 2 2 3 3 3 2 2 2 3 3 4 2 2 2 3 8 4 2 2 2 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 3 4 4 2 2 3 3 4 4 2 2 3 3 4 4 2 2 3 3 4 4 2 3 3 4 4 5 2249 2254 2259 2265 2270 2275 2280 2286 1 1 2301 2307 2312 2317 2323 2328 2333 2339 1 1 2355 2360 2366 2371 2377 2382 2388 2393 1 1 2410 2415 2421 2427 2432 2438 2443 2449 1 1 2466 2472 2477 2483 2489 2495 2500 2506 1 1 2523 2529 2535 2541 2547 2553 2559 2564 1 1 2582 2588 2594 2600 2606 2612 2618 2624 1 1 2642 2649 2655 2661 2667 2673 2679 2685 1 1 2704 2710 2716 2723 2729 2735 2742 2748 1 1 2767 2773 2780 2786 2793 2799 2805 2812 1 1 2831 2838 2844 2851 2858 2864 2871 2877 1 1 2897 2904 2911 2917 2924 2931 2938 2944 1 1 2965 2972 2979 2985 2992 2999 3006 3013 1 1 3034 3041 3048 3055 3062 3069 3076 3083 1 1 3105 3112 3119 3126 3133 3141 3148 3165 1 1 2 2 3 3 4 4 6 2 2 3 3 4 4 6 2 2 3 3 4 4 6 2 2 3 3 4 4 6 2 2 3 3 4 6 6 2 2 3 4 4 6 6 2 2 3 4 4 6 6 2 2 3 4 4 6 6 2 3 3 4 4 6 6 2 3 3 4 4 6 6 2 3 3 4 6 6 6 2 3 8 4 6 6 6 2 3 3 4 6 6 6 2 3 4 4 6 6 6 2 8 4 4 5 6 6 •50 •51 •62 •53 •54 •55 •56 •57 •68 '69 •60 •61 •62 •63 •64 •65 •66 •67 •68 •69 •70 •71 •72 •73 •74 •75 •76 •77 •78 •79 12 3162 3170 3177 3236 3243 3251 3311 3319 3327 3388 3396 3404 3467 3475 3483 3548 3556 3565 3631 3639 3648 3715 3724 3733 3802 3311 3819 3890 3899 3908 3981 3990 3999 4074 4083 4093 4169 4178 4188 4266 4276 4285 4365 4375 4385 4467 4571 4677 4786 4898 5012 5129 6248 6370 5495 5623 5764 5888 6026 6166 4477 4487 4581 4592 4688 4699 4797 4808 4909 4920 6023 6035 5140 5152 5260 5272 5383 5395 5508 5521 3 4 5 6 7 3184 3192 3199 3206 3214 3258 3266 3273 3281 3289 3334 3342 3350 3357 3365 3412 3420 3428 3436 3443 3491 3499 3508 3516 3524 3573 3581 3589 3597 3606 3656 3664 3673 3681 3690 3741 3750 3758 3767 3776 3828 3837 3846 3855 3864 3917 3926 3936 3945 3954 4009 4018 4027 4102 4111 4121 4198 4207 4217 4295 4305 4315 4395 4406 4416 4498 4508 4519 4529 4539 4603 4613 4624 4634 4645 4710 4721 4732 4742 4753 4819 4831 4842 4853 4864 4932 4943 4955 4966 4977 8 9 3221 3228 3296 3304 3373 3381 3451 3459 3532 3540 3614 3622 3698 3707 3784 3793 3873 3882 3963 3972 4036 4046 4055 4064 1 4130 4140 4150 4159 1 4227 4236 4246 4256 1 4325 4335 4345 4355 1 4426 4436 4446 4457 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5047 6058 5070 5164 6176 5188 5284 5297 5309 5408 5420 5433 5534 5546 5559 5082 5093 5200 5212 5321 5333 5445 5458 5572 5585 4550 4560 12 3 4 4656 4667 12 3 4 4764 4775 12 3 4 4875 4887 12 3 4 4989 5000 12 3 5 5105 5117 12 4 5 5224 5236 12 4 5 5346 5358 12 4 5 5470 5483 13 4 5 5598 5610 13 4 5 5636 5649 5662 5675 5689 5702 5715 5728 5741 13 4 5 6768 5781 6794 5808 5821 5834 5848 5861-5875 13 4 5 6902 5916 5929 5943 5957 5970 5984 5998 6012 13 4 5 6039 6053 6067 6081 6095 6109 6124 6138 6152 13 4 6 6180 6194 6209 6223 6237 6252 6266 6281 6295 13 4 6 7 8 9 5 6 7 5 6 7 5 6 7 6 6 7 6 6 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 8 9 8 9 8 9 •80 6310 6324 6339 6353 6368 6383 6397 6412 6427 6442 13 4 6 •81 6457 6471 6486 6501 6516 6531 6546 6561 6577 6592 2 3 5 6 •82 6607 6622 6637 6653 6668 6683 6699 6714 6730 6745 2 3 5 6 •83 6761 6776 6792 6808 6823 6839 6855 6871 6887 6902 2 3 6 6 •84 6918 6934 6950 6966 6982 6998 7015 7031 7047 7063 2 3 5 6 5 6 4 4 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 5 5 5 6 5 6 5 6 5 6 6 6 6 6 5 6 6 7 6 7 6 7 6 7 6 7 6 7 6 8 6 8 7 8 9 10 12 7 8 9 11 12 7 8 10 11 12 7 8 10 11 13 7 9 10 11 13 7 9 10 12 13 8 9 11 12 14 8 9 11 12 14 8 9 11 13 14 6 6 6 6 6 6 7 7 7 7 7 8 9 7 9 10 8 9 10 8 9 10 8 9 10 8 9 11 8 10 11 9 10 11 9 10 11 9 10 12 8 10 11 13 16 •85 7079 7096 7112 7129 7146 7161 7178 7194 •86 7244 7261 7278 7295 7311 7328 7345 7362 •87 7413 7430 7447 7464 7482 7499 7516 7534 •88 7586 7603 7621 7638 7656 7674 7691 7709 •89 7762 7780 7798 7816 7834 7852 7870 7889 7211 7228 2 3 6 7 7379 7396 2 3 6 7 7551 7568 2 3 5 7 7727 7745 2 4 5 7 7907 7925 2 4 5 7 •90 7943 7962 7980 7998 8017 8035 8054 8072 •91 8128 8147 8166 8185 8204 8222 8241 8260 •92 8318 8337 8356 8375 8395 8414 8433 8453 •93 8511 8531 8551 8570 8590 8610 8630 8650 •94 8710 8730 8750 8770 8790 8810 8831 8851 •95 8913 8933 8964 8974 8995 9016 9036 9057 •96 9120 9141 9162 9183 9204 9226 9247 9268 •97 9333 9354 9376 9397 9419 9441 9462 9484 •98 9550 9572 9594 9616 9638 9661 9683 9705 •99 9772 9795 9817 9840 9863 9886 9908 9931 8091 8110 2 4 6 7 8279 8299 2 4 6 8 8472 8492 2 4 6 8 8670 8690 2 4 6 8 8872 8892 2 4 6 8 9078 9099 2 4 6 8 9*290 9311 2 4 6 8 9506 9528 2 4 7 9 9727 9750 2 4 7 9 9954 9977 2 5 7 9 8 10 12 8 10 12 9 10 12 9 11 12 9 11 13 9 11 13 9 11 13 10 12 14 10 12 14 10 12 14 13 15 13 15 14 16 14 16 14 16 15 17 15 17 15 17 16 18 16 18 10 12 16 17 19 11 13 16 17 19 11 13 16 17 20 11 13 16 18 20 11 14 16 18 20 Hi r t ANSWEES TO EXEKCISES j^OTE. — In most cases the whole of the solution is not given, hut only sufficient of the answer to enable the student to locate any err(yr he inay have made in working out an exercise. Page 39, Exercise 1: — Profit and Loss. Dec. 31. To Wages ,, Rent. ., Capital . £350 . 200 . 1587 £2137 Dec. 31. By Gk)ods . £2075 „ Discount. 62 £2137 Balance Sheet as at 31st December. Liabilities. Rusk k Co. . George Tait k Son Bills payable Capital . Assets. .£700 . 900 . 1000 . 2747 £5347 John Harvey Bills receivable Goods . Bank . Cash £300 2000 3000 37 10 £5347 Page 40, Exercise 2 : — Profit and Loss. Dec. 31. To Wages ,, Rent . . £600 . 200 „ Discount . 40 „ Capital . 520 £1360 Dec. 31. By Goods . £1360 £1360 382 ACCOUNTING IN THEORY AND PRACTICE ANSWERS TO EXERCISES 383 Balance Sheet as at 31 st DocHmber. Pa^e 93, Exercise 1 : — i^ LiabUities. Assets, A. Ross and Cn. Capital . . £200 . 1770 £1970 John Adamflon . £900 Goods . . 1000 Bank . 45 Cash . . 25 £1970 Page 41, Exercise 3 : — Profit and Loss. Deo. 31. To Wages ,. Rent . ,, Discount „ Capital . £400 . 150 35 . 975 £1560 Dec. 31. By Goods . £1560 £1560 Balance Sheet as at 3 1st December. Liabilities. Assets. James Watt and Co. . £2100 Capital . . , 2975 £5075 John Reid . . . £900 OflSce fittings and furni- ture . . . . 200 Goods .... 2000 Bank .... 1515 C*al» . • . . 460 £5075 THE HERITABLE LAND SOCIETY Statement op Affairs Liabilities. Assets. I. Ordinary creditors . II. Creditors secured on PROPERTY . £6000 Deducted firom Assets, Branch VI. III. Preferable CLAIMS . Expected to rank. £200,000 £300 Deducted from Assets. I. Cash on hand . II. Cash at bankers III. Book debts :— Good D o u b t f u 1, £25,000, pro- duce Bad, £1000 . £1000 2000 IV. Bill of exchange . V. Loans on mortgage, £170,000, produce , VI. Property: — 1. Held by secured creditors, value . £12,000 Deduct — Secured debt, per Liabilities, Branch II. . 6,000 £200,000 £6,000 2. Other pro- perty . 56,000 VII. Office furniture Deduct — Preferable Claims . Assets available for division among ordi- nary creditors, showing a dividend of 12s. 7d. per £, exclusive of ex- penses Deficiency . Estimated to realise. £100 900 3,000 22 60,000 62,000 100 £126,122 300 £125,822 74,178 £200,000 384 ACCOUNTING IN THEORY AND PRACTICE ANSWERS TO EXERCISES 385 Page 93, Exercise 2 WALLACE & GIBB I WALLACE & GIBB Statement op Affairs Liabilities, I. OuDlNAliy CUEDITORS II. Creditors fully 8ICURED . . £4000 £6,000 Deducted from Assets, Branch V. III. Creditors partly SECURED . . £6300 Deduct — Value of securities assigned per Assets, Branch V. 800 IV. Prbferential CLAIMS . . £160 Deducted from Assets. 5,500 £11,500 Assets, I. Cash on hand . . £50 II. Customers' accounts : — Good . . £1000 Doubtful, £100, estimated to produce . , 80 Bad, £200 . III. Bills receitablb . I\'. Property, cost £3000, estimated to produce , V. Securities :— 1. Held by credi- tors partly securea. . £800 Deducted from Liabilities, Branch III. 2. Value of se- u r i t i e 8 pledged to fully secured creditors . £6200 Dedicct — Claims by fully securea crea itors, per Liabilities, Branch II. . 4000 2)«/f Mrf— Preferen • tial claims Assets available for divi- sion among ordinary creditors, showing adivi- dend of 10s. 4d. per £, exclusive of expenses Deficiency 1,060 800 2,000 2,200 £6,110 150 £5,960 6,540 £11,500 Deficiency Account To Loss from shrinkage of Assets, as shown in Statement of Aflairs : — Book debts . Property £240 1,000 £1,240 I • 11 Stock Exchange losses . Trade expenses Business losses Partners* drawings : — Wallace . £2000 Gibb . 1500 3,000 2,300 1,900 By Capital put into business : — Wallace . , . . £2,500 Gibb .... 3,900 £6,400 3,500 £11,940 ,, Balance, being deficiency shown in Statement of Affairs .... 5,540 £11,940 Page 94, Exercise 3 :— William Arnot. Statement of Affairs as at 1st July. Liabilities. ^^sets. I. Ordinary creditors : — On open account £9,000 On bills payable . . 20,000 II. Fully secured oredi TORS . . £2300 £29,000 Deducted from Assets, Branch VIII. III. Partly secured credi- tors . . £35,000 D«dMc<— Shares assigned in security, per Assets, Branch Vn. . . 20,000 I. Cash in hand and in BANK .... II. Office furniture, cost £300, estimated to realise .... III. Four stations, build- ings, plant, steamers A.ND carrying CRAFT, cost £40,000, estimated £84 200 C IV. Preferable CLAIMS £800 Deducted from Assets. 15,000 Carry forward £44,000 to realise IV. Book debts : — Good Doubtful, £200, estimated to realise . Bad, £300 . 20,000 £1000 75 1,075 V. Stock in Liverpool, cost £1500, estimated to realise . . . .1,200 2 C Carry forward . £22,559 386 ACCOUNTING IN THEORY AND PRACTICE Statement of Affairs — cmtinued. Liabilities. Assets, Brought forward 4^44,000 VI. Brought forward Stock and book debts, less sundry lia- bilities at the four stations ON COAST Deduct — Estimated loss on realisa- tion : — Stock . £6000 Book debts 9000 £22,559 £36,000 15,000 21,000 VII. £44,000 VIII. Shares held . £20,000 These shares are assigned in security of debts amount- ing to £35, 000, and their value is de- ducted from Liabilities, Branch III. Heritable property: — Value . £3000 Deduct — Creditors' claims per Lia- bilities, Branch II. . . . 2300 700 £44,259 Deduct — Preferable claims er Liabilities, Branch Vy 800 Assets available for divi- sion among ordinary creditors, showing a dividend of 19s. 9d. per £, exclusive of expenses £43,459 Deficiency . 541 £44,000 ANSWERS TO EXERCISES 387 William Arnot. Deficiency Account. To Loss from shrinkage of Assets, as shown in State of Aifairs : — Office furniture . . £100 Buildings, plant, etc. at stations . . 20,000 Book debts . . 425 Stock in Liverpool 300 Stock and book debts at stations . . 15,000 £35,825 „ Drawings at the rate of £4000 a year for six years 24,000 £59,825 By Capital in business six years ago £42,000 ,, Interest on capital for six years at £2000 a year . 12,000 ,, Profit shown in accounts : — 1st year . . £3,000 2nd year . . 4,000 3rd year . . 5,284 Dedv^ Losses : — 4th year . £1500 5th year . 2500 6th year . 3000 £12.284 7,000 ,, Balance, being deficiency shown in Statement of Affairs .... 5,284 541 Page 99, Exercise 1 : — Profit and Loss Account. To Wages . , , Rent and taxes ,, Depreciation . ,, Capital . £20 150 10 1373 By Silk ,, Cloth ,, Velvet £1553 Balance Sheet as at Slat December. Liabilities. Assets, Webster and Co. . Bills payable Capital £2200 2000 2178 £6378 T. Henry £600 Bills receivable .... 4000 Furniture and fittings . . 90 Stock:— Silk . . £400 Cloth . . 300 Velvet . . 708 Bank . Cash . 1408 50 230 £59,825 £545 400 608 £1553 £6378 ( 388 ACCOUNTING IN THEORY AND PRACTICE Page 101, Exercise 2 :- Profit and Loss Account. To Department No. 1 . . £2700 „ Net profit, allocated thus : — Tod, two-thirds . £3300 Dick, one-third . . 1650 4950 By Department No. 2 do. No. 3 £7650 £3650 4000 £7650 Balance Sheet as at 31st December. Liabilities. Assets. Creditors : — On open account On bills payable Cash creditors . Capital : — Tod Dick £18,000 10,000 28,000 £56,000 £17,300 . 7,250 24,550 £80,550 Customers : — On open account On bills receivable £29,000 . 3,000 £32,000 38,000 1,000 Stock Sundry debtors on loans . Fixtures, fittings, and trade utensils 950 Business premises . . . 6,500 Bank 2,000 Cash on hand .... 100 Page 103, Exercise 3 Profit and Loss Account. To Mace . ,, OflBce expenses ,. Capital. £20 100 333 H53 By Cinnamon ,, Nutmegs ,, Discount £180 270 3 £453 £80,550 ANSWERS TO EXERCISES Balance Sheet as at 31st December. Liabilities. Assets. W. Perkins Bills payable Capital £150 500 4108 £4758 Bills receivable . Stock : — annamon £480 Nutmegs 470 Cash 950 2683 Page 104, Exercise 4: — R HAY & SONS, WINE MERCHANTS Profit and Loss Account. To Carriage . . . £50 ,, Wages and salaries 300 ,, Stationery and stamps . . 10 ,, Rent 50 ,, Rates and taxes 18 .. Net profit . . 1642 £2070 By Gross profit : — Whisky Brandy Gin and Wines , , Discount 389 . £1125 £4758 £520 800 700 £2020 50 £2070 Page 132, Exercise 1 :- Joint Account. To Brown (goods) ,. Smith (n-eight and insurance) . ,, Brown (share of profit) ,, Smith (share of profit) £1000 65 52 10 52 10 By Smith . . £1170 £1170 J £1170 To Balance . BrouMf Capital Account. . £1052 10 £1052 10 By Joint Account . £1000 do. (share of profit) . 62 10 ti £1052 10 390 ACCOUNTING IN THEORY AND PRACTICE Smithy Capital Account To Joint Account £1170 £1170 By Joint Account £66 ,, do. (share of profit) . . 52 10 .. Balance . . . 1052 10 Smith would pay to Brown £1052 : lOs. £1170 Page 132, Exercise 2 : — R. AllaUy Capital Account, To Bank ,, Adventure To Bank ,, Balance . £700 . 200 £900 By Bank . . £700 „ Adventure (profit) . 145 16 8 Balance 54 3 4 £900 r. Dick, Capital Account. £500 104 3 4 £604 3 4 By Bank . . £500 ,, Adventure (profit) . 104 3 4 Bank Account. £604 3 4 To R. Allan . . £700 By Adventure . £900 „ T. Dick . . 500 ,, do. . 50 ,, Adventure . 1200 ,, do. . . 200 „ R. Allan . . 700 „ T. Dick . . 600 ,, Balance . . 50 £2400 J £2400 Adventure Account, To Bank (timber) . . £900 ,, do. (charges) 50 „ do. (freight, etc.) . 200 „ Profit:— K Allan. £145 16 8 T. Dick . 104 3 4 250 To Bank ,, R. Allan £1400 £1200 200 £1400 T. Dick would get the balance in bank of £50, and R Allan would pay him £54 : 3s. 4d. ANSWERS TO EXERCISES 391 Page 190, Exercise 1 : — Balance Sheet as at 30th June. Liabilities. Assets. Capital liferented by widow . . £5000 Residue . . 1700 £6700 Sum invested for widow's liferent use onbondat4 per cent £5000 Balance in hands of executor . 1700 £6700 Page 192, Exercise 2 : — Balance Sheet as at 31st December, 1900. Liabilities. Assets. Due to beneficiaries John Roberts, Jr. George Roberts . William Roberts Mary Roberts Frank Smith £627 8 327 8 607 8 1141 2 453 14 £3157 Stock and shares Mortgages . Cash . £1000 1280 877 £3157 Page 223, Exercise 1 : — Balance Sheet as at 1st January. Liabilities. Assets. Partners' capital :- X . Y . . £8000 . 7800 £15,800 Book debts . Goods Heritable property Cash . . £2,800 . 2,000 . 5,000 . 6,000 £16,800 Paore 223, Exercise 2 : — Xf Capital Account. Mar. 31. To Cash . June 30. ,, do. . Sept. 30. ,, do. . Dec. 31. ., do. . ,, Balance £200 200 200 200 1971 6 Jan. 1. By Balance . £2000 Dec. 31. ., Interest . 85 ,, Share of profit . 686 5 £2 771 5 i £2771 5 392 ACCOUNTING IN THEORY AND PRACTICE ANSWERS TO EXERCISES 393 V \ F, Capital Account. June 30. To Cash . Dec. 31. ,, do. . ,, Balance . £300 . 300 . 1128 16 Jan. 1. By Balance . £1000 Dec. 31. , Interest . 42 10 ,, Share of profit . 686 6 £1728 15 £1728 15 Page 223, Exercise 3 : — Assets . £8000 Deduct— Cash in bank . £600 Liabilities . 4000 4600 Amount business sold for £3400 6500 Profit on realisation . . £2100 of wbich each partner is entitled to one-half, namely £1050. A therefore receives . . £4050 B receives 2050 £6100 To pay this sum there is the cash the busi- ness was sold for ... . £5500 And the cash in bank . .600 £6100 BrovyrCs Capital Account Dec. 31. To Balance . £2349 5 1 1 Jan. 1. By Cash Mar. 15. ,, do. July 1. ,, do. Dec. 31. ,, Interest „ Profit „ Salary . £500 . 300 600 51 18 697 1 . 200 8 9 £2349 5 £2349 _6 Page 224, Exercise 5 : — Dec. 31. To Balance Dec. 31. To Balance John Thin, Capital Account. . £2610 £2610 Dec. 31. By Balance . £2000 ,, Profit and Loss Account (share of profit) . 610 £2610 Richard BkLck, Capital Account. . £2410 £2410 Dec. 31. By Balance . . £1800 ,, Profit and Loss Account (share of profit). 610 £2410 Page 223, Exercise 4:- Smith's Capital Account. Dec. 31. To Balance £2550 19 7 Jan. 1. By Cash . £500 Mar. 31. ,, do. 400 July 15. ,, do. 600 Dec 31. . , Interest 53 17 10 „ Profit 697 1 9 ,, Salary 300 £2550 19 7 £2550 19 7 Profit and Loss Account. To Trade expenses . . . £100 ,, Interest .... 30 „ Wages .... 350 „ CapiUl :— John Thin £610 Richard Black 610 1220 £1700 By Goods £1700 £1700 394 ACCOUNTING IN THEORY AND PRACTICE Balance Sheet as at 31 st December. Liabilities. Assets. Bills payable .... £2100 Accounts due .... 2380 Capital : — John Thin £2610 Richard Black 2410 5020 £9500 Bank Goods on hand Bills receivable Book accounts receivabit) . £3000 . 2500 . 8200 , 800 £9500 ANSWERS TO EXERCISES Balance Sheet as at 31st December. Liabilities. As given . Capital : — A . £4,600 B . 11,200 C . 10,200 £8,000 As given 26,000 £34,000 Assets. 395 . £34,000 £34,000 Page 224, Exercise 6 : — A^ Capital Account. Dec. 31. To Cash „ Balance £1600 4600 £6100 Jan. 1. By Balance . £5000 Dec. 31. ., Interest . 250 „ Profit and Loss 850 £6100 Page 225, Exercise 7 :- To Bad debts ,, Depreciation ,. Smith .. Black . Profit and Loss Account. £700 150 325 325 £1500 By Balance £1500 £1500 B, Capital Account. Dec. 31. To Cash . £1,000 „ Balance . 11,200 Jan. 1. By Balance £10,000 Dec. 31. ,, Interest 500 ,, Profit and Loss . 1,700 £12,200 \ £12,200 To Balance Smitht Capital Account. £2325 I By Balance : .. Profit and Loss £2325 . £2000 . 325 £2325 li C, Capital Account. Dec 31. To Cash . £2,000 „ Balance . 10,200 £12 200 Jan. 1. By Balance £10,000 Dec. 31. ,. Interest 500 ,, Profit and Loss . 1,700 £12,200 To Balance Blacky Capital Account. . £1825 By Balance , , Profit and Loss . £1500 325 £1825 £1825 -"=r- - .Tiini 396 ACCOUNTING IN THEORY AND PRACTICE Balance Sheet as at 30th June. Liabilities, Assets. I Creditors' Accounts Bank ..... Partners : — Smith . . £2325 Black . . 1825 £8,000 1,000 4,150 £13,150 Customers' Accounts . Less 10 per cent Machinery and plant . . £3000 X««i 5 percent 150 Stock-in-trade .... £7,000 700 £6,300 2,850 . 4,000 £13,150 Black will require to pay Smith £2325. Page 225, Exercise 8 : — A J Capital Account To Share of discount and bad debts . £250 „ Share of deprecia- tion ... 200 , Balance . . 10,850 By Balance ,♦ C . . £9,800 . 1,500 £11,300 £11,300 _0 By Capital Account. To Share of discount and bad debts . £250 ,, Share of deprecia- tion ... 200 ,. Balance . . 11,050 By Balance ,, . . . £10,000 . 1,500 £11,500 £11,500 ANSWERS TO EXERCISES 397 Balance Sheet as at 1st January. lAamties, Assets. Creditors . Partners :— mL m B. 0. . £10,850 . 11,050 . 10,000 £2,000 31,900 £33,900 Customers' Accounts Less 5 per oent . £10,000 500 £9,500 Goods 7,000 Plant and ma- chinery . . £4000 Less 10 per cent . . 400 . 3,600 Bank 13,800 £33,900 Page 226, Exercise 9 : — Profit and Loss Account. To Cost of goods : — Purchases Dedtiet — Stock at close of year . £28,750 . 12,600 II •I • I • • 1 1 II 1 1 Freight and carriage Salaries and wages Rents, rates, taxes, insurance Travelling expenses . Discount and commission Gas and fuel Office and petty expenses John Kay, three-fifths . £1752 W. Mackay, two-fifths . 1168 and £16,150 120 570 220 190 70 40 120 By Sales £20,400 2,920 £20,400 Balance Sheet Liabilities. Assets. Trade creditors Partners — J. Kay . . £12,552 W. Mackay . 8,368 £2,750 20,920 £23,670 Trade debtors . Stock Bank £20,400 ^ 1 i ) • £4,320 12,600 6,750 £23,670 IF r i 398 ACCOUNTING IN THEORY AND PRACTICE Page 227, Exercise 10 :- Brovm, Capital Account. To Balance £3800 £3800 By Balance . „ Share of profit £1500 2300 £3800 Smithy Capital Account. To Bank £9400 £9400 By Balance . ,, Share of profit ,, Share of goodwill . £1550 . 2300 . 5550 £9400 Balance Sheet as at 1st January. Liabilities. Assets. Creditors' openaccount8£4,000 Bills payable . . 3,000 Bank overdraft . . 8,400 Capital. Brown . . 3,800 Customers' counts Bills receivable open ac- £5,000 . 2,000 Deduct 5 per cent Stock . GroodwiU £19,200 £7,000 350 £6,650 . 7,000 . 5,550 £19,200 ANSWERS TO EXERCISES 399 Page 227, Exercise 11 : — Profit and Loss Accownt. To Cost of goods : — Purchases . . Deduct — Stock at end of year . £6000 . 1000 fi >> »f If ♦ I • > If »» Rent, rates, taxes, and insur- ance Office and general expenses Freight and carriage Horse keep .... Discounts and allowances Interest, commission, and bank charges .... Printing, stationery, and ad- vertising .... Travelling expenses Salaries and wages £5000 ; By Sales £8500 ,, Interest on partners' draw- ings : — W. Johnston £17 10 E. Brown . 12 10 m 150 130 120 80 40 30 20 130 1000 Partners' accounts, for profit : — W. Johnston . £1098 E. Brown . 732 £6700 1830 £8530 Balance Sheet as at 31st December. Liabilities. Assets. £8530 Trade creditors . Partners' capital :- W. Johnston . El. Brown . £500 £3380 10 2219 10 5600 £6100 Trade debtors Stock Plant and machinery . Office furniture and fittings Horses, carts, and harness . £3000 1000 1800 100 200 Page 228, Exercise 12 : — Trading Accoimt. To Cost of goods : — Stock at 1st Jan. Purchases Deduct— Stock at Slst Dec „ Wages . , „ Profit and Loss £2,100 10,300 £12,400 2,300 C C £10,100 400 2,310 II r . - ■ £12,810 By Sales ,, Consignments ,, Commissions £5,500 6,700 610 £12,810 £6100 «)| 400 ACCOUNTING IN THEORY AND PRACTICE ANS WERS TO EXERCISES 401 Frojii and Loss Account. To Rent, rates, and insur- By Trading Accoun' . £2310 ance .... £185 ,, Interest 50 ,, Interest and discount . 250 ,, Salaries 650 ,, Loss on exchange 400 ,, Reserve for losses on bad debts 123 £1608 , , Partners' salaries : — A . £100 B . 100 C . 60 250 „ Interest on partners' capital : — A . £90 B . 60 C . 30 180 „ Partners, for share of profits : — A . £161 B . 107 6 8 C . 53 13 4 322 < £2360 _0 £2360 Balance Sheet Liabilities. Assets. Trade creditors . Loan Partners' capital : — A . . £1601 £2890 1200 B 1017 6 8 383 13 4 3002 £7092 Book debts Less 3 per cent . £4100 123 Stock ... Plant and fixtures Unexpired insurance pre mium ... Rent paid in advance Gash on hand and in bank £3977 2300 400 5 10 400 £7092 Page 229, Exercise 13 : — Manufaduring Account. To Cost of goods : — Stock at beginning of year £3000 Purchases. . . . 6000 I By Profit and Loss Account . £9340 £9000 Deduct— Sitock at end of year 4000 ,, Wages . ., Power, etc. . £5000 4040 300 £9340 £9340 Profit and Loss Account. To Manufacturing Account Kent . Travelling expenses Commission Discount Freight outwards . Fire insurance Interest and bank charges Horse keep . Advertising . Bad debts written off Do. reserved Sundry expenses . Depreciation : — Machinery £245 Office furniture 19 12 Interest on partners' capital : John Smith . £200 William Brown 150 ,, Salaries of partners : — John Smith . £700 William Brown 400 11 Partners, for share of profits : John Smith £1740 4 William Brown 1740 4 Jty,340 300 150 200 160 110 60 60 70 85 100 100 170 264 i 1 350 1,100 12 1 ■ 3,480 8 £16,100 _0 By Sales . Discount f ) . £16,000 100 £16,100 2 D 402 ACCOUNTING IN THEORY AND PRACTICE Balance Sheet Liabilities. Assets. Creditors' Accounts . Bills payable Wages due Partners' capital :— John Smith . £5740 William Brown 4690 4 4 . £600 500 40 — 10,430 "T i Customers' Accounts . Deduct 6 per cent . . £2,000 100 8 Bills receivable . Stock Unexpired insurance . £1,900 885 4,000 20 Machinery Less 7 per cent £3500 245 I Buildings . I Office furniture . Lest 7 per cent Cash on hand and in bank £280 19 12 3,255 1,000 £11,570 8 260 8 250 £11,570 8 Page 230, Exercise 14: — Profit and Loss Arrount. To Cost of goods :— Stock at 1st Jan. Purchases . £4,500 7,000 By Sales £11,500 Dutittcf-Stock at 31st Dec. 5,000 £10,000 „ Wages . . • • „ Rent, rates, taxes, etc. Patent rights— written off ", Coal and lighting. ,, Carriage ,, Trade expenses . „ Depreciation £6,500 1,500 100 200 150 100 150 112 10 Partners, for share of profit :— " John Richards £730 15 6 Robert Low . 456 14 7 £8,812 10 1,187 10 £10,000 £10,000 00 ANSWERS TO EXERCISES 403 Balance Sheet Liabilities, Assets. Creditors . Partners : — John Richards Robert Low . . £1,750 £8130 15 5 6056 14 7 13,187 10 £14,937 10 Book debts .... £3,200 Stock 5,000 Plant and machin- ery . . £2250 Less 5 per cent 112 10 Land and buildings Patent rights Bank 2,137 10 3,000 200 1,400 Page 231, Exercise 15 : — Profit and Loss Account, To Cost of goods : — By Sales , Stock at beginning of year £3000 Purchases .... 5000 £8000 Deduct — Stock at end of year 2100 £5900 „ Rent, rates, taxes, and in- surance .... 400 „ Freight and carriage 70 ,, Salaries and wages 430 „ Coals, gas, and lighting 40 „ Printing, stationery, and advertising 60 ,, General office expenses . 50 „ Discount and commission 150 £7100 ,, Partners, for share of profit : — Gow . . £600 Erskine . . 200 Scott . . 100 900 £8000 £14,937 10 . £8000 £8000 404 ACCOUNTING IN THEORY AND PRACTICE Balance Sheet Liabilities. Assets. Creditors . Partners : — Grow Erskine . Scott . £1100 £5400 1800 900 . 8100 Debtors Stock Fixtures and fittings . Land and buildings . Bank £9200 £3600 2100 400 2300 800 £9200 Page 232, Exercise 16 : — JOUBNAL. FE18E. . . . . • • ■»-• *3211 12 8 To Ruby Diamond Co. Livest. Ac- count, to close this account „ Ross's account for 5 per cent, compound interest thereon for two years— frds proportion „ Do. for frds expenses of purchase of said invest, in December 1«9G „ Do. for 5 per cent, compound interest thereon £3000 205 6 I 12 8 Page 244, Exercise 1 : — The average annual profit from manufacturing is £6000. Page 244, Exercise 2 : — SCOTTISH UNION BANK Profit and Loss Account Expenditure. ^^^^- To Bad debts . • • • ^3.000 .. Expenses . • • . • ^^'^"" , Balance carried down, being profit for year . . . 17.9W u v £32,490 To Interim dividend paid . . £5,720 ,, Balance . • • • ^tf, By Gross profit . £32,490 £19.550 £32,490 By Balance of profit from last year £l,5oO U u „ Profit for year as above . 17,990 £19,550 ANSWERS TO EXERCISES 405 Balance Sheet as at 31st December. Liabilities, Assets, Dae to public : — Notes issued Customers' credit balances Due to shareholders : — Capitel . £114,430 Reserves . 145,210 Unpaid dividends 240 Undivided profit . 13,830 £39,700 897,530 £937,230 273,710 £1,210,940 Cash in hand £38,135 Cash at call . . . . 44,230 Investments 328,465 Stamps in hand . 505 Premises . . . . 37,250 Customers' debit balances 762,355 £1,210,940 Page 244, Exercise 3 : — Revised Balance Sheet LiabUilies. Assets. Capital : — 15,000 shares of £5 each . . £75,000 Less — Calls in arrear . 7,500 Creditors . £67,500 17,800 £85,300 Expenditui'e on Capi- tal Account . £74,800 Xe55— Written off . 47,200 Book debts Stock Cash £27,600 32,100 19,900 5,700 £85,300 W [ ; \l / / 406 ACCOUNTING IN THEORY AND PRACTICE Page 245, Exercise 4 : — Assets. Land and buildings Plant and machinery Horses and waggons Goods on hand Accounts receivabh' Cash in bank Agency investments Net increase of Assets Liabilities. Creditors on open accounts Bills payable Mortgage Net decrease of Liabilities Increase. Decrease, £400 3200 3000 £6600 £1700 450 400 170 £2720 3880 £6600 Decrease. Increase. £6000 £200 6000 £6000 £5200 • • • 800 £6000 The profits earned, amounting to £4680, are accounted for as follows : — Increase of Assets Decrease of Liabilities . £3880 800 £4680 ANSWERS TO EXERCISES 407 Page 246, Exercise 5 : — Profit and Loss Account for Half-year. To Cost of goods : — Stock on hand, 1st July . . £11,600 Purchases. . 33,000 £44,600 If Deduct — Stock on hand, 31st December „ Wages ,, Coal . ,, Salaries, general do. manage ment . ,, Insurance . ,, Repairs ,, Discount and al lowauces . „ Freight ,, Discount and in terest ,, Miscellaneous ex penses ,, Allowance for bad debts ,, Depreciation 13y Sale* , . £87.670 10,600 £34,000 I 35,200 2,400 4,400 2,000 350 400 2,500 600 300 1,720 940 480 £85,290 ,, Profit for lialf-year 2,380 OJ £87,670 To Dividend for hali- year on prefer- ence shares do. on ordi- nary shares ,, Balance • It £800 600 2,580 £3,980 By Balance „ Profit for hall- year as above . £87,670 £1,600 2,380 £3,980 408 ACCOUNTING IN THEORY AND PRACTICE Liabilitie.<(. Accoimts payable . Bills payable . Due to shareholders Preference stock . Ordinary stock . Dividend for half- year on preferred stock Dividend for half- year on ordinary stock Undivided profit . £40,000 40,000 £80,000 bOO 600 2,580 Balance Siiest. AM^dii. £4,000 10,400 83,980 £98,380 Book debts . . £18,800 Leas — Allowance for bad debts .... 940 £17,8(50 (1 Stock on hand 10,60(J Investments .... 0,200 Plant and machinery £ 16,000 LenB 6 per cent. per annum 480 15,520 13,000 (\ Property and buildings . Patents and goodwill 32,000 Cash in bank .... 3,200 £08,380 ANSWERS TO EXERCISES 409 Profit and Loss Account. To Interest . ,, Bad debts „ Preliminary penses . ex- ,, Balance, profit for year £500 200 500 £1200 7300 £8:»00 By Trading Account . £6500 „ Discount . . 2000 £8500 To Interim dividend . £1500 i „ Balance . . . 6800 £8300 By Balance from last year . . . £1000 ,, Profit for year as above . . . 7300 £8300 Page 247, Exercise 6 : — Trading Accnnni. To Cost of goods : — Stock at begin- ning of year . £10,000 Purchases . 60,000 £70,000 Deduct — Stock at end of year 9,000 „ Wages „ Fire Insurance >i ** »» I* »> Went . Kates and taxes Gas, electric light and water Advertising Price lists . Carriage, etc. General trade ex- penses Discount Annual painting of premises Salaries £G1,000 4,500 150 3,000 500 600 900 1,600 1,500 400 80 70 700 „ Balance carried to Profit and Loss Account . £75,000 6,500 £81,500 By Sales . Commissions » £80,000 1,500 £81,500 Balance Sheet as at 31st December. Liabilities. Assets. Due to creditors : — Sundry creditors . Bills payable Due to shareholders : — Capital . . £10,000 Undivided profit. 6,800 £15,000 2,000 £17,000 16,800 £33,800 Sundry debtors . oi/0«./iC • • • Land and buildings Fixtures and furniture Fire insurance paid in ad vance Goodwill Preliminary expeuaes Cash on deposit . Cash in bank Cash in hand . Page 250, Exercise 1 : — Journal Goods Dr. Book debts ,, Fixtures, fittings, and utensils . ,, Plant . . . • • • ti Goodwill ,, To Tod k Co. Tod & Co Dr. To Cash „ Capital £30,000 8,000 1,000 1,500 9,500 50,000 £3,250 9,000 12,000 700 50 3,000 500 5,000 200 100 £33,800 £50,000 10,000 40,000 4IO ACCOUNTING IN THEORY AND PRACTICE Page 251, Exercise 2 : — 1. Closing Entries JoumaL Company To Land and buildings ,, Plant and machinery ,, Book debts ,, Goods . ,, Goodwill Bills payable . Debentures Preference shares Ordinary shares To Company Dr Dr •» £48,000 3,000 15,000 15,000 15,000 £10,000 15,000 7,000 8,000 8,000 48,000 2. Opening Entries I! I Journal. Land and buildings Plant and machinery Book debts Goods Goodwill To Bills payable Debentures . Preference shares Ordinary shares fi Dr. It ii 1 1 £10,000 15,000 7,000 8,000 8,000 Page 251, Exercise 3 : — £3,000 15,000 15,000 15,000 Net Assets Goodwill, say three years' purchase of net profits . Stock to be allotted . ToUl, £77,000. ABC £14,000 £20,000 £25,000 6,000 9,000 8,000 £20,000 £29,000 £28,000 ANSWERS TO EXERCISES Page 251, Exercise 4 :- Journal Cash . . . . • To Capital. Land and buildings Coal-gas plant, machinery, and fit tings Water-gas plant, machinery, and fit tings Mains Meters ..... Supplies Office furniture and fittings To Private firm ,, Reserve Fund Private firm . . • • To Cash .... ,, Heritable bond . Dr. Dr. Dr. £21,000 5,000 2,200 1,800 6,000 300 700 150 i I 16,000 411 £21,000 16,000 150 13,000 3,000 Page 257, Exercise 1 : — Profjt and Loss Account. To Stock at 1st January . ,, Purchases . „ Wages (making) ,, Balance carried down . £7,00U . 8,000 . 2,400 . 3,600 £21,000 By Sales Stock at 30th June a To f > »» • * It >« Wages (foreman and ware- house) . . . . £300 Salesmanand office expenses . 500 Rent, rates, and insurance . 100 Travelling and commission . 310 Advertising and other trade expenses . . • 200 Discounts and bad debts . 350 Bardc interest and charges . 50 Interest on loan ... 50 Net profit . . .1,740 . £13,000 . 8,000 £21,000 By Balance brought down . £3,600 £3,600 £3,600 Page 257, Exercise 2 : — Trading Accovmi. To Stock at beginning of year . . £3,000 „ Purchases . . 25,000 , Gross profit on goods . . 4,500 £32,500 By Sales . . £30,000 „ Stock at end of year 2,500 £32,500 412 A ceo UNTING IN THEOR Y AND PR A CTJCE Profit and Loss Account To > ' > l> Rent, rates, taxes, etc. . General expenses . Petty cash . Wages and salaries Carriage . Bad debts . Net profit By Gross profit on £500 goods . £4500 300 ,, Discount 900 98 1300 300 150 2752 £5400 £5400 _0 I Balance Sheet as at 31 st December. Liabilities. Assets, Trade creditors . . £3,000 Bills payable . . 1,000 W.S. Black, Capital. 8,752 £12,752 Customers . Bills receivable . Stock Bank . Petty cash on hand £7,047 2,000 2,500 1,200 5 £12,752 Page 258, Exercise 3 : — Trading Account. To Stock atlst Jan. . £12,500 By Sales . . . £53,100 ,, Purchases . . 41,750 „ Stock at 3l8t Dec. 16,400 C „ Wages . 7,910 ,, Depreciation on machinery and plant . . 165 „ Balance, carried to Profit and Loss . 7,185 _0 £69,500 £69,500 _0 Profit and Loss Account. To Fire insurance ,, Discount ,, Rent, rates, and taxes . ,, Bad debts ,, Trade expenses », Net profit £60 310 730 660 345 5080 £7185 _0 By Trading Account . £7185 £7185 ANSWERS TO EXERCISES 413 Balance Sheet as at 31st December. Liabilities, Assets, Creditors : — On open account On bills payable Charges outstanding Advances on consignments Reserve and contingency fund John Dick, capital . • £6,225 7,900 £14,125 50 2,400 850 21,280 £38,705 Customers : — On open accounts On bills receivable Consignments . Stock Machinery and plant Bank . £11,100 1,450 £12,550 . 3,100 . 16,400 . 2,945 . 3,710 £38,705 Page 259, Exercise 4: — Profit and Loss Account. To Stock at 1st January . ,, Purchases .... ,, Wages .... ,, Fuel ., Depreciation of machinery and plant Balance carried down . t* £3,000 7,600 4,800 600 700 7,600 To Salaries , . Travelling expenses . ,, Interest ,, Stationery and printing ,, Rent and taxes . Discounts and allowances Insurance . Freight General expenses Balance carried down . I) £24,300 £1,200 500 120 240 To Interest on capital : — A . . . « B . . • »t Net profit, allocated thus : — A, two-thirds £2,153 6 8 B, one-third 1,076 13 4 3,230 £3,830 By Sales .... Rent of steam power . Stock at 31st December II 700 400 190 300 120 3,830 £7,600 £400 200 £600 . £19,000 300 5,000 £24,300 By Balance brought down . £7,600 £7,600 By Balance brought down , £3,830 £3,830 414 ACCOUNTING IN THEORY AND PRACTICE Balance SiiEEr as at 31st Deceml)er. Liabiliiies. Asscf<. Creditors Bank overdraft Capital : — A . . £10,553 6 8 B . . 5,276 13 4 £800 1,000 15,830 £17,630 Customers Less Discount at 3 jier cent Plant and machinery . £7000 Less Depreciation at 10 per cent . . 700 Stock . . . • . Unexpired insurance Loan Account .... Cash on hand .... Page 259, Exercise 5 : — £5,000 150 £4,850 6,300 5,000 40 1,400 40 £17,630 ANSWERS TO EXERCISES i^S Balanck Sheet as at 31st December. Liabilities. Creditors : — On open account . On bills payable . Expenses accrued to date . Provision for discount Provision for bad debts Capital : — J. Jamieson . £4483 6 JL Robb . 3586 13 £2,000 3,000 £5,000 50 210 40 8 4 8,070 Assets. Customers : — On open account On bills receivable £4,200 . 1,000 £5,200 Stock 3,000 Buildings, fixed machinery, and plant 3,800 Horses, carts, harness, etc. . . 400 Loose tools, utensils, and furniture 150 Cash at bank . . • . 800 Cash in hand .... 20 £13,370 j £13,370 Trading Account. To Stock at beginning of year . £2,500 By Sales .... . £10,000 ,, Purchases . . . . 8,000 „ Stock at end of year . . 3,000 „ Coal 70 ,, Gas and water . 20 , , Oil, grease, and waste 40 ,, Wages . . . . 1,000 ,, Repairs . . . . 100 ,, Depreciation of machinery, etc. . . . . 200 „ Gross profit on trading 1,070 £13,000 £13,000 Profit and Loss Account, To Carriage, cartage, and horse expenses . Feu-duty Rates, taxes, and insurance Bank interest Discounts and allowances Bad debts Salaries . . . Incidental expenses Partners' salaries . . £500 50 70 20 410 100 400 150 300 £2000 By Trading Account . ,, Net loss, allocated thus : — Jamieson . £516 13 4 Robb . . 413 6 8 £1070 930 £2000 Page 260, Exercise 6 : — Profii and Loss Account. To Stock at beginning of year £2,000 Purchases . Wages Books, labels, etc. Rates and taxes Insurance . Carriage . Petty cash and postages Interest on loan Discount and bad debts Depreciation „ Net profit . 2,000 5,000 500 40 10 150 95 50 60 135 By Sales . ,, Stock at end of year £10,040 . 2,000 £12,040 £10,000 2,040 £12,040 4i6 ACCOUNTING IN THEORY AND PRACTICE Balance Shekt as at 3l8t December. Liabilities. Assets. Creditors .... £1500 Loans (including interest due, £50) 1050 Capital ... . 5700 Due by customers Less 6 per cent Bills receivable Stock . Machinery and plant Land and buildings Stamps on hand Cash at bank and in hand £8250 I Page 272, Exercise :- Goods Accmini. Jan. 1. To Stock . 81. ,« Purchases . ,, Gross profit. £3000 4000 1515 £8515 Jan. 31. By Sales ,, Stock Page 273, Exercise 1 : — Profit and Loss Account £1000 60 £940 roc 2040 1425 1940 5 1400 £8250 . £6000 . 2515 £8515 To Salaries „ Rent, rates, and taxes ,, OflBce expenses . ,, Stationery „ Capital . £600 By Fees and commissions : — 90 Received during year . £2000 250 Outstanding at close of 60 year . . . . 700 £1000 1200 £2200 £2700 Deduct — Outstanding at beginning of year . 600. £2200 ANSWERS TO EXERCISES 417 Balance Sheet as at 31st December. Liabilities. Assets. Due to clients Capital . . £1500 . 3100 Due by clients Fees and commissions out standing OflBce furniture and fittings Bank .... £4600 £3000 700 200 700 £4600 Page 273, Exercise 2 :— - Profii and Loss AccounL Tt) Wages and salaries . £17,000 „ Sundry expenses . ,, Taxes and insurance ,, Repairs . „ Bad debts ,, Interest . ,, Capitol, for net profit 900 175 300 1,333 25 . 3,346 6 13 8 4 £23,080 By Gross profit on goods .£22,300 „ Discount ... 600 Profit on sale of consols . 150 „ Profit on sale of £1000 Great Western ordinary stock .... 30 £23,080 Balance Sheet as at 31st December. Liabilities. AsseU Due to bank Capital . £500 . 10,966 13 4 Sundry debtors Stock Plant and machinery Warehouse . Cash £11,466 13 4 I 2 B £1,766 13 4 1,800 2,500 , 3,000 . 2,400 £11,466 13 4 41 8 ACCOUNTING IN THEORY AND PRACTICE ANSWERS TO EXERCISES 419 Page 274, Exercise 3 :- Profit and Loss Account. To Stock at Ist July . ,, Purchases ,, Wages . ,, Repairs ,, Balance carried down £15,000 . 18,500 . 3,100 300 . 10,600 To » > »> >i »> >» »> !• Salaries and wages — office Carriage and freight . Rates and insurance Trade expenses Discounts and allowances Bad debts . Bank interest and charges Interest on bond on property Partners' salaries . Net profit, allocated thus : — W. Hardie . £1511 5 T. Allan . 813 15 £800 1,500 1,550 1,250 1,475 350 250 200 900 £47,500 - 2,325 £10,600 By Sales ,, Stock at 30th June . £34,500 13,000 £47,500 By Balance brought down . £10,600 £10,600 Page 275, Exercise 4: — Profit and Loss Account. To Goods on hand at Ist July . £2,741 „ Purchases .... 8,400 ;; Wages 1.404 „ Repairs • • • : 84 „ Depreciation on plant and machinery ,, Balance carried down To Discount ,, Rent, rates, and taxes „ Advertising . „ Traveller's salary ,, Carriage ,, Bad debts ,, Interest ,, Trade and general expenses 150 . 6,391 £19,170 £648 100 460 430 390 100 120 502 „ Net profit, allocated thus :- Smart, two- thirds . £2520 13 4 Currie, one- third . 1260 6 8 £2,650 By Sales (less returns, £330) . Stock on hand at Slst Dec. 3,781 £6,431 .£15,670 . 3,500 £19,170 By Balance brought down , , Royalties _ . • £6,391 40 £6,431 Balance Sheet as at 30th June, Balance Sheet as at 31st December Liabilities, Creditors . Bankers Bond over property . Allowance lor bad debts Allowance for discounts Trade expenses outstanding Capital W. Hardie T Allan £14,511 7,813 5 15 £7,500 3,000 5,000 150 575 50 - 22,325 £38,600 Assets, Customer? . Stock Heritable property . Machinery and plant . Loose tools, horses, etc. Cash in hand .£11,500 . 13,000 • 10,000 . 2,500 1,550 60 £38,600 Liabilities. AsseUy, Creditors Loan on mortgage . Royalty received in advance . Reserve for bad and doubtful debts . • ', 1" Reserve for discounts on book debts Capital : — Smart . £7320 13 4 Currie . 3540 6 8 £1,970 4,500 500 540 197 10,861 £18,568 Debtors . Bills receivable Stock Buildings Plant and machinery Patent rights Cash at bankers Petty cash on hand £7,365 200 3,500 4,000 2,850 50 600 3 £18.568 420 ACCOUNTING IN THEORY AND PRACTICE ANSWERS TO EXERCISES 421 Balance Sheet as at 31st December. I I Page 276, Exercise 5 :— YOUNG, SCOTT, & ALLAN Profit and Loss Account. To Stock, etc., at Ist January . £1,400 Purchases : — Materials . £2500 Croods . 4000 it II Wages Repairs and renewals . Depreciation on machinery and plant .... Gas for lighting and power . Balance carried down . 6,500 3,800 70 100 85 1,886 To Salaries and commissions Postages and stationery Carriage and cartage Rent, rates, and taxes Insurances . Advertising . Trade expenses Discount Goodwill Balance carried down £13,841 £400 60 70 160 17 25 30 54 25 1,055 £1,886 To Interest on partners' capital : — Young . . . £80 Scott .... 45 Allan .... 45 £170 ,, Net profit allocated thus : — Young, one-half £445 10 Scott, one-fourth 222 15 Allan, one-fourth 222 15 891 £1,061 By Sales. ,, Stock at aiat December . £12,541 1,300 By Balance brought down £13,841 £1.886 By Balance brought down ,, Interest on partners' draw- ing : — Young . £J Scott . .200 Allan . .10 £1,886 £1,055 8 £1,061 LiabilitU'S. Assets. £230 70 Sundry creditors Allowance for discounts CapiUl :— Young . .£2022 10 Scott . . 1095 15 AlUn . . 110« 1^ , ^ ^ 4225 £4525 Sundry debtors . Stock . . • • Goodwill Patents Patterns and drawings Plant and machinery . Cash at bank Cash in hand £800 1300 175 100 no 1400 600 40 £4525 Page 309, Exercise :— Net profit ijer accouuts Add tho following itemb charged before arriving at net profit, but upon which income tax is payable : — Income tax Feu-duty . Interest on mortgage Interest on loan Interest on capital . Partners' salaries . £1000 £1050 £1100 24 25 100 40 250 500 27 25 100 60 280 500 30 25 100 60 300 500 ^'^Jnl'^^P" £1939 £2042 £2115 An assessable average of . £2032 Page 356 :- Exercise 1. Exercise 2. 1st August. 31st January. Ill I |H INDEX Abstract of Cuetomere* Ledger and Turchases Ledger, method of preparing, 33 Accident insurance, 148 Accountant, classification of bufiinees of an, 3 Accounting, definition of, 1 main branches of, 1 Allotment letter, form of, 241 Analysis of I>edger Accounts, 109 Application and Allotment Book of joint-stock company, 234 Apportionment, Act of 1870, 154 annuities, 165 bonui^es returned as capital, 167 casualties, 164 commercial, 157 dividends and interest upon shares and debentures in public com- panies, 166 exceptions to, 170 fore-hand rents, 103 heritors' assessment, 164 in connection with testamentary deeds, 156 interest on money lent, 165 interim dividends and bonuses, 166 minister's stipend, 164 profit from private partnerships, 1C9 property not producing revenue, 171 rent charges, 164 rents, 160 rente imder the Land Clauses Act, 1845, 169 stocks and shares bought and sold, 167 table of particulars of companies, 174 ... use of interest tables in apportionmg sums for different periods, 153 wages and salaries of servants and workmen, 165 Appropriation Account, Profit and Loss, 56 Arrangement of Profit and Loss Accounts, 55 Assessment tables, to prepare, 310 Assets, definition, 67 fixed, 67 floating, 67 in connection with investigations, 333 permanent, 67 valuation of, in bankrupt estates, 83 Assurance, life, 147 Audit, commercial accounts, 353 companies, 351 objects of, 348 office regiilations to prevent fraud, 353 partial, 352 Partnership Accounts, 350 pointe to be attended to in a first audit, 350 Report under Companies Acte, 352 Auditor, the duties and responsibili- ties of an, 348 Average due date, to calculate, 354 Balance Account, 72 Balance, contracts not completed at date of, 267 Balance Sheet, 18 arrangement of, 76 connection between the Trial Balance, Profit and Loss Account, and Balance Sheet, 65 definitions of, 69, 70 distinction between Profit and Loss Account and Balance Sheet, 70 double account form of, 79 on which side the assets should be placed, 70 regulations under Companies Acts, 74 Bankrupt, Statement of Affairs of a, 83 T' n '■> H 424 ACCOUNTING IN THEORY AND PRACTICE Bill Book and Journal, 20 Bills of exchange, 8, U, 149 Book-keeping, basis of accounting, 2 by double entry, compared with single entry, 42 definition of, 4 features of best system of, 23 points to be kept in raind in devis- ing a set of books for a business, 22 practical, 22 practical, further developed, 32 single entiy, 42 the whole theory of, contained in Ledger, 22 Branches, accounts of, 95 foreign, 288 British currency, 277 Call letter, form of, 243 Capital Account, in double account form of Balance Sheet, 79 the account of the owner of a business, 69 Capital, as excess of assets over liabilities, 69 definition of, 68 insurance of the risk of losinfir, 47 ^ return from, how divided by econo- mists, 47 Card or loose-leaf system of keeping liedger Accounts, 114 applied to Shareholders' Ledger, Cash Book, example of columnar, 34 in practical book-keeping, 23 with Discount, Bank, and Cash columns, 27 Cash on hand, in auditing, 350 Charge and Discharge Account, 175, 180 Charges, shop establishment, 265 Check Ledgers, 113 Closing entries, 15 use of Journal for, 25 Colliery sinking or redemption funds, 128 Columnar Cash Book, description of, 32 posting of, 33 specimen, 34 Companies, joint-stock, exercises, 244, 250 points to be attended to in auditing, 351 table of particulars for apportion- ment, 174 Companies, the conversion of a private firm into a joint-stock company, Comparative Statements, 335 Consignment Account, 131 Contingent fund, 121 Contingent liability, 68 Contracts not completed at date of l)alancc, 267 Conversion of foreign currencies, 288 Cost Accounts, delinition of, 261 Cost, items of, 263 Cost of goods entered in Trading Account, 59 Cost, prime, 263, 265 Course of the exchanges, 300 Creditors' Ledger, 2(5 Currencies, foreign, 285 Currency, Britisli, 277 French, 281 (Jerman, 281 Indian, 278 United States, 280 Current Accounts, interest on, 356 Curves and Diagrams, 344 Customers' ledger, 26 abstract, method of preparing, 33 Day Book, 25 Days, table for finding the dajrs be- tween two given dates, 369 table of days ns decimal fractions of a year, 373 Debenture bond sinking fund, 122 Debenture reserve fund, 120 Debenture Ledger, 240 Debtors' ledger, 26 Decimals, rule for expressing shill- ings and pence as, 30.*^. Deficiency Account of a banknipt, 89 Departments and Departmental Ac- counts, 98 Trading Account of business hav- ing two, 60 Depreciation, 137 to find the rate to be written off, 138 Direct and indirect exiienses, 263, 264 Discount, 17 Double account form of Balance Sheet, 79 Engineers' Accounts, 265 Equated time of payment, r.54 Errors, localisation of, 22 Estimated Cost Account, 261 Exchanges, foreign, 297 the course of the, 300 INDEX 425 Exchanges, the, as published in the newspapers, 301 Expenses, general establishment, 266 direct and indirect, 263 Fire insurance, 143 Fixed assets, 67 Fixed liabilities, 67 Floating assets, 67 Floating liabilities, 67 Foreign branches, 288 currencies and their treatment in Home Accounts, 285 currencies, rules for conversion of, 288 exchanges, 297 moneys, 283 French currency, 281 General establishment expenses, 266 General Ledger, 26 German currency, 281 Goods Accoimt, 15 a revenue as well as a real account, 105 definition, 51 to ascertain the profit on goods without taking stock, 267 Goods destroyed by fire, to find the cost value of, 271 partially manufactured and com- pleted, how valued at stock- taking, 53 sold on commission, 53 treatment of goods on hand at close of year, 16 Goodwill, definition, 134 how valued, 135 Gross profit, in percentage state- ments, 335 shown by Trading Account, 59 Guarantee insurance, 149 Hire-purchase system of acquiring railway waggons, 324 Impersonal Accounts, 105 Income and Expenditure Account, 133 Income Tax, 302 Income Tax Tables, preparation of, 309 Indian currency, 278 Indirect expenses, 263 Instalments, loans repayable by, 314 Insurance, 143 accident, 148 fire, 143 Insurance, guarantee, 149 life, 147 marine, 145 Interest, on capital, 47 on Current Accounts, 356 on partners' Capital Accounts, 197 Investigations, 329 Investment fund, 119 Invoice Book, 24 Jomt Account, 131 Joint-stock compames books, s66 Journal, Bill, 26 . Journal, definition and use of, m practice, 25 Labour, in Cost Accounts, 264 Leases, redemption of, 322 Ledger Accounts, division of, 105 definition of, 4, 104 Ledger balances, statement of, 70 Ledger, Card, 114 Check, 113 Customers', 26 definition of, 4, 104 division of, 26 general, 26 private, 26 Purchases, 26 Self-balancmg, 33, 107 i the essential book in book-keepmg, 22 to analyse the accounts in a, 109 ^ to balance Ledgers separately, 107 Legal tender, 278 Letter of regret, form of, 242 Liabilities, classification of, 68 definition, 67 fixed, 67 . . in connection with investigations, 332 floating, 67 Life assurance, 147 Life Insurance Abatement, 308 Liquidation Account, 130 Loans repayable by instalments, 314 Local authorities, rates of, 310 Logarithms, explanation of use of, 365 table of, 376 use of, in preparing percentage statements, 338 Loss, definition of, 48 Manufacturers' Accounts, 252 Manufacturing Accounts, 61 Margin, 119 Marine insurance, 145 I 2f mwm 426 ACCOUNTING IN THEORY AND PRACTICE INDEX '427 II m 1)1 Material, in Cost Accounts, 264 Mint par, 300 Minute Book of joint-stock company, 233 Moneys, foreign, 283 Nominal Accounts, 105, 106 Ofl&ce regulations to prevent Eraud, 353 Opening entries, use of Journal for, 25 Original entries, should be utilised in book-keeping, 22 Original record, books of, 25 Par, Mint, 300 Partnership, 194 Accounts, points to be attended to in auditing, 350 assumption of a partner, 211 dissolution of, 213 division of profits, 205 goodwill in, 195 Income Tax assessment on, 308 interest on Partners' Accounts, 197 limited, 197 transactions worked out, 219 Percentage statements, 335 Percentages, to calculate a series of, 337 Permanent assets, 67 Personal Accounts, 105, 106 Preferable claims, treatment of, in bankruptcy statements, 84 Preferable liabditv, definition of, 68 Prime cost, 263, 2*65 Private Ledger, method of using, 26 Products, method of calculating interest on Current Accounts by means of, 358 use of table of, in preparing per- centage statements, 339 Professional and other non-manu- facturing and non-trading con- cerns, the accounts of, 272 Profit, 47 division of, in partnership, 205 statutory or legal, 48 to ascertain the profit on the Goods Account without actually taking stock, 267 Profit and Loss Account, 18 arrangement of, 55 connection between the Trial Balance, Profit and Loss Account, and Balance Sheet, 65 definition of, 49 Profit and Lcms Account, distinction between Profit and Loss Account and Balance Sheet, 70 facts to be shown, 50 in investigations, 333 percentage statements, 334, 335 should contain all the profits and all the charges, 51 Profit and Loss Appropriation Ac- count, 56 Promissory notes, 149 Purchases Ledger, 26 Purchases Ledger Abstract, method of preparing, 33 Railway waggons, hire - purchase system of acquiring, 324 Rates of local authorities, 310 Raw material, how valued at stock- taking, 53 Real Accounts, 105, 106 Realisation Account, 130 Receipts and payments, statement of, 133 Reconciliation statements, 345 Redemption fund, 120 colliery, 128 Redemption of leases, 322 Register of members of joint-stock company, 235 Register of transfers for joint-stock company, 235 Rent, treatment of, when outstanding at close of year, 17 Repairs, treatment of, in preparing percentage statements, 336 Reserves and reserve funds, defini- tion, 118 Reserves, secret, 119 Rest, 119 Return, Income Tax, preparation of, 306 Revenue Account, 132 Scroll-books, use of, not recom- mended, 22 Secret reserves, 119 Secured liability, 68 Self-balancing Ledgers, 33, 109 Shareholders' Ledger, 235 card system applied to, 115 Shop establishment charges, 265 Single entry, definition of, 42 method of ascertaining net profit, 43 to pass from single to double entry, 45 Sinking funds, 121 Sinking funds, colliery, 128 debenture bond, 122 Statement of Affairs, definition, 82 of a bankrupt, 83 Statement of Receipts and Payments, 133 Stock-taking, 52 Stock used for capital, 69 Surplus applied to a reserve, 119 Suspense Accounts, 134 Tables for finding the days between two given dates, 369 days as decimals of a year, 373 logarithms, 376 Tax, income, 302 Trading Account, as first section of Profit and Loss Account, 55 Trading Account, definition, 59 Trial Balance, connection between the Trial Balance, Profit and Loss Account, and Balance Sheet, 65 . , , .^ of books kept by smgle entry, 45 definition, 63 two methods of preparing, 64 Trust and Executry Accounts, 175 Trust transactions, model set of, 176 United States currency, 280 Wages, 17 Wages of management, 47 Wasting assets, 67 PRINTED BY WILLIAM GREEN AlID BOKS, EDINBURGH. f li * . 1:^ f \ I ''-^ COLUMBIA UNIVERSITY LIBRARIES 0041419723 AUG 2 „ 1934 JUN 30 ]9n I ) if END OF TITLE