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The Columbia University Libraries reserve the right to refuse to a9cept a copying order if, in its judgement, fulfillment of the order would involve violation of the copyright law. Author Comer, George Nixon Title Book e ng r PI lace ionalized p to ston 18 ^^-^2H..^- MASTER NEGATIVE # COLUMBIA UNIVERSITY LIBRARIES PRESERVATION DIVISION BIBLIOGRAPHIC MICROFORM TARGET ORIGINAL MATERIAL AS FILMED - EXISTING BIBLIOGRAPHIC RECORD 420 C7311 Comer, George Nixon^ d« 1877 • Book-keeping x^tionalizedi adapted to all kinds of business, * personal and partnership commission and corporate* Together with en- tirely new and rapid methods of computing'in- terest, exchange, averaging accounts, etc. A copious appendix, and a fac-simile of the written pages of the day, cash, and ledger, with forms of set of exchange, promissory notes, drafts, etc. By George N, Comer ••• 41st thousand of the combined works. Boston, fVed'k, A. Brown & co«, 1866. 168 p. fold. ^m^. front, (forms) 2 fold« facsim. 19^. ' J RESTRICTIONS ON USE: TECHNICAL MICROFORM DATA FILM SIZE: sSanoo REDUCTION RATIO: A^li IMAGE PLACEMENT: lA IB IIB DATE FILMED: I'U-'^^ TRACKING # : /f6/y o?^7< INITIALS: t\ ^ FILMED BY PRESERVATION RESOURCES, BETHLEHEM, PA. o 7! 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St it'..: 1 t .: ..-i^, t, , ii'i J WoTi^gomery Library School ^^f^i^nSll^itrary G)lumbia University mtlifCttpoflSfttigork LIBRARY Retool of IBniint^a Cijc itlontgonurp Hifararp of iSctountancp MoTi^gc»mery Library, <;" of AcGOuntancy/^, yy/M^t /: • rr////////r Mr; u/ Ym//JriM/^ 7- Y/U/ t^/////^r/, u//, Jy ^^ {^ Ja//ie// ///ri^u/d^ amyJ€///^/ ^^ul s. ^ V- VTVudislfT. a///^///ru /j^: ^ y^f^,y>i A.TKxinrtor. . rr///'/////r m' <^u/ //J yf//// ^. f '//'///■i jr////r // /^//YYU/// /'/J/'//://yMY//f/ u^ui m.r..yo V . .VTVrirhkltT. e ^ j>-iiim' =9 • ''c^. X v;. 5. ^ ?^ ^K^- v^ IJfa^' ATiw-h*!.'' ■ll^^«''^ Si B..M^n ^ (^ x^i)iin^^'aiii4Jt>to^'> (^:ttax!LtJj^i >)>> So5tO« v^ I\cmuc^ oC ') //f/f/j, ^^rnA (^ *- Sixteen years ago I issued my first work on Book-keeping. At that time it was the universal custom, with those who pretended to keep their books by double entry, to "Journalize" the transactions from the other books previously to posting to the Ledger; it is a source of great gratification to me to know that at the present time three fourths, at least, of all the best mercantile houses have dis- pensed with that unnecessary encumbrance. The very great success which has attended my efforts, and the increasing applications from influential parties, have induced me to prepare a work which shall not only meet the wants of School Teachers and Students, but also be a reliable book of reference for Book-keepers and Clerks ; and it may be presumed that, after twenty years' experience as an Accountant and Principal of the Commercial College* in this city, I have had some facilities for ascertaining the wants of the class for whom I here purvey. It is proper to state, that the article on "Commercial Compu- tations," (with the exception of the opening chapter on Fractions, Decimals, and Logarithms,) has been mostly prepared by Mr. Linton. GEORGE N. COMER. Boston, May, 1861. * See Card at the end of this book. (3) CONTENTS. 1 Book-Keepino — Introductory, 5 Hints to Students, '' Directions to Teachers, ^- Day Book, ^^ Cash Book, ^^ Explanations of Day and Cash Entries, and Posting to the Ledger, , . 34 Ledger, ^^ Trial Balance, 41 and (-.3 Statement, ^ Bills Receivable Book, ^^ Bills Payable Book, ^^ Posting the Bill Books, *'^ Day Book — Second Form, l^ Bills Keceivable Book— Second Form, ^2 Bills Payable Book — Second Form, '3 Sales Book, 1^ Invoice Book, '5 Check Book, ^^ Journal, '^ Accurate Accountant— Test Set, 83 Partnership Set, ^ Commercial Computations, ^^ Fractions, ^^ Decimal Fractions, ^^'^ Logarithms, ^^^ Interest, ^^J Sterling Currency, ^^^ Discount, ^^^ Profit and Loss, ^'^ Percentage, '^" Averaging Accounts, ^21 Exchange, ^^^ Cubic Contents of Boxes, Bales, Ac, 1+t Table for Farmers, ^**''* Table of Cubic Measures, • • ^'^ Equation of Storage, '^'' Appendix— Mercantile Terms, Forms, &c., HS Circular on making Bank Deposits, • . . . ir4 Table of Foreign Moneys, l^^** Questions for Practice — Liquor Agency Account, &c., ifi? Card — Comer's Commercial College, 168 (4) I BOOK-KEEPING. Book-keeping is the art of recording and classifying a merchant's daily transactions, and of keeping an account of his property and debts. Book-keeping is nothing but a series of additions and subtractions system- atically arranged. Whatever amount is placed to the debit or credit of an account is added to that side of the account, and is an offset to, or is offset by, whatever amount may be on the opposite side of the account. Illustration. 1. A. B. buys of me Mdse. 2. A. B. " " " " A. B. owes me 3. A. B. pays me Cash A. B. owes me 4. I buy of A. B. Mdse. I owe A. B. 5. I buy of A. B. Mdse. I owe A. B. 6. I pay A. B. Cash $500 300 800 500 Add. Subtract. 5QQ ^Subtract. 200 300 500 50O Add. Subtract, A book-keeper would arrange such an account, to show the whole transactions at a glance, thus : — Dr. a. B. Cr. Merchandise Cash 500; 00 3 30OlO0!| 4 50000 1 5 1300,00 Cash Merchandise (( a, $ 500' 00 500 00 .300 00 1300 00 The system pursued in double entry serves the following purposes : — 1. To test the accuracy of the posting — the second posting being a check on the first. 2. To show the amount of goods bought and sold during the year, or for any othur given time. 1* (5) BOOK-KEEPING. HINTS TO STUDENTS. 3. To show the profit or loss on the various departments of the business. 4. To keep distinct accounts, under their several heads, of the different branches of stock in trade, and other property. The followinf' are the most important of the books used in Book-keep- ing:— Invoice Book, for Goods bought. Sales Book, for Goods sold. Cash Book, for Cash received and paid ; discount or abatement received and allowed. Check Book, lor orders on a bank for money deposited. Bill Books, for Bills Receivable and Payable. Day Book, for entries which do not properly belong to cither of the other books. Ledger, to contain an abstract of the other books. Stock Book, to contain an inventory of the Stock on hand at the time of taking stock. Letter Book, to contain copies of letters. Various other books may be used, aceording to the nature of the business. Full explanations of these books will be found under the proper heads in the Appendix. For convenience of space, the success in instructing, and to show the facility with which a small, or even a very considerable, business may be done with only three books, a Day Book, Cash Book, and Ledger are all the principal books used in the examples which follow. "DR. TO" AND "OR. BY." It has been a very general practice to use the words To and By as prefixes, as Dr. To, Cr. By, both on the books of original entry and on the Ledger. I have dispensed with these words, feeling that they have done more to con- fuse the minds of beginners in book-keeping than all the words in the lan- guage. Besides, there is not only no use for them, but they absolutely convey a wrong idea. When we say A. B. Dr. To Merchandise, it is not the fact. A. B. is Dr. to us for the merchandise we have delivered to him, and never ^as, and never could be. Dr. to the Merchandise. Some teachers may imagine that the entries on the Day Book are too difficult for learners. To this I can only'say, that a youth, upon his entrance into a counting room, is expected to be able, at least, to copy invoices neatly and cor- rectly. Every entry here introduced is the duplicate of an actual business transaction, and for this I claim the advantage of teaching the student to do here what he may be called upon to do hereafter. (6) HINTS TO STUDENTS. As Book-keeping is an art, and not a science, — that is, a somethmg to be ione^ rather than a something to be known, — Xha mere readmg of this book, or the copying out of its examples, will not be sufficient. There should be such a knowledge of its principles acquired, that — supposmg any form of business to be given — the student shall be able practically to work out such assumed transactions to any desired extent ; so that, when he shall be called upon to undertake the management of a real set of books, he may be perfectly competent so to do. To insure this practical familiarity, the student is re- quired to write out the entries, making all the computations, then post them to their appropriate places on the Ll^cr, and finally to take a memorandum record of transactions, make the original entries in their proper form, and carry them through the books precisely the same as he would have to do in actual business. In a word, to acquire the art of keeping books, we must keep them, just as we learn to swim by swimming. The necessity for writing quickly, and the want of carefulness at first, are the causes why so few clerks, comparatively, write a good hand. But they should remember that this is a most important qualification, and a deficiency hi this respect may be an insuperable bar to promotion. You ought to be careful to write & plain hand. You impose upon your correspondents a very unnecessary and very unpleasant tax if you require them to go over your letters two or three times in order to decipher your writing. A business hand is equally opposed to a very fine hand. A letter in fine, finical writing, adorned with a variety of flourishes, will give your correspondent no very high opinion of you as a man of business. The young clerk should be taught to fold all Letters, Invoices, &c., on a tin, so that they shall be of uniform size, making a neat package, properly labelled on the back, or surface next the eye, with the name of the correspond- ent or seller, date, date of receipt, &c. He should be taught to sign his name in full when receipting for money or goods had for his employer, thus, " For William Ewart, James Jones ; " and not, as is too commonly seen, " William Ewart, J." He should also be taught to make his figures clear and plain, so that a 2 cannot be mistaken for a 3, nor a 3 for a 5. He should also take care that the tail of his 7 or his 9 does not run into the line below, and thus turn a into a 6, and also that the top of his 4 does not reach so high as to turn a in the (7) M' BOOK-KEEPING. tine above it into a 9. He should be careflil, too, In putting his figures under one another, so that the units shall be under the units, the tens under the tens, the hundreds under the hundreds, and the thousands under the thou- sands ; otherwise, when he adds up the columns, he will be in danger of making a " wrong cast." To insure accuracy, a clerk will cast every col- umn twice. The old mode of doing this was to begin at the bottom of each column, adding upwards, and carrying the overplus to the next column, and having found the amount, to reverse the order, commencing at the top and adding downwards. An accountant, however, is always liable to inter- ruption, and frequently when half through an addition of several columns of figures : to enable him, therefore, to leave ofi"at any column, and resume at any time where he left off, without the necessity of remembering the figure to carry, the following method is offered : — 273.51 341.22 12 469..37 17 35 327.14 29 31 29.63 84 29 60.50 35 17 85.70 12 1587.07 1587.07 Here he may begin at either side first ; and if the amounts do not correspond, he can at once see in which column the error has occurred, without the neces- Bity of going over the whole. Quickness can be acquired only by practice. But he would accelerate his Bpced by making his figures plain, and placing them strictly in a line under one another. He should also learn to cast without speaking, for the eye and the mind will go faster than the lips. He will also be taught to balance ; that is, to find the difference between two Bums by addition, instead of subtraction. Thus, if the two sums be and Difference 3741.16 1532.27 2208.89 But he must be taught to proceed by a mental process, and will add the differ- ence to the smaller number, thus : — 1532.27 2208.89 3741.16 3741.16 He performs this operation by beginning with the cents, saying, or rather thinking, " seven and nine make sixteen," "three and eight make eleven," and so on. And thus the two sides of an account are made to balance, that is, both sides are of the same amount. The principle of balancing pervades the whole system of book-keeping. C8) HINTS TO STUDENTS. ror example, we know that if to the amount of cash on hand last night we IddtreTmunT received to-day, and deduct the amount paid to-day the r. mainderTill show the amount on hand to-night, and a novice would very naturally put it down in this form : — Cash on hand last night, Beceived to-day, Paid to-day, Cash on hand to-night, $ 583.71 1623.54 2207.25 1856.42 S 350.83 But an acconntant would arrange these four items in such a way as to form a balance, thus : — On hand last night Keceived to-day 583 11623 71 54 $ 2207 25' Paid to-day On hand to-night 1856 350 42 83 2207 25 When he has placed this sum, $350.83, he adds up the whole, mcludmg this Bum, in order to check the operation, and to be sure that he is nght. It is sometimes thought, that though double entry may be a very proper mode of book-keeping for merchants, it cannot be advantageously apphed to such kinds of business as manufacturing, retailing, &c. This is a mistake It can be applied to erery description of business, and, in allits use would be attended with advantages which can never appertain to single entry Let us take the case of a retailer, as for example that of a Bt-ti-e^' ^ which the articles are very numerous, and the ready -^^-^^ ^^^^^^^^^^ very small, as a single sheet of writing paper, value one cent. ^^^^^^^^^^ a retailer sells in small quantities, he does not usually brcy so. H- P-f^^^^ are wholesale, though his sales are retail. His paper will usually com irom a few houses, his pens from one, his ink from another, and so on Thes w^ be all classed under the one general account of " '^'^'^''^^'oTtZ a e purchases this account becomes debtor, and the parties ^^ J^^ ^^//^f made, or the cash paid for them, are the corresponding credit . J^^- - J gardshis sales: it is obvious that he must either sell ^^.'^'^^'^''''^''^^J. Lney. In the first case, under any system of book-keeping, ««™«^°\^"f be taken of such sales : they will be entered in a Sales Book or a ^^V^^J^^ from which they are transferred to the Ledger, to the debit of the P-^f^^^-^^ and by double entry to the credit of the merchandise account. In the second case, the sale is made, the money put into the drawer, and so the matter ends If any money is received for a book debt, some memorandum of the amount is made, and that deducted from the whole amount received, leaves the re- maining sum to be entered on the debit side of the Cash for Sales of Merchan- dise that day, and by double entry to the credit of the merchandise account. ^^ This goes on till the period for balancing the books, when « stock is taken, and the amount of goods on hand placed to the credit of the merchandise (9) BOOK-KEEPING. m account, the difference between the two sides of which Is profit or loss. The expense account would receive all payments for rent, taxes, wages, insurance, &c. The discount and interest account would be like that of a merchant ; and valuable as such an account is in all cases, it is particularly so to the retailer. Interest is a sort of commercial moth, which secretly but constantly eats into the profits, and the precise amount of mischief ought to be known. Many a retailer would be astonished if he saw at the end of the year what an item this had formed in his business, and to what an extent the profits calcu- lated upon had been diminished by its operation. Thus it is evident that double entry may be judiciously applied to any de- scription of business : the utility may be more conspicuous in some kinds than in others, but there can be no doubt of its applicability to every business. This is not mere assertion, but a proved practical fact. I know of houses in almost all departments of business where this method has been adopted for several years, with the most satisfactory results. Full explanations and directions for applying these principles will be found at page ii. J GEORGE N. COMER'S DAY, CORRECTION. In the entry on the Day of the 23d March, page 11, the amotint of a Draft for £600 at 9 per cent, is erroneously carried out $2904.00, instead of $2900.60 j con- sequently the amount of the " Note to balance " Is wrong. As It would occa- sion the alteration of several plateg to correct this error, it is allowed to remain with this acknowledgment. (10) OR BOOK OF ORIGINAL ENTRY, FOR ALL TRANSACTIONS EXCEPTING CASH. B 8.54 10 Bags ® .75 _Dr. 845.71 7.50 853.21 3a3.21 For my Note at 6 raos. Cash to Balance, $303.21. 10th 17 Alfred Arxot, Berbice, Cr. For 25 Hhds. Sugar received per Christina, Cap_t# Gale ^ >^ 37 @ 61. Net 431.0.21 ® .08 12th Bank of Commerce, Cr. For Check for Specie to pay Duties on Sugar from Berbice " Check to Capt. Gale, for Freight, &c. r 13th 18 William Smithsox, For 11 Bales Shirtinffs r A 276-610 277-609 278-617 279-615 280-614 281-614 282-611 283-626 Dr. 284-618 286-617 286-617 6768 @ .07> 1708 450 30 42 I 00 5126130 550 00 3449 68 828 317 5o; 00 50 60 2158 650 00 42 3449 68 1145 507 60 50 $!| 59072:50 59072,150 (14) DAY BOOK. Boston, l&th January, 18— Drs. Crs. -• •- 7~ $ 69072 50 59072 60 17 12 Alfred Arxot, Berbice, ^^^ For my Acceptance his Draft at 20 days' sight, favor of James Brown 2500 00 2500 00 1 Sth — 500 00 500 ( 19 20 George C. Naylor, ^^^ For my Order on OUvera & Co. for 100 Tons Pictou Coal ® $5.00 30 ^n+h 2000 12 Robert. Elliott, ^r. For my Note due 18th March, given up T)R 00 1 12 For 215 Bbls. Flour ® ^^-^ « my Note at 3 mos. due 23d April 1290 00 710 OC 22d. ._ 1 2000 OC » 2000 6 6 BANK OF Commerce, ^^' For Hiram Low's Note, due 16th February, deposited for collection 00 C.n. 5 28 For Check to Eliot Ins. Co. for Insurance of Merchandise in Store 111 00 111 00 1 ?M. 11 Henry Underwood, Cr. For B. Dodd's Note at 8 mos., beuig his 6 Composition of 50 per cent. 225 00 21 « Abatement to Balance 225 00 450 00 11 04tT, 1 3 House at Brookline, I>k. 1 12 For my Note to Firemen's Ins. Co. for Premium 130 00 13G 00 oufh. — Joseph Woods, ^^' 12 For my Note at 2 mos. 750 00; Cr. r 6 For his Note of same amount, date and time, exchanged for his accommoda- tion > 67513 i 750 00 ■ t V) 67513 60 1 (16) BOOK-KEEPING. Boston, 2(Sih January, 18— Drs. Crs. 23 24 22 25 6 17 Estate of the late Edward Evans, Cr. For the following Property (as per Ap praisal from Probate Court), which, as Administrator, I hold in trust for the Heirs — House and Land at Waltham 75 Shares Exchange Bank Stock 30 " Western R. R. *' John Todd's Note, due 23d June 27th — Alfred Arnot, Berbice, !>»• For Peros & Co.'s First of Exchange on Youles & Wians, remitted this day, for which I gave my check on the Bank of Commerce. Premium 2^ $18.99. Paid in Cash. 29th. _ 67513 50 16 26 27 George N. Comer, ^r. For the following Property, received of the Executors of the late Charles New- hall, being part of the Legacy left me by him — Farm in Watertown, valued at 40 Shares Fitchburg R. R. Stock 30th Bank of Commerce, ^^* For Nolan Reed's Note, due 27th February, deposited for collection 31st ■ 24 House at Waltham, ^^ For Clieck to Boston Mutual Fire Ins. Co. for Premium aiRf.. . 10 Rollins Bros. & Co. For 100 Bbls. Mess Beef 50 «' " Pork 50 « " Mackerel Dr. @ $19.25 19.00 16.00 67513 5(1 9500 00 7500 00 3000 00 1000 00 ^9 21000 00 68 949 68 6000 4000 00 00 760 10000 00 00 760 00 196 1925 950 800 104093 00 00 oo| 195 00 3675 00 104093118 (16) 18 21 5 35 29 20 12 30 31 19 30 DAY BOOK. Boston, 1st February, 18— WILLLIM SMITHSON, For 10 Pieces Black Silk, 10 " Irish Linen, 275 " 5 " Black Cloth, 125 " 6 « Black Doeskin, 112 " Cr Dr 387 yds. @ $1.05 ■ .03 3.25 1.16 For his Note at 3 mos. in account 2d New England Mutual Life Ins. Co., Dr. For Check for Annual Premium Cr — For their Life Policy of Assurance, payable to my Assigns at my decease 4th — _ Olivera & Co., For 21 Bales Shirtings 5tb. Dr. 12,873 yds. Q .082 Real Estate at Buookline, Cr. For the following Items received from the Firemen's Insurance Co. for Damages done to the Buildings by Fire, on the 2d iust. "my Premium Note given up " their Check on Columbian Bank de- posited in Bank of Commerce 6th — Bank of Commerce, Cr. For my Check for Freight, &c., of Mdse. received on Consignment from Defree & Co., New Orleans, to be sold on their Account « my Check for their Draft at Sight in favor of F. Tatlock 8th George C. Naylor, For Defree & Co.'s Merchandise Dr. Drs. Crs. I 400 35 173:25 I 400 25 129 92 1623 232 8000 37 00 00 1094 20 1^1 13^00' 1870 300 1800 00 00 00 2200.00 $ Id 18365 j 34 1115 1623 232 8000 7? 37 00 00 1094 20 2000 00 2100 00 2200 00 1&305 34 2* (17) e BOOK-KEEPING. DAY BOOK. Bosionj 9th February^ 18— Drs. Crs. '« 6 sa 34 14 QciNCY, Dane & Co., Dr. For my Check for this Bum advanced in consideration of Invoice of Merchandise received on Consignment, for sale ou their Account 12th M. LovERiNG, Dr. For 250 Ems. White Wove Letter, ® 4 mos. S $3. $750 «« 250 « Blue Laid Letter, @ 6 mos. @ $3. 750 Cr For S. Jones' Note, Ist Feb'y, 6 mos. " William Hews' Note, 2Gth Nov., 5 mos. " N. Coe's Note, 6th Nov., 4 mos. " Interest to Average " Cash to Balance, $432.29 13th William Holmes, Dr. For 2 Cases Dark Brown Cloth, 3 6 mos ^ 559 12 pieces 247 663 13 " 2f»3 1 510 yds. @ 2.62« 30 " Defree & Co.'s Merchandise, ® 3 mos. 33 " Quincy, Dane & Co.'s « 4 " Cr For his averaged Note dated 28th Jan. @ 5 mos. 14th Shipped to Philadelphia, and consigned to Felix Zahnt to be sold on my Acceunt — cwt. qri. lbs. 6 Casks Cocoa, Gross 26 2 4 Tare 1 2 23 24 3 200 Boxes Oranges 200 " Lemons 100 «« Muscatel Raisins 200 Drums Figs 100 Bbla. Bald\vin Apples 60 " Cranberries 6 @9.90 2.95 2.12 2.25 1.65 2.00 7.25 $ 18366 34 (18) 600 00 500 00 i I 300 00 I I 250 00 1338 71 75 800 00 95000 245 62 690 1 Oo' 424 OOJ 225I00I 330|00, 20000! 362I5O1 25398 92 18365 34 600 1067 00 71 3068 76 2377 12 25398:93 Boston, ibth February, 18— DR9 • Crs • $ 25398 92 25398 92 36 CONSIG^fMENT FROM VAUGHN LLOYD, DR. For my Check for Duties on Merchandise received per Ship Snowflako, from Glas- 1 5 gow, for sale on his Account 650 00 650 00 Shipped per Wanderer, Capt. ]Martin, and con- 37 signed to Davis & Moore, St. Thomas, to • 38 be sold on Account of Elias P. Young and myself Invoice of Flour bought of R. Jones & Co., 6 and paid for by my Check Invoice of Beef and Pork, bought of S. Peers, 5000 00 12 for my Note at 3 mos. Invoice of Soap and Candles, bought of T. 4500 00 38 Lane & Son, for E. P. Young's Note Freight, Shipping Charges, Insurance, &c, 6500 00 38 paid by E. P. Young 19th. 1375 00 i 16375 00 39 Felix Zahnt, Dr. 30 For Defree & Co.'s Merchandise 10th 2800 00 2800 00 30 Consignment from Defree & Co., Dr. Per Account Sales rendered this day — 40 For Commission 5 per cent, on total Sales, $5800 290 00 41 " Guaranty on ditto 22 per cent. 145 00 28 " Advertising 15 50 31 " Defree & Co. Net Sales to Balance 9Mh. 5043 25 6493 75 38 Elias P. Y'^oung, Cr. 6 For his Note at GO days, to close Account— due 24th April 1312 50 1312 50 91 Bt. 42 Vaughn Lloyd, Glasgow, Dr. For my Acceptance his Draft in favor of K. Slack, at 20 days' sight, £800 12 Exchange, 9^ 3875 55 72 1 3875 55 1 $ 55905 55905 72 (19) \m 44 46 46 33 12 1 1 43 32 BOOK-KEEPING. Boston, 22d February, 18— DBS. Crs. Shipped per Dauntless, Captain Rcid, and con- signed to K. & II. Parkinson, London, to be sold on joint Account of them, George A. Thompson, and myself — The remainder of Quincy, Dune & Co.'s Consgt. taken at highest market value Invoice of Flour, bought of G. T. Bates, for my Check on Bunk of Commerce Invoice of Indian Meal, bought of J. Kent, for my Note at 60 days 100 Bbls. No. 1 Mackerel @ $15.00 100 « Mess Beef 19.25 23d 33 Consignment from Quincy, Dane & Co., Dr. Per Account Sales rendered this day — 40 For Commission, 2^ per cent, on total Sales, $22-20 41 ** Guaranty 23 per cent, on $2*220 28 »« Advertising 14 « Quincy, Dane & Co., Net Sales to Bal. 26th Bills Receivable, Or. For William Holmes' Note of 28th Jan. at 5 mos., discounted at the Bank of the Republic this day — passed to my credit in Account *' Discount 28th 55905 Louis J. Ripley, Dr. For V. Lloyd's entire Consgt. subject to de- 36 fcenture for exportation 7683.50 Cr For his Note at 4 mos. Balance in Cash, $2683.50 . 28th 6 Bank of Commerce, Dr. 6 I For Jos. Wood's Note of 25th Jan. for colL 1270 00 72 3800 3565 1500 1925 00 00 00 00 55 50 55 50 11 /i>| 2090 3024 40 61 5000 35, 00 750 790i: 00 H 97 55y05 72 12000 00 2213 50 3088 75 50C0 00 750100 97 39 34 30 40 41 42 5 6 5 3 14 2 43 45 48 pa c S i I- ?9017 I (20) DAY BOOK. Boston, 1st March, 18 — 9 Drs. Crs. Felix Zahnt, Philadelphia, Dr. For Amount Net Sales of my Consign- ment per his Account Sales received this day ^ 2d Consignment from Vaughn Lloyd, Dr. Per Account Sales rendered this day — For Commission, 5 per cent., on total Sales, $7683.50 " Guaranty 22 per cent, on $5000 " Vaughn Lloyd, Net Sales to Balance Average, due 4th June 3d Bank of Commerce, Dr. For N. Coe's Note, 6th Nov., due 9th inst., deposited for collection Cr For Check to Firemen's Ins. Co. for Re- insurance of House at Brookline , _ 5th Quincy, Dane & Co., Dr. For my Bill of Sale of tVth of Ship Sultana " Check on Bank of the Republic, to Balance .6th. R. & H. Parkinson, Manchester, CR. For my half first cost Invoice of Mdse. received per Eagle, to be sold on joint Account, £1500.0.0 Exchange, 9^ 7266.66 — 7th Dr. Swift & Winn, (Cash within ten days,) For 10 Pieces Irish Linen, 187 @ .83 $155.21 10 ' ' Scotch Cambric, 123 .50 10 «« French Merino, 310 .52 61.50 161.20 $377.91 (21) 3041 384 125 6498 00 3041 09 250 130 3000 2549 3633 17i 00 03 00 00 33 7007 250 130 5549 3633 20 00 00 17 33 19610 70 19610170 10 BOOK-KEEPING. 7 1 13 1 ■0^.5 o 19 26 43 19 Boston, 8th March, 18— Drs. Crs. Albert Knowles, For 95 Bbls. Family Flour 9th Cr. e $5 WILLIA3I Jones, For 50 Bbls. Family Flour 10th Dr. @ $6.25 G. T. Reid, (To be settled for in a few days,) Dr. For 16 Hhds. N. O. Sugar Gross Tare cwt. qrs. lbs. 245 16 17 1 12 227 3 . 12th. _ 4 @ OSa 1936.21 George C. Naylor, For my Deed of Farm in Watertown Cr Dr. For this Amount deposited by him to my Credit in Bank of the Republic 15th 31 Defree & Co., Dr. For my Draft of this date on Felix Zahnt, remitted to J. D. Bean, N. Y., on their 39 Account, per advice 16th 39 Felix Zahnt, Cr. 6 For his Note of this date, at 60 days, to Balance Account 32 « Interest added 19th 48 Merchandise Co. R. & H. P., 46 For R. & H. Parkinson's half first cost 45 " their half profit 21 " my half profit 20th Dr. G. T. Reid, Cr. For Sampson Snow's Note at 6 mos., from 6th Oct., his favor on Ace. of Mdse. sold him on the 10th inst. Balance in Cash, f 136.21 19610 475 312 6550 8750 70 00 50 3243 2597 27 3633 304 304 1800 00 00 25 33 17 17 00 19610 475 312 6550 8750 70 00 50 00 00 3243 2625 25 02 4241 1800 67 00 $1 47608 14! 47608; 14 (22) DAY BOOK. 11 Boston, 23d March, 18— Drs. Crs. 47 45 Thomas Hall, dr For my Deed of Five Lots of Land at Chelsea, Nos. 2, 4, 5, 6, 7, on plan drawn by G. W. Light Cr For his Draft on Smythe & Hall, London, for £600. Exchange @ 9^. Remitted the above Draft to R. & H. Parkinson, on account " his Note at 30 days, to balance 24th $11 47608 6000 43 3 Bank of the Republic, Cr. For Check to J. Wales in full, for rebuilding house at Brookline 28th 32 Joseph Wood, Dk. For Check on Bank of Commerce, to take up his Note of 26th July " 63 days' Interest Cr For his Note of this date at 60 days, with interest added, to renew the above — 3l8t Z. P. Brandt & Co., Cronstadt, Cr. For 20 Bales Rus. Leather, 100 sks. each 3862S7 Charges. For Entry & Customs so Shipping, &c.3« 66.00 27.00 21.56 19.56 69.34 89.34 Mats & Weighing, 20 ks. per pood Bracking 9-78 Cartages Postage 2.78 Brokerage & Commissions Del Credere « Bill Brok'ge & Stamps 21-34 Consular Certif.a-er int. on 3862.47 86.6T 75 cts. = 1 silver rouble. 4155,27 — Dr For Check on Bank of Commerce for their Draft at sight 14 00 2000 00 47608 750 7 00 88 3116 45 58482147 14 2904 00 2096 00 2000 00 757 88 3116 45 58482 47 hJ!??,?""* ffiust stop here nntil the whole 1« posted, and a Trial B»lanc« for tbo montb taken. He may then proceed to make the closing entries, as foUows : - (23) 12 BOOK-KEEPING. Boatan, 3l<< Marc h, 1»- ESTATE OF THE LATE EdwaRD EvANS, CR. For Dividend on Exchange Bank Stock " Dividend on Western R. K. Stock Dr For Insurance on House at Waltham $195 Less Kent received jg^ !>!»• Crs. House at Waltham Exchange Bank Stock Western R. R. stock John Todd's Note due 23d June! 31 St. __^^ £ - -^ S K a o -■? 23 t « 2 t. .- «-■ tP s o o •c^vs o ■" c s r •• -^ • 300 120 00 00 420 00 45 00 I 45 00 9500|00| 7500 00 I 16 Schedule of Assets, to be credited, pro /orma, to their respective accounts, to balance the books — Merchandise per Stock Ace. taken this day Ship Sultana, my i^th, appraised at Real Estate at Brookline, « k Roal Estate at Hiolsea, 3 lots, «« '^Y. 2Qth January. Certain property having been bequeathed to G. N. Comer, which ho puts into this business, and thereby increases his capital, he is at once credited for the amount. Accounts are opened with Farm in Watertown and Fitchburg K. R. Stock, and each debited for its respective amount. Cash. The part of the tej^acy received and put into this business by G N Comer in cash, is to be at once placed to his credit, and to the debit of Cash at the end of the month. I^-^Y. 30th January. Bank of Commerce is at once debited, and BiUs Eeceivable credited at the end of the month. — See entry of 22d inst. I>-^Y. 31s; January. House at Waltham is debited, and Bank of Commerce credited. — See latter part of entry of 22d inst. I^^Y. 31s; January. Rollins Bro's & Co. are at once debited, and Merchandise credited at the end of the month. Cash. G. N. Comer is at once debited, and Cash wUl be credited in the total artlount paid out during the month. It must be remembt^rcd that the amount expended by a merchant for hia personal expenses is entirely separate and distinct from his busmess expenses I now proceed to collect the items of merchandise, bought and sold • bills receivable, received and delivered ; bills payable, issued and redeemed ' And first, I prepare a piece of paper with the respective headings and pages of the Ledger at which those accounts are opened. The accounts alread'y debited and credited have the figures of the page in the Ledger to which they have been posted placed on the margin of the Day Book. On the 2d inst I find that Merchandise ought to be credited $787.50 : this I enter on the credit side of the Merchandise account on my paper, and mark on the margin of the Day, opposite the entry, the figure 1, to show that Merchandise is posted in the' Ledger at page I. On the 3d inst. I find Merchandise ought to be credited (40) POSTING. $1223.80, and Bills Receivable debited $1223.80. These I enter on my paper, and mark on the margin of the Day the figures 1 and (j to show that these accounts are posted to those pages. Illustration. Ledger Page 1. Merchandise, Date. Db' s. Date. Cr' 8. DateJ i 6th 2158 42 2d i 787 1 50 3d 8th || 550 3d 1223! 80 23d 10th 3449 68 13th ' 507160 2oth 12th 1145 50 20th 1290 2Gth 31st 3675 |7303 GO 7483 90 Ledger Page 6. i Ledger Page 12. Bills Receivable. Bills Payable. Dr's. 1223 80 225 750 1000 3198 80 Date, i Ck's. 22d I 2000 30th '^ 760 2760 Date.l De's. Date.! Cr's |l 20th ,2000 2000 8th : 550 16th I 2500 20th jj 710 24th! 130 25th I 750 14610 Thus, the total amount of merchandise bought . . " do. sold . . . " bills receivable received " do. delivered . " bills payable redeemed " do. issued . . IS 7303.60 7483.90 3198.80 2760.00 2000.00 4640.00 Cash Book. The total amount of cash received is 6798.95 " " " " do. paid « 6691.87 The total amount of merchandise sold for cash " 2183.95 " do. bought for cash . . . . " 847.88 " cash paid for expenses ...'... ^ " 550.00 Tlie whole of the entries from the Day and Cash being now posted, I pro- ceed to take the TRIAL BALA:NCE. And first, I prepare the sheet with appropriate headings ; the centre column to contain the names of the accounts, the adjoining column at the left to con- tain the page of the Ledger at which those accounts may be found ; the •' Amount " columns to contain the total of the debits and credits posted to every account during the month; the "Difference" columns to contain the differences between the debits and credits, that is, the balance, if any, remain- ing to the debit or credit of each account at the end of the month. Jn the next month tliey Avould show the balances for two months, in the next for three, iind so on ; so that the total amount of all tlie debits and credits, and the total balances of debit or credit of each separate account, may be seen at a glance. If the work is correct, the footings of the " Difference " columns will correspond in amount with each other ; the footings of the « Amount-' columns will cor- respond with each other ; and as an additional check, add together the footing of the amounts on the Day for the month ; the amount of cash received and the amount of cash paid, and the footing of these amounts will correspond 4* C41) 4 f \ I I BOOK-KEEPING. with the footing of the " Amount " columns, and prove the Trial Balance. If the footings do not agree, there is some error, which must be found out and rectified. It is customary to have the trial balances in a separate book for that purpose, which is kept in the custody of the mcrcliant. There are various forms of trial balances. Where the accounts are numerous, and not much variation in the names, the book may be prepared to contain three months' trial balances, without re-writing the names, adding only those which may have new accounts each mouth. Illustration — in miniature. Namei. J.VJfUARY. February. March. Led. Db's. Ce's. Db's. Cb's. Db's. Cb's. Page. Diffi Am. Am.| Difflj Diff. Am. 1 1 Am. 1 Diff. Diff. Am. Am. Difl: • Day. EXPLANATIONS FOR FEBRUARY, 1&-. 1st. Wm. Smithson is at once debited, and Merchandise will be credited at the end of the month. In the second part of the entry Smithson is at once credited, and Bills Re- ceivable will be debited at the end of the month. Cash. Balance fro^p last month. All the cash received, including this balance, and all the cash paid, was posted last month, so that this balance cannot be posted again ; it is merely brought down for convenience in balancing the cash, without having to turn to the Cash account on the Ledger, which of course shows the same balance. Captain King, Net Freight. The account of Ship Sultana is at once credited, and Cash will be debited at the end of the month. Sidney Sloan, Clerk. This is carried into the Expense column, and will be debited in that account, and the Cash credited at the end of the month. It is customary to open accounts with the clerks, debiting them with the amounts drawn out by them, and crediting them from time to time with the amount due to them for services ; the effect of which latter operation would be to debit Expense. In this set of books, as there are only a few such entries, I have carried the amount into the Expense account, without the intervention of an account on the Ledger with the clerk. Day. 2d February. From this entry it appears that the N. E. M. Life Insurance Co. have granted to me a written instrument, called a Policy of Assurance, whereby they promise to pay to my assigns, at my decease, the sum of $8000 ; the consideration for which being the sum of $-'.'52, paid by me ; and further, that I shall annually pay to that Company, during my life, the sum of $232, which (42) POSTING. is called the Premium of Assurance. The Bank is credited for the $232, and Profit and Loss debited, because it is to me personally a dead loss ; at the same time, however, it is creating a valuable piece of property for my heirs or my creditors in case of disaster. An account is opened with Life Insurance, which is debited with the amount of this Policy, and one with Suspense, which is credited for the same amount, for the reason that the amount of this Policy cannot be received by me. During my life it is in suspense — I am tlie mere trustee, holding it for those who are to be benefited by it after my decease. No person or persons can be credited for this amount, as I do not owe any one any thing on account of it. The advantauge of keeping such an account in this way must be apparent to those who may have to examine the affairs of deceased persons. It is a record which cannot be overlooked. Cash. House at Waltham is at once credited, and Cash will be debited at the end of the month. Sextant and Telescope presented to Captain King. In this case Profit and Loss is debited, for the reason that although it may be a judicious action to give a faithful servant tangible evidence that you appreciate extra exertion, still it was not absolutely necessary ; it was not part of the agreement, and cannot properly be termed an expense. Neither would it be proper to charge it to G. N. Comer, because it is an outlay on account of the business from which profit may arise. Cash will be credited at the end of the month. Day. 6th February. The Bank is at once debited for the amount deposited j Bills Payable will be debited for the amount of my premium note returned to me, and Real Estate at Brookline is at once credited for the whole amount received of the Insur- ance Company in settlement of the damage. Cash. itself. Day. H, Tucker, Stationery. This is one of the expenses, and explains Uli February. Whenever any goods are received on consignment,— that is, for sale on ac- count of otlxers, — we do not give any person credit for those goods, because we do not owe for them : we have not bought them ; we merely hold them in trust on account of the consignors, and make a memorandum entry of their receipt. When, however, we liave occasion to pay out any thing on account of those goods, or when we may make sale of any portion of tliem, then we open a representative account, such as Consignment from Defree & Co. This we debit with all charges, and credit from time to time with the amount of the sales. This will be further explained upon the closing of the consign- ment account. Consignment from Defree & Co. is debited, and the Bank credite* for the dieck to pay freight, &c. In the second part of the entry, Defree & Co. are debited, and the Bank credited for the amount of the check to pay their draft. It is customary with commission merchants, when goods are consigned to them for sale, to make advances, if desired, to the consignors, for a part of the value of the goods consigned, charging interest on the amount advanced. But such advances are properly u charge against the consignors themselves, and not to the consignment, although there is a lien upon the goods for the amount advanced. (43) H> (I \l BOOK-KEEPING. Cash. Drayage and labor on consignment from Defree & Co. Is explained above. I>AY. nth February. George C. Xaylor is debited, and Consignment from Defree & Co. is credited. Cash. A. Arnot's draft, which I accepted on the 10th ult., being due this day, and lodged at the Trader's Bank for collection, I send the cash there and take it up. Bills Payable will be debited, and Cash credited. Day and Cash. 9th February. See second part of entry of the Gth instant. Cash. Farm in Watertown is at once credited, and Cash will be debited. Day. \2th February. In this case certain merchandise was sold on four and six months' credit, and then certain notes of hand, falling due at different times thereafter, for a part of the amount, were received, and cash for the balance. As far as the posting is concerned, the entry is explained in that of the 8th ult. Bills Re- ceivable and Interest are debited for their respective amounts, and Merchan- dise is to be credited for the amount of the bills «ud the interest. In posting the cash. Merchandise will be credited for the balance, $432.29, and Cash wiU l^ debited. When we receive a bill of exchange, draft, or note of hand, in account, we give credit for the receipt, but it does not follow that we discount the paper. Discounting bills is not the business of a merchant ; that is the province of the bill broker and banker. Such paper is received as additional security for the payment of the debt. In rendering an account current we give credit for items of this charact<-r on tJie days on which the cash is, or is to be, received ; allowing interest on those amounts received before the day our account is due, and charging interest upon our account from the time it is due to the time of settlement. In this case, therefore, the balance in canh must be such a sum, which, if put at interest, would in the given time produce such an amount, as, added to the value of the notes at that time, will be the exact amount to cancel our account. The workings of this transaction will be found under the head of Accounts Current in the Commercial Computations, and will repay a careful study. Day. Vith February. Here I sold certain merchandise of my own on six months' credit, together with a quantity of that consigned to me by Defree & Co. on three months' time, and of that consigned to me by Quincy, Dane & Co. on four months, and received a note for the whole, payable in five months from the 2Sth January, which would be due on the Ist July, the day on which the above bills of goods would average due. It must be remembered that, although bills of exchange and notes carry days of grace, accounts do not ; so that a note in payment for goods ought to^H? dated at such a time as that the last day of grace will fall upon the day when the credit for the goods expires. Cash. Farm in Watertown is debited, and Cash will be credited. POSTING. I*AT. 14^^ February. Whenever we consign goods for sale on our account, we cannot debit any person for those goods ; but we open a representative account, such as Ship- ment to such and such a person or place, debiting that account with the cost and all outlays upon the consignment, and crediting it with the amount of net sales when advised. Shipment to Philadelphia is debited, and Merchandise will be credited. The same for the amount paid on the cash for this day. Day. See entry of the Gth instant. Wth February. Cash. iQth February. Estate at Brookline is debited, and Cash credited. 3^ AY. 17/^ February. In this case I consigned certain merchandise to be sold on joint account of E. P. Young and myself. That is, we are each interested one half, so that Young is debtor to me for his half, and Shipment to St. Thomas is debited for the other half. Then the Bank is credited for the check I drew ; Bills Pay- able is credited for the note I gave; and Young (who of course is to pay his own note) is credited for the amount of the note he gave, and also for the amount he paid in cash, leaving him indebted to me, on this transaction, in the sum of $1312.50. I>-AY. iQth February. Felix Zahnt. See entry of the 8th instant. I now render the Account Sales of the Merchandise consigned to me by Defree & Co. ; but first I credit Commission with the amount of my commis- sions for effecting the sales ; Guaranty, with the percentage I char"-e for Guar- anteeing that the goods sold on credit shall be paid for at maturity"; Expense for the amount I charge for advertising ; and Defree & Co., for the net pro- ceeds after deducting the total amount of the charges, including those previ- ously posted, from tlie total amount of the sales. I then debit the Consi"Ti- ment account with the amount of commission, guaranty, expense and the net proceeds transferred to Defree & Co., and so close the Consi^Timent ac- count. ° Cash. I now open an account with the Bank of the Republic, debitin<^ it for the amount deposited, and crediting the Cash at the end of the month. ° I>AY. 20 i I: t BOOK-KEEPING. ^^^- iSth March. Defrec & Co. arc debited, and Felix Zahnt is credited. Tliia entry is governed by the same principles as that of the ISth January. ^^^' . IGth March. Felix Zahnt is credited $2,597.75, Interest is credited $27.27, and BiUs Ee- ceivable is debited for the whole amount, being the face of the note. Cash. Bills Payable will be debited, and Cash credited. See entry of the sth ultimo. ^^S"- 19/;^ March. Merchandise Co. R. & H. P. Is credited, and Cash will be debited. Having lent P. C. Jenks $2500 on call, - that is, to be paid on demand, - 1 Zcl \uT '"'T ' """?'' ^' ^'^^*^^ ^""^ '^^ ^'"^^'^t' ^«d Cash wUl be credited. feucJ, an account saves the necessity of opening accounts with every person ^y Sw "^ "" ""' "'"' "^ '''''' *^°'' ''^"^ ^^'^^"^ ^^ ""^y ''^^^^- hah^oft^;trnfif^'p''Tr ff '^^^"^^^^^ "'^ir h«lf first cost, and for their chiLle Co E & vjT ""h ^r,'' "'^"''-^^ ^^•* '^y ^'^'^^ ^f '^' Profit' ^d Mer- cnan-iise Co. K. & U. p. is debited with the whole to close. ^-^^- 20^A March. G. T. Reid having settled for the goods he bought on the 10th instant it is treated as a sale this day. Bills Receivable will be debited, and ilerchandise ^hef^i^l s:t:ii! ^ '-''-'^ ^^ ^-^^-^- -^^-^ for^h^tri^ ^'^^- 2Sd March. R. & H. Parkinson arc debited for the amount of the bill of exchan^re rc^ mitted to them ; Bills Receivable will be debited for the amount of HaU'» note, and Land at Chelsea is credited for the whole. I>'^Y. 24-^ March. Rank of the Republic is credited, and Estate at Brookline debited. ^•^^- 28th March. Joseph Wood heing unable to take up the note he gave me on the 25th of January, due this day, I have loaned him $750, and taken his note at CO davs for that amount and the interest addo 45 14 3 10 25 27 47 2 18 89 34 37 44 06 46 64,65 U 8 (52) 18- I Jan. 1 stock on hand Bought Do. Bought March Bought «' Do. «' 31 Proflt t D. Day or Day Book, ic. Cash 01 Gash Book tDl Dl,2 tC2 C4 D9,ll C6 D13 12500 7303 00 60 847 88 18— ■Jan. §20051 4044 M095 00 48 Feb. 12 3591 2700 3231 45 00, 13 March « 31 $1 34218 18 Fold Do. Sold Do. Sold Do. Stock on hand § This method will be found rery convenient, saTing long additions every month. Dl,4 CI ! D5,8 C3 Do.u C5 D12 74a3 90 2183 95 901)? 85 10418 55 2890 lie 22982 56 2112 50 3423 12 5700i00 »: 34218 18 1 Dr. Ship Sultana. Cr. (2) 18- 18— Jan. 1 My^thjcoat Dl 12500 00 Feb. 1 Mar.31 Pwftt . D13 4000 00 Mar. 5 " 31 $ 16500 00. Net Freight Quincy, Dane &Co. ^ My 7 appraised at C 1 D9 D12 2500 3000 11000 00 00 00 $j 16500 00 Dr. Real Estate at Brookline. Cr. (3) 18- 18— Jan. 1 Valued at Dl 10000 00 Feb. 5 Firemen's Ins. Co. D5 2000 00 « 17 T. Mason, Repairs C2 125 00, Mar.31 Appraised at D12 10500 00 « 24 Firemen's Ins. Co. D3 130 00 oo' t (( (( Loss D13 385 00 10255 Feb. 16 J. Wales, Rebuilding C4 500 00| / Mar. 3 Tiremen's Ins. Co. D9 130 00 / " 24 J. Wales, in fuU Dll 2000 00 / $ 12885 00 »1 12885 00 Dr. Cash. Cr. (4) 18— Jan. 1 it On hand Received R«o«iTed Received Dl CI C3 C5 350 6798 00 95 95 78 73 32 18— Jan. Feb. March " 31 Paid Paid Paid BalaoM { C2 C4 C6 D12 6691 22504 87 17 Feb. 7148 22385 29196 19750 260 04 80 March 29534 19672 21 » 49207 05 $1 49207 05 • For convenience of reference, and to save fpacc, each account is numbered to represent a page on the Ledger. In actual business, the true policy and economy is to open an account on the head of each page, and not to open a second on a page until nearly all the pages on the Ledger have beep, appropriated ; by that time you will have ascertained which of your customers are likely to want a ioag and which o' them a short spaoe. It \t not of any importance wher* •n aooouot ii opened on the Ledger, as the Index regulates that. 5* (53) If %\ III I 11 ^i Dr. i 1*- Jan. 1 Dtfod* " 6 Do " 22lH. Low, CoU. « 29Depodt " 30 X. Eeed. Coll. •eb . BaUno* u 1 DapoMt «( 5 Do. il 17 Do. (( 28 J. Wood, Con. March BaUnoe " 3Jf. Coo.CoU «* 19 Depo€it " 3r Do. Dr. 1*^ Jan. 1 Feb. BUI Book Ktceired March R«a«iTMi Dr. 760 00 13260|00|'| BOOK-KEEPING. Bank of Commerce. 18— 8000 00 'Jan. 12 SOOjOoj «« 22 20OO 00 2000,00, ^B^ (5) <« or I Dutin Mid freight Biot Iiuunuice Co. EicJimje oa Barbica 31.B. M. Firelns. Co. " " B.iM.c, 108581 82' [Feb isoojooi « l870jOoj 2000 J0(> 750 001 1145 111 W9 vjr, 1085> 50 00 68 00 82 2 Jr.E. M.LifelM.Co. 6 Con*gt. Defreoft Co. y QuiBcy, Dane ft Co. 15 Cooift. V. Uojd 17 Shipt. to8t. Tfaomaa 22 . Shipt. to Londoa 28 Cash Account Balance $ 13260 00 2:32:00 2ioo!oo 50 (( 26 Cash C2 1500 00 Mar. 9 Merchandise DIO ! 312 II 50; * $; ' 2600 00 1 1 Dl Cr. (13) 2600 00 2600 00 _„ ._, ... ■ papes, setting ( . fBond, and affixing the number of the new page to the Index. (55) mm I If II ^1 BOOK-KEEPING. DR. QuiNCY, Dans & Co. Cr. (U) 18— Feb. 9| Advance Mar. 5 .-^Ui SWp Saltan* " 5 Check to balance D6 D9 D9 SOOOO'Jau. 1 3000 00 " 5 2549 17 Feb. 23 Former Aooount MerchuKUM Net Sale* D2 ! D8 i 1800 00 215S 42 , mX) 75 $ ur49 17 ! GWy 17 Dr. IS— Jaa. 24 Cub C2 Daniel Davis . Cr. (16) j 18— 950 00 Jan. 1 Former Aocoont Dl 950 00 Dr. - George N. Comer. Cr. (16) 18— Jan. Sl'cMh I Feb. 2S cish Mar.30 Cish " 31 Net Capital C2 C4 C6 D12 $ 200 00; 20000: 200 00; 58808 45| 594<38 45' 1!^ , Jan. 1 Net Capital « 29 Ex'rs C. Newhall « « I Do. Do. Mar 31 Pn»ft» Dl 38fjO0'0O D4 1 : 10000 00 CI ! 1 2000!00 D13 88G8j45 $ ' 594C8 45 Dr. Alfred Arnot, Berbicc. Cr. (17) 18— Jan. 16 " 27 Aeot. faTor J. Brown Draft on Toules&W;an D3 D4 \ 2500 910 I IS- 1 Tiio. 10 i ait9 Mdee. per Christina Dr. William ON. Cr. (18) 18— Jan. 13 Feb. 1 n Bales Sbirtinc* Mercbanj .i .< i.^uure or interlincitioQ, is that « • *an iBipiciouj appeaiaaee, but by an entrj, eiplanatorj of the miatake, on the Day Book, and from (56) poeted Db. LEDGER. Olivera & Co. 18— 1091 20' i Jan. 18 Mar. 5 Or. far. 0. C. Naylor Cash D3 C5 Cr. (20) 500 00 594 20 1094 20 Dr. 18— I Jan. 23 H. Underwood " 27,Pero3&Co. Premium Feb. 2 Present. Capt. King " " Life Ins. Premium Mar. 31 Expense, Int.. &o., 4c. " " G. N. Comer, Net Profit D3 C2 C2 D5 D13 D13 Profit & Loss. Cr. (21) 225 00 99 00 18 150 232|00 2195 1 91 886845 11090:.35 18 — I I Mar.l9jMdae. Co. B. & H. p. 'd 10 31 Merchandise, &c., &0. ;D 13 3(H 11386 11690 17 18 35 Dr. 18— Jan. 26 Mar ,31 Estate £. Erana Do. Do. Exchange Bank Stock. D4 D12 » 7500 300 00 00 ooj 18- Mar. 3 " 31 7800 Dividend Estate £. Evans Dr. Estate of the late Edward Evans. 18— Mar 31 (( (( Paid to Heirs House at Waltham Trust Property C6 D12 D12 «! 1375 45 21000 22420 00 [!1^ OOjJan. 26 00 00 Mar.31 Trust Property Do. Do. Inoome Cr. (22) C5 D12 300 7500 7800 00 00 00 Cr. (23) D4 C 1 !D12 $ 21000 1000 420 00 00 00 22420 00 Dr. House and Land at Waltham. 18- Jan. 26 " 31 Estate E. Erans B. M. Fire Ins. Co. 18- D4 9500 00 Feb. 2 D4 195 00 Mar.31 $ i ! (( <( 9695 00 ; J. Holmes, Rent Estate E. Erans Do. Do. (57) Cr. (24) CI D 12 150 00 45*00 9500,00 9695 00 ■ n ill Dr. BOOK-KEEPma. Western R. R. Stock. Cb. (25) 18— Jan. 26' Estate E. Evtiia Mar.31 Do. Do. D4 D 12 |118- I 300000; Mar. 3^DlTidend 12o!o0 " 31 but«£.£T»iii 3120 001 C5 D12 120 00 3000 00 3120 00 Dr. Farm in Watertown. Cr. (26) 18— Jan. 29 Feb. 13 Mar.31 Ez'n. C. Newball W. Wood, BepaiM Profit D4 C4 1 D13 6000 175 512 1 00' 00 00, 18— Feb. 9 Mar. 12 A. BkHMi, Rent Q. 0. NaylOT , C3 D 10 1 1 137 00 6550 00 1 «| (5687 1 6687 00 Dr. FiTCHBURo R. R. Stock. Cr. (27) 18- Jan. 29 Mar.31 Ez'n C. N««UU Do. Do. 18— D4 4000 00 Mar. 3 D13 f 160 00 00 1 « 31 4160 1 DiTidead AppniMdM C5 D12 160 00 4000 4160 00 00 Dr. Expense. Cr. (28) 18- 18— Jan. 3 Fitting up Store, &0. C2 550 00; Feb. 19 u 22 Eliok In*. Co. D3 111 00 " 23 Feb. Clerk, ko. C2,4 225 00 Mar.31 March B«nt, *e. C6 910 25, 25 • 1796 Conagt. Defreo k Co. Do. Quisey.Duie kCo. Profit k LoM to b*l. D7 15 D8 11 D13 1769 f 1796 50 75 00 25 Dr. Suspense. Cr. (29) 18— Mar.31 n. e. x. L. lu. Co. D12 8000 00 18- Feb. 2 Lifelni. Potky D5 8000 00 Dr. Consignment from Defree A Co. Cr. (30) 18— 18— Feb. 6 Freight, *e. D5 300 00 Feb. 8 a. C. NkjkR D5 2200 00 u u Drajageaad Labor C2 6 25 « 13 Wm. Hohnet D6 800 00 *« 19 Acoonnt SiUm D7 • &493 75 00 « 19 Felix ZatiDt D7 2800 00 5800 J ♦ 5800 00 (58) 7 i ^ Dr. LEDGER. Defree & Co., New Orleans. Cr. (31) 18— Feb. f) Mar. 15 Draft far. F. Tatlook Mj Dft. oc F. Zahnt $ D5 DIO 1800 3243 1 00: 25 25 18— Feb. 19 6043 Net Salea $ D7 5043 $; 5043 25 25 r )r. Inferest. 18- 18— ■" Feb. 12 M. Lorering D6 17 71 Mar. 16 Felix Zahnt'a Note « 26 W. Holmea. digot. D8 64 35 06 " 28 « 3] J. Wood's Note P. C Jenks, Lo&a Profit & LoM to bal. $ 82 Cr. (32) DIO 27 27 Dll 7 88 C5 6 00 D13 $ 41 91 82 06 Dr. Consignment from Quincv, D.\ne & Co. Cr. (33) 18- Feb. OjDrayage. &o. ** 23 Acoount Sales C4 D8 $ 1 6 2213 1 50 00' Feb. 13 " 22 2220 Wm. Holmea Shipt. to London Dr. » Shipment to Philadelphia. D6 D8 950 00 1270 00 2220 00 Cr. (34) 18— Feb. 14 Mar.31 Merchandise Freight, &c. Profit 18- D6 2877 12 Mar. 1 C4 171 00 D13 492 88 00 3041 Felix Zabnt D9 $ 3041 00 3041 1 00 Dr. Life Insurance. Cr. (35) 18— Feb. 2 N, E. M. PoUcj D5 8000 00 18— Mar.31 Suspense D12 8000 00 Dr. Consignment from Vaughn Lloyd. Cr. (36) 18- Feb. 15 " 26 Mar. 2 Duties, &0. Labor, &e. Aooount Sales 18— D7 650 00 Feb. 28 C4 26 30 (( (( D9 7007 20 50i 1 $ 7083 Louis J. Ripley Do. Do. D8 C3 500000 2683 50 7683 50 (69) m Dr. BOOK-KEEPING. Shipment to St. Thomas. Cr. (37) 18— Feb. 17 Mjhtit D7 8187 50 18— Mar.ai BalADM to new acot. $ D12 8187 50 Dr. Elias P Young. Cr. (38) 18— Feb. 17 — Siupt. to St. Thomai D7 1 8187 50 |18- Feb. 17 " 20 On M. Sb. to St. Tbom. Hii Kot« due 24th April D7 D7 6875 1312 00 50 $ 8187,50 8187 50 Dr. Felix Zahnt Philadelphia. Cr. (39) 18— Feb. 19 Consgt. Defree & Co. Mar. 1 NetSkleimyCouct. D7 D9 $ 2800 3011 00 00 00 jl8- Mar.l5 " 16 De&ee & Co. Uij Note duo 13th M>7 DIO DIO 3243 2597 25 75 5841 $ 5&il 00 Dr. Commission. Cr. (40) 18— 118- 1 Alar .31 Fnfit to b&lance / D13 729 67 Feb. 19 « 23 Mar. 2 1 Coa«gt- Dcfree & Co. Conegt. Quine7,I>.&Co. CoQHt. T. Uojd D7 D8 D9 290 00 55 50 384 17 «, 729, 67j $ 729,67 Dr. Guaranty. Cr. (41) 18— Mar.31 Proat to bftUne* / D13 325 50 50 18— Feb. 19 " 23 Mar. 2 Consgt. De&ee & Co. Consgt. Qainc7,D:ftCo. Consgt. V. Uoji D7 D8 D9 145 65 125 00 50 00 9 325 $ 325 50 Dr. Vaughn Lloyd, Glasgfow. Cr. (42) 18— Feb. 21 Mar.31 Ac. R. Sluk, £300 Balance to new acct. D7 D12 • 3875 2622 55 48, 03 18— Mar. 2 6498 N«t8«l«Conigt. D9 6498 &i98 03 03 (60) Dr. LEDGER. Bank of the Republic. Cr. (43) 18— I Feb. 19 Deposit " 26 ; Discount W. Holmes 28 Deposit March " 12 Balance G. C. Naylor C4 I D8 04 \ 2000 3024 3000 8024 18— 00' Feb. 22 40jj " 28 00 I 40 DIO $, 5524 40; 8750. OO' 14274,40 Cash Account Balance Mar. 5 Quincy, Dane & Ce. " 1(5, Cash Account " 24 « 31 J. Wales Balance C3 2500 6524 8024 00 40 40 DU { 2549 C5 3000 Dil 200 00 ; 55' 4'/^ 4020 m tiOOO 00 $ 114108 67 j 123907 92 1 2 3 4 5 6 7 8 9 10 12 13 14 16 18 19 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 Names. I' Merchandise i Ship Sultana Real Estate at Brookline jCash I Bank of Commerce j Bills Receivable (Albert Knowles ; Robert Vauevar I Samuel T. Gordon Kollins Bros. & Co. Bills Payable I William Jones ; Quincy, Dane & Co. Georg-e N. Comer William Smith son George C. Naylor Olivera & Co. Profit & Loss Exchange Bank Stock Estate of the late Edw'd Evans House and Land at Waltham I Western R. R. Stock 1 F'arm in Watertown I Fitchburg R. R. Stock Expense Suspense Con8ij,Tim't from Defree &, Co. Delree & Co. j Interest I Cons't from Quincy .Dane & Co. I Shipment to Philadelphia Life Insurance Consigns from Vaughn Lloyd Shipment to St. Thomas ;EIias P. Young Felix Zahnt [Commission 'Guaranty Vaugljn Lloyd Bank of the Republic Shipmentto London R. & H. Ifcf^insoh George A^Vhompson Real E8tate\t Chelsea Amounts. Differ'cea ia314 2500 20U0 !oo! 22504117 16.326] 12! 3838 751 30000! 3675 00 lliHO 55 2090 75 1623 37' 500 00 17250,55 31250 554U! 17 50200 00 22000 5043 2220 00 7683 50 i 8187 50j 345 50 200,50, 2500 00' 3000 Drs. LEDGER. TRIAL BALANCE. March, 18 — Crs. Differences. Amounts. Ledger 2468 87 70(X) 00 10S8;> 00 2(i0 21 3'.)0<) 25 18403 57 li Page. .Proof.. Amt. of D. B. Add'ns $70017.97 " " Cash received 22385.78 " " " paid 22504.17 $123907.92 8000 00 3243 25 7007 20 345 50 200 50 32182 7200 00 , ! I 9545 00 2880 00 1 • 3840 00 1769 00 4191, 8000 00| 8187 50 6725 23 4020 00 629] 2130 19672 7250 727^ 402.5 312 5549 2{KJ 6550 1375 1065 00 $ 96579 36 910 3243 7007 3041 8750 45 00' ;{2 00 90 55 50 17 00 00 00 2904 65 8250 2500 25 25 20 00 00 00 00 97905 59 1 3 4. 5. 6 7 9 12 13 14 16 19 20 21 22 23 24 25 26 27 28 29 31 32 34 35 36 37 39 40 41 42 43 44 45 46 47 48 49 Names. Jlerehandise | Ship Sultana Heal Estate at Broofkliuc Cash ISank of Commerce Bills Keccivable Albert Kuowles Sixmuel T. Gordon liillR Payable Will iam'.I ones (iuiucy, Dane & Co. George N. (Jomer George C. Naylor Olivera «& Co. Profit & Loss Exchange Bank Stock Estate of the late Edw'd Evansl House and Laud at Wsiltham i AV'estern R. R. Stock ! I"'arm in Watertown lltchburg R. R. Stock Expf^nse Suspense I )efree & Co. Interest Shipment to Philadelphia liife Insunince Consign't from Vaughn Lloyd Shiprtient to St. Thomas Flix Zuhnt Commission Guaranty Vaugliu "Lloyd Bank of the Republic Shipment to London R. & H. Parkinson Georj^e A'. Thompson Real Estate at Chelsea Merchandise Co. R. »& H. P. Loan Aocount Amounts Differ'ces. 5535 62 3000 00 39<.«i 45 250;(X> 475 (HI 300 00 8750 00 504120 304|l7i 30O1OO 120 00 6550 '00 160 00 40 15 3041 00 5841 00 3&4 17! 125 ;00 (H98|03' in 12625 00 50000 00 20625 00 7549 17j I 7570 'a3 1020, ooi 5000 00 8250 j 00 2500 00 512 8000 492 In 00 00 88 729 67 325 50 2622 48 646 .Proof.. Amt. of D. B. Add'ns $58482.47 " " Cash received 19672.32 " " " paid 19750.80 83 $97905.59 i (64) 6* (65) BOOK-KEEPING. STATEMENT. Upon examining the foregoing set of books, I And that The amount of assets at closing is o 1 •}d»g 1 •Sny 1 "^ ■* ipif 1 '^ t-H TH aanf 1 S5 £VK 1 "** QO tH CO •idy Ci -*1 Ci C\» cv W •"K 1 g •qsj 1 S i-^ •«,f 1 1 e (£ CC OQ 00 OQ OQ rr; OQ p ^ ^ ^ ^ ^ t« ^ ^ t>^ >» >» 3 a - a - - - a -+1 00 N CO CO « ^ 'OH -d 8 5 S a , . CO ^ . eo CO .1 1-^ m 00 t-i CO 00 1 p-i N . !N CJ (M :: ^« • ■*-> u 8 seig «• 8 818 S 8 8 8 g IN. n 8 8 8 In. 5 CN 3 8 8 P c5 ^ «5 8 g CO g 3 s 08 ^ R 7t iC? r^ lA s = S f^ r^ N Cv» I^ 3 .-^ W5 CO c^ CO 00 i^ C^ < .S M (N T-( T-1 CO F-» CO T-i £i! o< TH CJ In. •0 2 < 31 •^ — < jj -t-> ~ .;^ ^ T3 ^ > rS OS QD d ," o2 es ^ .a -o ja "^ »« H ja •73 -a 6 ^ .2 ^ . M ^ pq u g 11 .. m It. M no 2 m a HH ;2 M ^ d a a ^. ^ -a ^ ^ •^ -3 1 '=^ 1 1 a a ^ u pq '^ h5 ^ c a3 • 5^ as a -3 a: i =0 ^ « .d a c- 2 i • ■J s ►^ — C) ? °D So ft fl a +- ^ t" 7; 00 CD 3 q »H (^ HN Hj I? bo a w bo X -d 90 1 • 6 -3 • •0 a •I—I •—4 •1-4 3 i « 1 S .H r-1 CO CO U5 .-1 . . (TJ CSJ M i§ . i| . . . 1 1-5 - H, - - - £c< W rH 1-1 T-t CO .£3 § S g§ ^^ ** s« 3 >• 2 *• \s •OH 1 •I unf I X«H •idy I •«K CO CO s •q»J 85 to 00 •T ^ GD O ^ «0 00 Q 2 2 3 i a O « « Q {.} QQ CO S "^ « § s i lO iO ft « OS C i CO O O -.f" «o ^ Oi a lU s ^ ** ^ ^ 5$ •« ^ M 8 8 I g J^ ?; §1 8 O CO _S_8_8 8 8 18 f2 Q O O O «5 o i-i eo ifi O «J t^ ^ I< «_8JJ8 O o -a u >= i. 2 '^ ^ -« ^ a 2 CO £< 3 ■T3 W. S s o o H o r-4 CO O (J «> •♦J _ o E i CS S O :S CO 1-5 s S i o o o a o 33 t>- S S f « U, ^ ^1 2 1? - &4 CO ^ CO K Hj X o o -t< o I '-' N M cJ 1-1 cs •-3 I^ 5J §{ .o •OJf 0* eo ^ lO S W iH t^ CO eg 5: £2 "* m -^ ■^ C9 (68) POSTING. METHOD OF POSTING THE BILL BOOKS, WHEN THEY ARE MADE THE BOOKS OF ORIGINAL ENTRY. First Posting. Bills Receivable are posted to the credit of the persons from whom, or the accounts on which, they have been received. Bills Payable are posted to the debit of the persons to whom, or the accounts on which, they have been issued. Second Posting. Bills Receivable Is debited at the end of the month for the total amount of bills received during the month. Bills Payable is crediti-d at the end of the month for the total amount of bills issued during the month. There are several methods of keeping Bill Books. It is quite common to havethem in one book, one half of the book commencing with Bills Receivable, the other half, the other side up, commencing with Bills Payable ; but I thmk it much preferable to keep them in separate books, and I would have the bind- ings, or the labels on the backs at any rate, a quite distinct color from each other. When the bill transactions are numerous, I am satisfied that the best plan is to keep the Bill Books the same as a Day Book, entering them as received and delivered, and then transferring them (as a memorandum only for convenience of reference, to show, at a glance, the bills falling due in any month) to books prepared like the Index to a Ledger, with several pages to the names of each of the months in the year, in the place of the letters of the alphabet, thus : — Bills Receivable. January. Due. Name. Amount. Remarks. January. February. Due. Name. j Amount. Remarks. February. 16th. 27th. Hiram Low Nolan Reed 2000 00 760 00 Bk. Commerce, coll. Bk. Commerce, coll. March. Due. Name. 1 Amount. Remarks. March. 9th. 28th. N. Goes Joseph Wood 250 00 750 00 ; 1 Bk. Commerce, coll. Bk. Commerce, coll. And so on, Bills Payable being treated in the same way. (69) ii ; If II i' I BOOK-KEEPING. Annexed are examples of what T conr>eive to be the most approved forms of Bills Keceivable and Bills Payable Books, Sales and Purchase Books, Day and Check Books, each arranged as though the first month's business of the foregoing set of books had b<'en kept in those separate books, instead of a Day Book only, — the Cash Book in both cases being precisely the same,— from which it will be seen that the original entries for a very extensive business can be made on their appropriate books by different parties, and at once, without any rewriting, be posted to their appropriate accounts on the Ledger, the lootings of each book at the end of the month being carried to the debit or credit of the account on the Ledger bearing its name, making the one debit or credit as the case m;iy bo, equal in amount to all the separate debits or credits from that book for the mouth. I have placed these forms of books all together in this place, instead of putting them under their separate heads iu the Appendix, as I at first intended. (70) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 11 21 23 24 22 25 16 26 27 DAY BOOK. Boston, 1st January, 18 — Drs. Crs. Schedule of Assets. Merchandise, per Stock Book Ship Sultana, my iijths. Cost Real Estate at Brookline, valued at Cash, per Cash Book Bank of Commerce, on deposit Bills Receivable, per Bill Book Albert Knowles Robert Vanevar Samuel T. Gordon Rollins Bros. & Co. Henry Underwood Schedule of Debts. Bills Payable, per Bill Book William Jones Quincy, Dane & Co. Daniel Davis George N. Comer, Net Capital 18th owes 49,250.00 due 49,250.00 George C. Naylor, Dr. For my Order on Olivera & Co., for 100 Tons Pictou Coal @ 5.00 23d Henry Underwood, Cr. For Abatement to balance his account, he having made a composition of 50 per cent. (See Bills Receivable Book.) 2fith. Estate of the late Edward Evans, For the following property in trust : — House and Land at Waltham 75 Shares Exchange Bank Stock 30 " Western R. R. Stock 29th Cr. George N. Comer, (Legacy C. Newhall,) Cr. For Farm in Watertown valued at 40 Shares Fitchburg R. R. Stock " " (71) 12500 12500 10000 350 8000 2760 975 687 550 478 450 00 oo; 00 oo' 00, oo' oo| 00 00 00 500 225 9500 7500 3000 6000 4000 r9975 00 00 00 00 00 5300 2600 1800 950:00 38G00 00 00 00 00 500 225 20000 oo; 00: j 10000 i 00 00 00 00 00,1 79975 00 III Ill :| I I If "I » ■* •a 11 BILLS RECEIVABLE. Boston, Ist Jamiary, 18— Drs. Crs On Hand. Hiram Low's Note, date 13th Aug., 6 moB., due 16th Feb. ^ Nolan Reed's Note, date 24th Oct., 4 mos., due 27th Feb. $ Sd Jantiary, 18 — Case, Wilson & Co., . cr. For their Note, this date, 6 mos., due 6th July, in full for Mdse. — 22d Bank of Commerce, dr. For H. Low's Note, due 16th Feb., deposited for collection — 23d Henry Underwood, cr. For B. Dodd's Note, this date, 8 mos., due 26th Sept., being his composition of 50 per cent. 25th. - Joseph Wood, ck. For his Note this date, 2 mos., due 28th March, exchanged for his accommo- dation - 26th 23 Estate of the late Edward Evans, Cr. For John Todd's Note of 20th Oct., 8 mos., due 23d June . 30th. Bank of Commerce, dr. For Nolan Reed's Note, due 27th Feb., de- posited for collection 2000 760 2760 00 00 00 1223 80 225 00 750 00 1000 00 3198 80 2000 00 760 00 2760,00 Each item (w loon u ecoTenieot after the entry i« made) U ported (s the debit or credit of the proper hcoount, and Bill» Receivable 13 debited, at the end of (be month, for the total amount reoeived. and credited br the total aiDouut delirered during the month. (72) I 3 12 17 I ^ i s " a - * i J 8 1^ BILLS PAYABLE. Boston, \8t January, 18— Drs. Crs. Former Issue. Robert EUiott, my Note, 15th Sept., 6 mos., due 18th March ^ S. C. Watts, my Note, 5th Dec, 8 mos., due 8th Aug. t Sth Jamiary, 18— SOAMES, SMYTHE & Co., DR. For my Note of this date, 6 mos., due 11th July, for Merchandise __ 16th Alfred Arnot, Berbice, Dr. For my Acceptance his Draft, at 20 days' sight, favor of James Brown 20th. Robert Elliott, For my Note of 15th Sept., given up — Dr. Or. For my Note, this date, 3 mos., due 23d April, in part to take up the above, • —Mdse. to balance. (See Sales.) 24th. ►-85 .S o " o •2 " - g « C 9 e • "C— a Real Estate at Brookline, dr. For my Note this date, on demand, for Premium of Insurance 25th. Joseph Wood, -q^ For my Note, this date, 2 mos., due 28th March, exchanged for his accommo- dation 12 2000 OOl $ 2000 00 2000 00 3300 00 5.300 00 550 00 2500 710 00 130 00 00 750 00 4040 00 Bif^Pa^zizrtj^r «:iitL;'eVd"7t;' """ti i '^r *" "^^ "^^'^ "^ """*•* ^^ «>• ^-^ — ». -« ueuivea ana oreojted at Um end of the month for the total amount redeemed or iMued. 5" C73J rl 1 1 mvx fil ' I ¥1 SALES BOOK. hi : 'I I IS I. I' 18 jBo9 Thia oounUrpsrt is reMincd, and it th« oii(t nat entrj to be posted to t]>« Uiftt. No.l. l2thJanA8— Duties on Sugar from Berbice No. 2. \2thJan.\^f— Capt. Gale, Freight, tfc, on Sugar /r'm Berbice No. 3. 22rl Jan. 18— Eliot Fire Ins. Co. Insurance o/Mdse in store L.F. 28 No. 4. 27tkJan.\f^— Peros (f Co's Exc. on Y'oule (f Wyans, remitted to A. Arnot, Berbice Premium in Cash. No. 5. 31«f Jrm. 18— Bos. M.Fire Ins. Co. Insur^ce of house at Waltham 17 82800 317 50 11100 24 Ata put i« cut oot to b« pratMitcd M the bank. $828.00 Boston, \2th Jaminry, 18 — Cashier of the Bank of Commerce, Pay to Duties, or bearer, Eight hundred and twenty-eight 100 Dollars. No. 1. George X. Comer. $317.50 • Boston, 12th January, 18— Cashier of the Bank of Commerce, Pay to dipt. Gale, or bearer, Three hundred and seventeen ythF I>oliars. No. 2. George N. Comer. $111.00 Boston, 22d January, 18— Cashier of the Bank of Commerce, Pay to Eliot Fire Ins. Co., or bearer, One hundred and eleven lOO Dollars. No. 3. George X. Comer. 94968 19500 Withdr'wn this mo. 12401 $919.68 Boston, 27th .lanuary, 18— Cashier of the Bank of Commerce, Pay to Peros d- Co., or bearer, fi ft Nine hundred and forty-nine yg^y Dollars. No. 4. George X. Comer. $195.00 Boston, 31s< January, 18— Casliier of the Bank of Commerce, Pay to Boston M. Fire Ins. Co., or bearer, One hundred and ninety-fire 100 Dollars. No. 5. George X. Comer. 18 The woida ia ItoliM are Ihoee umuUj in writing, the others are printed. Each item (a* soon as eonrenient after the check Is delivered) is posted to the debit of the proper aeoonnt, and the Bank U credited with the total amoont at the end of the month. It is a good plan to keep a memorandum of depositt Md withdrawals on the back of the part remainiug after Che check ii cut out, to show, at a glance, the balance in bank, which, after the llrst few checks hare been d rawn, will be some pages baek. and not exposed to an j one overlooking yo« whmdMwiagaebMk; UkMis,70ucankiMwlba baUttMjouiaeU wiUKMtUttiiic g(b«T pwpU know it. £sMnpU: 18- Jaa. 1. Deposit •• S. do. « 12. SntiM •• 12. Freight M 23. Dep. eoll. « n. BMIiuuCo. •• 27. Pom * Co. " S9. Dep. •' 30. Dep. con. " 31. B.M.F. Ibs.Co. woo'oo 828 i») 7873 ^ 317 SO 2 00 no S864 50 uiloo sMslao* 949 88 8393 n" 9»w!oo 10293,88 7«i)|t)» iioj.1 57 195,(10 10868. 0' (76) JOURNAL. JOURNAL- As the Journal is Btill used in some houses, it is very desirable that the student should at least know how to Journalize, so as to clearly understand the term. I have introduced what I consider to be the best form of Journal, embracing the first montli's business of these books, sufficient to enable the student to thoroughly comprehend the design. Journalizing is merely giving the Ledger titles to the entries from the books of ori^nnal entry upon the Journal previously to posting. The°po8ting figures to the Ledger are inserted as though the transactions for this month had been posted from this Journal, instead of from the books of ori-inal entry. Upon comparison it will be found that the results are iden- tically the same as those without this book ; thereby proving its utter mutihty, to say nothing of the sheer waste of time, increased liability of error, and the increased opportunity for covering up misdeeds by a fraudulent book-keeper. 7* (77) < m Drs. BOOK-KEEPING. Boston^ \8t January, 18— Crs. Miscella- «j„ neou«. Mdse Caah jiLed • ! Pag* Merchandise Ctuh. Mdse. Miscella- neous. 12500( 30 12500 2 Ship Sultana 10000 3500 3 Real Est. at Brookline Cash 80000 5 Bank of Commerce 2760 6 Bills Receivable »75a ' 7 Albert Knowles 687 0( }! 8 Robert Vanevar 550 0< ) 9 Samuel T. Gordon 478 0< ) 10 Rollins Bros. & Co. 450 0( ) 11 Henry Underwood 12 Bills Payable 5300 00 13 William Jones 2600 00 14 Quincy, Dane & Co. 1800 00 15 Daniel Davis 950 00 16 George N. Comer 38600i00 14 9d. 1 787 50 William Jones, Merchandise 787 5( ) 100 OC ► •>d. Cash, Merchandise 100 0( > n<]. 1223 80 Bills Receivable, Merchandise 1223 80 500 "id. Cash, 7 Albert Knowles 600 00 28 •id. 650 00 Expense, Cash 550 00 2158 42 ^♦ii Merchandise, 14 Quincy, Dane & Co. I 2158 12 200 00 nth. Cash, 14658 42 1 1150 00 • Merchandise Am'ts carried forward 550 00 1 1 200 00 J 51908^ 1 38961 30 2311 30 12 (78) ~ Drs. JOURNAL. Boston, Gth January, 18— Crs. Led. Miscella- -^^^^^^ Cash. ii^^' 38961 600 30 14658 42 1150 1 00, 250 00 00 507 853 21 60 2500 3449 1145 68 50 200 Cash. II Mdse. ii Am'ts brought forw'd Cash, Samuel T. Gordon 6th — 00 125 42593 31 OOi BANK OF Commerce, Cash . 8th - Merchandise, Bills Payable Cash 8th 550100, 500 06 300 00 17 6 18 Cash, Merchandise 10th 00 303 Merchandise, Alfred Arnot 12th 00 90 20137 81 387 Merchandise, Bank of Commerce 13th 21 2311 30 Miscella* neous. 51908 42 250 William Smithson, Merchandise 13th Cash, Merchandise 15th 17 00 2287 00 Merchandise, Cash 16th Alfred Arnot, Bills Payable IGth 200 00 00 31 550 00 3449 1145 8 Cash, Robert Vanevar 17th Real Est.Brookline Cash Am'ts carried forward (79) 00 507 300 60 00 68 50 125100 I ' 1509,21 3318 90 2500 387 00 00 60190 60 (i fi lU m Drs. BOOK-KEEPING. BostoHy Vith January y 18— CR8. Miscella- neous. Mdae. ' Cash. 4259.3 W 20137,81 2287 00 600 00 2000 00 2000 00 111 225 225 130 001 00 00 00 950:00 750' 0(> 4948490 513 07 175 00 Led, Page 19 20 Caah. Mdae. iMiiiccIla* neous. Am'ts brought forw'd George C. Naylor, Olivera & Co. 19th. 215 Cash, Merchandise 20th 1509 21 Bills Payable, Merchandise Bills Payable 20th Merchandise, Cash 22d 00 28 5 563 20651 48 3240 Bank of Com.merce, Bills Receivable _ 22d. Expense, Bank of Commerce 22d. 513 67 21 11 45 Cash, Merchandise 23tl Bills Receivable, Profit and Loss Henry Underwood 24th asis 175 1290 90 60190 CO 500 00 ooi Real Est.Brookline Bills Payable 24th 15 45 Cash, Merchandise 24th. _ Daniel Davis, Cash 25th Bills Receivable, Bills Payable 00 215 710 00 950 00 Amts carried forward : 12972 88 663 00 2000 111 00 00 45 450 130 00 00 5562 35 04841 750 00 00 (80) Drs. JOURNAL. Bostov,, 26th January, l^— Crs. Miscella- 1 Ty.jg. neous. I *^^®*- 494t^ 90, 20651 9500 1 00 7500 1 00* 3000 00 1000 00 48 1500 949 00 68 18 99 6000 4000 00 00 2000 760 195 00 00 00 3675 00 3240 Cash. 45 1000 478 Led. Page 00 00 24 22 25 430 50 2000 00 89583 57 20651 48 10 13 17 5 Cash. Am'ts brought forw'd House & Land,Walt'm Exchange Bank Stock Western K. II. Stock Bills Receivable Cash Est. Edw. Evans J6th Cash, Rollins Bros. & Co. 26th 2972 88 28 26 27 16 William Jones, Cash 27th Alfred Akxot, Bank of Commerce 27th Cash, Merchandise 27th Profit and Loss, Cash 29th 1500 Mdse. ' Miscella- neous. 5562 35 Farm in Watcrtown Fitchburg R. R. Stock Cash Geo. N. Comer 29th 17148 95 24 5 10 Bank of Commerce, Cash 30th Bank of Commerce, Bills Receivable 31st 18 00 99 2000 House at Waltham, Bank of Commerce 31st Rollins Bros. & Co., Merchandise Am'ts carried forward ~~ (81) 430 00 6491 64811 CO 22000 478 00 00 50 949 68 12000 00 3675 87 9667 00 85 760 195 101224 00 00 28 Drs. BOOK-KEEPING. Boston, 31a< January, 18— Crs. MiscetU- neoua. 89583 57 200 00 Mdse. 20651 48 Cash. 7148 95 Led P>Mfe 16 Amt's bro't forw'd Geo. N. Comer, Cash Caah. MdM. Miscella- neotu. &491I87 200 00 9667 85 101224 28 89783:57 20651 I li- 7148 20651 89783 117684 06 48| 57 00 4 1 Cash Merchandise Miscellaneous Proof. Dr. Cash $7148.95 Cr. " 6691.87 Balance 457.08 6691 9667 ''I 85: 101224 28 117584 00 9667 (83) '9 i i THE BOOKS OF ACCURATE ACCOUNTANT. TEST SET FOR PRACTICE. The following are the records of the transactions of a merchant named *' Accurate Accountant " during three months' business ; written down in the rotation in which they occurred, without any reference to the style of entry, or the book upon wliich they should be made. The student is required to write out each entry in proper form on its appropriate book, (the intention be- iD„«v Sired to Little & Sharp, on account, Check on New England Bank for $3250. Received Cash for Merchandise, $330. Paid Cash for advertising in Journal, $15. Sold B. Spinney, to be settled for in a few days, Merchandise, $ii""- Sold Abner Green Farm in Fitchburg for $4950, which amount he has deposited to my credit in New England Bank. Received Cash of Hasty & Driver for Merchandise sold to them on the 4th instant, $360. Paid Brown & Allen for Gold Pen, $2.75. Received Cash of New England Bank on my Check, $1100. Received Cash for Merchandise, 110. , ^h^a K^rmwPd of Paid Cash to Otis White, $1101.47, being pnncipal, $1100, borrowed of him the 5th inst., and interest on same, $1.47. Received of Martin & Cross, to close account, their Note at 90 days for $1777.12, being principal, $1750, with interest, $27 12, added. Paid Cash at Merchants Bank my acceptance Guelph & Co. s Draw, Re^^d to Roscoe & Co., Baltimore, per request of G^^^P^^ ^' contained in their last advice, and to close my account with them, my Draft of this date on Watson & Green for $2,329.69. Paid Cash to Frederick Lawson for surveying and laying out Land at Cambridge into four lots, $54.50. Received Cash of Peter Glibb, net proceeds ofCon^igrnment of Mer- chandise from Foresight & Fearless, sold by him at auction, $"<^- Rendered Account Sales to For.sight & Fearless. Expenses already posted, $353.10, leaving net proceeds in joint account, $.346.90. Deposited Cash in Boston Bank, $5500. Received Cash of Boston Bank on my Check, $2200. Loaned Cyrus Crane Cash, $2200. „„«„„„+ nf Fore- Shipped to Barter & Sale, New Orleans, to be sold ^^\^^f^l.^^^^. Bight & Fearless, as per their order contamed in last advice, Mer- i chandise amounting to $3300. (87) h 22d. 24th. 26th. 28th. 29th. 80th. 3l8t iini BOOK-KEEPING. Sold to Charles Evana two lots of land at Cambridge, for $3200, and received in payment C. Breed's ^'ote in his favor, at 3 moutlis, lor that amount. Received Cash for Merchandise, $143. Paid Cash for Postag^e Account, Su.14. Drew Check on Boston Bank for Ralph Doane hi fuU, for rebuildin^r House at Auburndale, $3000. ° Paid Cash for cleaning Store, Ac, $14.30. Received of B. Spinney John Smith's Note, indorsed by William Stud- ley, in lull for Merchandise sold him the 10th iust., $1100 Received Cash of Daniel Defoe, on account, $,00 ^ZZ ^^""^ ""I^ ^^^^""^ ^'^^ *° ^"^ "P William Whiter'B Note of 20th March, $575. Received his Note at 60 days for $581.04, bemg principal, $575, with mterest, $6.04, added. f , v^^o, y^^u Paid Cash at Ocean Bank to take up my Note to William Winter, $575. Received Cash for Merchandise, $.330. Drew Check on New England Bank for H. Robb, for rent of Store to date, $.3:10. Paid Watson & Green's sight Draft in favor of J. Davis, $793.66. Accepted Lugene Lemoin's Draft for .«- 125 in favor of Oscar Gilbert, at 10 days' sight, on account and request of Foresight & Fearless, California, contained in their last advice. Received Cash of Cyrus Crane, $22(H.05, being principal, $2200, loaned him the 19th inst., with interest, .$j.0o, added. Paid Cash to Hayden Morse, Clerk, in full, $275.00. Withdrew Cash for Personal Expenses, $215, Deposited Cash in New England Bank, $;i.300. Merchandise on hand, per Stock Account taken thia day, $8000. LEDGER. TRIAL BALANCE. Drs. Marchy 18 — C R9. DiflFerence. 1 Amount. Ledger Page. Names. Amount. Differ'ce. $ 10295 00| 10295 00 Real Estate at Auburndale ! 1 175 00 Accurate Accountant 65800 00 65625 00 25000 00 25000 00 Ship Mary K. Comer 4200 00 Orcutt & Page 4200 00 431 03 4436 53 Cash 4005 50 175 00 175 00 Charles Evelyn 12003 50 153.35 50 Boston Bank 3332 00 16301 72 20361 25 Merchandise 4059 53 Daniel Defoe 175 00 175 00 3202 50 6538 00 Bills Receivable 2335 50 125 00 125 00 Labor & Livewell 225 00 1125 00 Samuel Unwin 900 00 Estate of Benjamin Brown 15660 00 15660 00 1150 00 1150 00 Philip Vinton 4200 00 4200 00 Western R. R. Stock 1 575 00 Market, Price & Co. 575 00 6100 00 5100 00 Merchants' Bank Stock 240 00 600 00 Hyde &, Inman 360 00 6653 00 5G53 00 Store on Washington Street 650 00 Peter Doolittle 650 00 6625 00 5625 00 Farm in Fitchburg 1158 00 Bills Payable 7373 00 6215 00 362 50 362 50 Expense 3150 00 Hope, Trust & Co. 3375 00 225 00 611 50 611 50 Profit & Loss • Little & Sharp 2800 75 2800 75 75 425 00 28 Robards & Stevens 425 00 28 $ 90700 116026 % 116026 90700 75 Vn^nnf Amt. of D. B. Add'ns $107909.25 « " Cash received 4111.53 " «' " paid 4005.50 $110026.28 'k 8* (89) Dks. BOOK-KEEPING. TRIAL BALANCE. April, 18— Crs. Difference. ' Amount, i,^^®' $ 7000 00 ; *5 i 45 23000 51.38 40i 50 6950 7328 5515 612 8727 41 00 09 08 00 00 70 78 50 50 225 00 6050 4200 5100 1750 5538 6437 360 00' 200100 2887150 45:41: 875100 76.38109 19532 44 00 00 00 00! 00 50 m3i 5950 7735 240 787 6250 7558 550 50 00 00 00 50 00 50 00 2844 OO 617 '76! 3229 42 oo:! 55ii 4i;i 2925 1007 3229 6000 204 42 00 $109286 00 00 00; 50 oo' 260 50 3229 42 .3150^00 396105 3220 41 275100 6ooo;oo 3229 42 6050 6050 1750 312 2^5 2500 12 103262 00 24 Names. Amount. Real Estate at Auburndale Accurate Accountant Consgt. from Watson & Green Interest Ship Mary K. Comer Watson & Green New England Bank Cash Charles Evelyn Consgt. from Little & Sharp Real Estate at Cambridge Boston Bank Merchandise Daniel Defoe Cons^. from Guelph & Co. Bills Receivable Labor & Livewell Shipt. to Hope, Trust & Co. Samuel Unwin Estate of Benjamin Brown Shipt. to Calcutta Philip Vinton Western R. R. Stock George C. Gore Merchants' Bank Stock 3Iartin & Cross Hyde & Inman Store on Washington Street Commission Farm in Fitchburg Guaranty Bills Payable Expense Shipt. to California, Co. F. & P. Hope, Trust & Co. Profit & Loss Foresight and Fearless, Calif a Little & Sharp Life Insurance Paywell & Prosper Suspense Guelph & Co. 3655 2887 2000 2488 2500 19559 125 1031 12409 11025 6250 2033 675 3150 Differ'ce. 1150 7700 00 50 00 97 00 39 00 50 SO »i 00 50 00 00 6^425 1613 00 00 3025 6000 4829 .Proof,- Amt. of D. B. Add'ns $61170.41 " " Cash received 1V»53'J.44 " « " paid 19559.39 $103262.24 103262 240 115 482 66 500' 00 177140 8255 75 5 24 90 00 00 69 24 00 97 306 00 15660 00 1650 00 482 177 12125 3515 66 40 75 6S 6000100 2:J29!69 109286 12 Drs. LEDGER. TRIAL BALANCE. May, 18— Crs. Difference. Amount. Ledger Page. $ 10000 00 3000 00 215 00 9 67 1 47 17444 00! 1 793 66 8708 09: 8250 00, 723 43 60 00; 17252 27 2804 50 54 50 7628 70 6075 00 3084 00: 4131 00 14810 66 6658 16 6050 00 1 3300 00 3884 50 5550 00 4905 00 7700 00 5538 00 487 50 3075 00 1287 95 670 19 3229 42 3i5o;oo 225 00 f)34 10 1680 96 5425 3250 00 00 6000 00 204 42 2329 69 112 50 46 Qi $ 102427 77961 Names. Real Estate at Auburndale Accurate Accountant Interest Ship Mary K. Comer Watson & Green New England Bank Cash Charles Evelyn Real Estate at Cambridge Boston Bank Merchandise Bills Receivable Shipt. to Hope, Trust & Co. Samuel Unwin Estate of Benjamin Brown Shipment to Calcutta Loan Account Western R. R. Stock Georg'e C. Gore Merchants' Bank Stock Martin & Cross Merchandise Co. F. & F. Store on Washington Street Commission Farm in Fitchburg Guaranty Bills Payable Expense Shipt. to California, Co. F. & P. Hope, Trust & Co. Profit &, Loss Foresi8 45 20000 00 15000,00 $10t),7G2.76 I! The opening entries having been made and posted, I now assume that the business progresses in the usual way, sufficient examples of which are already sriven in the other books. At the end of the year, the State of the accounts in the Ledger is as follows : — George N. Comer is debited with $5000, withdrawn. George C. Naylor " " "* 2500, " Charles C.Evelyn" " " 1700, " There is a balance to the debit of the following Accts. Merchandise Cash Bank of Commerce Bank of the Republic Interest Bills Receivable Expense .lames Brown owes Niles Hazen " («3) $31,350.00 960.00 29,238.00 27,939.45 536.00 1 47,325.00 5,569.00 1,254.00 2,345.00 } $146,516.45 ! in 4 BOOK-KEEPING. BOOK-KEEPING. .1 n • I 1 6 6 7 8 19 20 12 21 15 16 17 23 1 3 4 23 22 18 15 I". 17 Boston, 31«t March, 18-. Drs. CR9. There is a balance to the credit of the following Accts. ] ' Bills Payable 65,378.00 Thomas Adams 5,700.00 Real Estate at Brookline ^ 620.00 Real Estate at Chelsea 250.00 $G1,&4«.00 Upon takin',317.50. Upon making up the Interest Account, 15 George N. Comer is Cr. 18 For Balance of Interest 3102 00- 16 George C. Naylor is Or. 18 For Balance of Interest 1065 00 17 Charles C. Evelyn is Cr. 18 For Balance of Interest 778 00' 4945 00 Boston, Slst March, 18 — . The following entries to close the Books ; Assets on hand this day. Merchandise Cash Bank of Commerce Bank of the Kcpublic Bills Receivable James Brown Niles Hazen Debts due this day. Bills Payable Thomas Adams George N. Comer, Xct Capital George C. Naylor, " " Charles C. Evelyn, « (( Boston, 31«< March, 18—. Profit & Loss For Gain on Merchandise « " " Real Estate at Brookline " " " Real Estate at Chelsea Dr.: For Balance of Expense Account " Interest " George N. Comer's Net Gain " George C. Naylor's " " " Charles C. Evelyn's ' (( 55378 5700 70123 22849 17327 171378 62317 960 29238 27939 47325 1254 2345 95 171378 50 00 00 45 00 00 00 95 Cr. ««5()9 00 5481 00 13153 30 4284 90 3249 30 .30967 520 50 00 250 00 (W) 317.37!50:| 3173750 I I! ^1 INDEX. A. Adams, James B. Bank of Commerce Bank of the Republic Bills Receivable Bills Payable Brown, James C. Cash Comer, George N. D. Evelyn, Charles C. Expense F. O. Hazen, Niles Interest H. I, J. 21 6 7 8 12 19 5 15 17 22 20 18 Lloyd, Vaughn M. Merchandise N. Naylor, George C. O. 13 R. Real Estate at Brookline Real Estate at Chelsea S. Ship Sultana Stock, Fitchburg R. R. Shipment to St. Thomas Shipment to London U,V. IV. X, Y, Z. 16 P. Parkinson, R. & H. 14 Profit & Loss 23 3 4 2 10 11 ii ■ i. ': ! i (96) in BOOK-KEEPING. Dr. Merchandise • Cr. ( :i) 18— i 18— t April 1 On hknd Dl 25700 Shdd i:ioooooo 18— Bought j 135650 00 Mar.31 Balance on hand y. D2 62:317 50 Mar.31 PioSt k LoM D2 j 30967 50 50 X • ♦. 192317 $ 192317 50 Dr. PARTNERSHIP SET. Bank of the Republic. Cr. (7) 18— April 1 Depoait Deposit $ Dl 6725 23 21214 22 1 18— Mar.31 Balano* 1 D2 $ 27939 45 $ 27939,45 27939,45 Dr. 18— April 1 Valusd at Dr. 18— April 1 !&— Mar.31 Valaedat Profit k Dr. Ship Sultana. Dl 11000 001 18— May 1 D. Smith Beal Estate at Brookline. jl8— Dl 10500 00 Sept. 1 D2 620 00 $ 11020 oo; A. Green Kbal Estate at Chelsea. C Cr. (2) 11000 00 Or. (3) 11020 $ 11020 00 00 Cb. (4) 18— 1 18— 1 AprUl Taliud at Dl 3000 OO Oct. 4 James Dean c 3250 00 18— / Mar.31 Profit k LoH D2 250 00 / $ • 3250 00 1 3250 00 1 Dr. IS— April 1 BiU Book R«c*iTe(l Dr. 18— April 1 Valued at Dr. 18— April 1 Former Account Bills Receivable. Dl j Ijis— 17463157 !Mar.31 29861 43' $ 47325 'oo' li II Balance Fitchburg R. R. Stock. Caih Shipment to St. Thomas. Dl 8187 50 18- July 8 Cash Cr. *"* D2 $ 47325 47325 00 00 Cr. (9) 4000 00 Cr. (10) 8187 50 iH h Dr. 18— April 1 On hand Beoeired Cash. Dl 15260 250000 $ 265200 21 00 21 1&- Mar.31 Paid Balanea (96) Cr. (5) 264300 21 D2 960 00 f 265260 21 I tB, Bank of Commerck. ( Cr. ( fi) 18— Aprill Deposit Deporit Dl 3906 25331 1 25 75; ooj 18— Mar.31 Balaaee D2 i 1 29238 00 , 292.38 29238 1 00 Dr. 18— April 1 Former Account Dr. Shipment to London. Dl 4020 00 18— July 8 Caah Bills Payable. D2 55378 $,, 55378 18— April 1 00 (97) Bill Book Delivered Cb. (11) 4020 00 Cr. (12) Dl 12625 4275:? $ 55378 00 00 00 HI i! I ■s Dr. 18- I May 10 c»8h Dr. 1^ 1 3Iayl2|CMh Dk. IS- IS— Mar.31 CMb Net CapittI Dr. IS- IS— Mar.31 CMh Nat Capul Dr. IS— Dr. BOOK-KEEPING. Vaughn Lloyd. Cr. (13) Foimer Aoooant Dl $ 2622 48 R. & H. Parkinson. Cr. (14) 18— April 1 1 Former Aooouat Dl 646 83 George N. Comer. Cr. (15) C D2 ::i8- I 5000 00 April 1 Net c»pit»i I : 18— /012^} 75 Mar.31 Baluieeof iBtorett " " Profit k Um • 1 75123 751 Geokob C. Naylor. Dl D2 D2 5SSG8 45 3102 00 13 153 i 30 •|i 75123i75 Cr. (16) C D2 2500 2284U f I 25349 Nit Ckjdtal 18— 00 April 1 i|l8— 90 |Mar.31,Baiuie«of Intarect 90, D2 D2 $ 20000 1065 4281 25349 00 00 90 90 Charles C. Evelyn. Cr. (17) 1 18— ' c 1700 00[ April 1 1 18— D2 17327 30 Mar.31 30 i( t( $ 19027 Net C*p>t»l Bal«no« of lDt«re8t I'roBt k Lorn Dl 15000 00 D2 778 00 D2 3249 30 « 19027 30 Ivterest. Cr. (18) IS— Mar.31 'o.N.c.o.c.N.*o.o.x. D2 • 5.'U) 4915 0«) 00 18— Mar.31 5481 Profit k LoH D2 6481 00 5481 00 (98) Dr. 18- I June 4 MerebuidUa Dr. 18— July 6 M«roh«ndiM Dr. Dr. 18— Mar.31 PARTNERSHIP SET. James Brown. D $ 1254 00 18— Mar.31 BalaDM NiLES Hazen. D 18— Mar.31 BsOwioe Thomas Adams. Profit & Loss. D2 31737 50 18— Mar.31 (») Cr. (19J $ D2 1254 m Cr. (20) D2 2345 00 Cr. (21) IJ^ Mar.31 biIum* D2 • 18- 6700 00 Sept. 4 Merehandin D 5700 00 Dr. Expense. Cr. (22) 18— 5569 00 18- Mar.31 i^toflt k Lou D2 1 5569' 00 Cr. (23) D2 31737 50 f m 111 BOOK-KEEPING. il ! d COMMERCIAL COMPUTATIONS. ACCUEACT AND EAPIDITT IN COMPUTATION 13 ONE OF THE FIRST BXQCISITE3 IN A CLKKK. — McCulloch on Conunerce. As a very important part of the bnsiness of the counting houpc consists in commercial calculations, the ability, on the part of the mercantile clerk, to make them with rapidity and accuracy, is justly held in estimation. The value of commercial speculations often depends upon a few figures ; and disagreea- ble and unlooked-for results may not unfrequently be traced not only to want of care, but to want of skill in computing. It is somewliat surprising, there- fore, thtit fo little attention should be paid to the practical adaptation of arith- metic to bnsiness. If a young man is tolerably well acquainted with the com- mon ru-es of addition, subtraction, multiplication, aud division, nothiu"- further i- considered necessary. Such things as vulgar fractious, decimal fractions and logarithms, are held as exclusively belonging to scientific men and mechanicians. Some notion of what a vulgar fraction is, may perhaps be acquired from the use of si.ch things as ^, ^, |, when tigged to the end of the measure of a piece of cloth, or the price of a pound of sugar. A decimal fraction, however, i» rather a mysterious sort of thing, and as to a logarithm, why, it is on a par with the Egyptian hieroglyphics. Vulgar fractions, decimal fractions, and logarithms, although Intimately connected one with another, have their own peculiar properties aud uses • vulgar fractions may, however, be considered the simplest and most rudiment- ary form, and I shall, therefore, commence with a brief exposition of them : a perfect understanding of their properties and uses will facilitate the acquire- ment of the others. A fraction, as its name implies, is apart of some one thing -a part of unity. It IS, therefore, always less than unity ; the unity may be any thing, a weight, a measure a portion of time or space, or any thing distinctly conceived as a umtij Thus an ounce, or any number of ounces less than a pound, is a frac- tion of a pound J a minute, or any number of minutes under sixty, is a fraction of an hour ; and so on. The form of a vulgar fraction consists of two flffnres placed one above another, and divided by a horizontal line, the figure or figures above this hori- ^°n i *u ^ ?°^ ^^^"^""^ *^^ " ««'"^^«<«^." the figure or figures below being called the denominator ; » as, 4, |, j|, in which the upper figures, 1, 3, and 15, are the numerators, and the lower ones, 2, 8, and Ifi, arc the denominators. In every vulgar fraction the denominator expresses what number of parts the unity IS supposed to be divided into, and the numerator expresses the number of those parts meant to be indicjited by the fraction, so that th« real value of (100) commi:rcul computations. a fraction is the quotient resulting from a division of the numerator by the denominator ; thus, in the fraction ^, unity is supposed to be divided into two parts, that is, 1 divided by 2 ; |- is 1 divided by 3 ; and so on. If the numerator consistsof morethanl,a8in|^, the same division is supposed to be made, for the fraction -| may be represented by ^ + ^ + |- 5 b"* we economize the use of figures by writing -| at once. By making the numerator really divisible by the denominator, the fractional form will disappear ; thus, suppose i to repre- sent the fraction of a pound sterling ; if the numerator be multipliea by 20, the equivalent value of the pound in shillings, the next lower deuomiuator, it be- comes ^-, and dividing the numerator 20 by 2, we get 10s., the half of the pound. Here the intelligent reader will perceive that to cjill 3^- a fraction does not agree with the previous definition that a fraction must be less than unity : strictly speaking, it is not a fraction ; and arithmeticians have been obliged to distinguish it by the name of an improper fraction. It has the /or/?i of a frac- tion, and that is all. The use of quantities, however, in this form, is attended with so many advantages, that if clearly understood we may put up with the solecism. Let it, however, be firmly impressed on the mind, that all quanti- ties wluitever^ having the fractional for7n, represent the quotient resulting from the division of the numerator by the denominator -. the importance of this will be seen as we proceed. From this conception of a fraction it follows that, provided the quotient that would result from the actual division of the numerator by the denominator be the same, both of them may be hidetiuitely increased or diminished. Thus i, 8 5 6 _|8 8 8 are all precisely of the same value, viz., i, or one hall, altiiough their numerators and denominators are so different. Fractions arc constantly occurring whose numerators and denominators consist of num- bers so large, as to render them, so to speak, cumbrous in practice, but which, at the same time, are capable of being reduced to a much simpler form. This will, perhaps, be best understood by a reference to whole numbers. lumbers are said to be either />rime numbers, or to be made up or composed of them. Thus the numbers 2, 3, 5, 7, 11, 13, 17, and 19, are prime numbers, because there is no whole number that will divide them without leaving a re- mainder. On the other hand, 4, 6, 8, 9, 10 j 12, 14, 15, 16, and 18, may be re- solved into their elements or prime numbers by division. Thus 4 = 2X2,6 = 2x3,8 = 2X2X2,10 = 2X5, 12 = 2X2X3, 14=2X7, 15 = 3X5, 16 = 2X2X2X2, and 18 =.3X3X2. The prime or smaller numbers are said to be the ^^ factors " of the larger or composite numbers. Now, suppose any fraction having a complex numerator and denominator, it will immediately be seen that all the prime numbers com- mon to both may be expunged without altering the value of the fraction. Thus the fraction M may be resolved into its elements, thus ; |-|=f x'^x^xTfxTj". in which the 2's in £he numerator, and an equal number of them in tne denom- inator, may be expunged, leaving the fraction Ty^-|^-j=|^ ; or, without complete- ly resolving the fraction into its ultimate elements, we may represent ^ by ^x\-, and expunging the 4's, we have |^, as before. All that we want is to get numbers that are common to the numerator and denominator, in order to throw thom out of the fraction ; the larger these common numbers are, the more the fraction becomes simplified. Sometimes it is desirable in practice to increase the terms of a fraction ; in that case all that is necessary is to multiply both numerator and denominator by the same number. Thus, ^ multiplied by 5 gives us |-|, and this again by 6 gives us ^4^, a fraction of the same value as 4 ; for, resolve it into factors, and it becomes ^^xf xf ' ^^ which the lO's and S's may be expunged, leav- ing |. 9* (101) Itl BOOK-KEEPING. COMMERCIAL COMPUTATIONS. i'ilii f ' \l f ft If the numerator of a vulgar fraction be multipliefl by any whole number without, at the same time, multiplyiug the denominator by the same number, the value of the fraction is obviously increaRed. Thus, if the numerator of the fraction | be multiplied by 2, it becomes J, which is greater than 4 — it is double ; unity in both is supposed to be divitied into eight parts, but the first fraction represents 3 only of those parts, while tlie otlier represents fi of the same parts. On the other hand, if the denominator alone be multiplied, the fraction is lessened ; thus, if 8 in the fraction | be multiplied by 2, we have j8^, which is only one half of |; unity in one case bring supposed to be divided into sixteen parts, in the other into eight parts only, while 3 is taken in both instances. Some curious results take place by aiUlivg and subtracting from the terms of a fraction, but they are of little practical utility. The application of the common rules of arithmetic to vulgar fractions wi^T be easily understood. Thus, to add two or more fractions together, we must first reduce them to the same denominator. It is clear that we could not adu together two such fractions as |^ and |, without altering their form ; but if we multiply the first by 3, we get y^, and the second by 5, we get 14, and by add- ing together the numerators, we have 1|, which is obviously an improper fraction and actually dividing 19 by 15, we have 1^^, consisting of a whole number and a fraction; and from this example, it will be seen that all im- proper fractions may be expressed as a mixed number, consisting of a whole number and a fraction ; and vice versa, all such mixed numbers may be repre- sented as improper fractions. Thus, in the mixed number 2^, if the whole number 2 be multiplied by the denominator of the fraction, and the numera- tor added to the product, it becomes |- In the subtraction of one fraction from another, the smaller numerator is subtracted from the greater, after both are reduced to a common denominator. Thus, to subtract | from f , we have, as before, 4 = A a°d i = |4> and sub- tracting from 10, we have ^l^. 5 1 5 a 1 5 Fractions are multiplied together by multiplying the numerators together for a new numerator, and the denominators together for a new denominator. Thus, to multiply ^ by ^, we have |^xf -i| = tV ^^ resolving the 8 mto 2 X4, and cancelling the 2*8. In the multiplication of fractions, we get a less protluct than either of the separate fractions, which seems a contradiction in terms. Indeed, it cannot be said to be really multiplication at all; the term applies rather to the process used with the two terms of the fraction than to the result. The multiplication of fractions is in reality a species of division, and conversely the division of fractions becomes a species of multiplication, since the result or quotient is greater than the divisor or the dividend. The rule usually given, is to invert the divisor, and proceed as in multiplica- tion. Thus, to divide 4 hy4, we invert -J-, which becomes 4, which, multiplied by -|. gives -1^ = 3, which a moment's reflection will show to be right, because 3 times X must be 4. Any ambiguity that may result from the terms used, and which are borrowed from the use of whole numbers, will disappear when t!ie use of fractious is thoroughly understood. (102) DECIMAL FRACTIONS are distinoTiished from vulgar fractions by the circumstance of their denomi- nators being always 10 or multiples of 10 — hence the term decimal. Thus 2 2 5 ^ 3^5 6 are decimal fractions, but they are not in practice expressed u^thismaniM. The simplicity of the denominator enables us to do away with it altogether, since the numerator itself always indicates the denominator. The three fractions above given are expressed simply by .2, .25, and .350, the dot before each indicating that it is a fraction, and the number of integers pointin"- out the denominator, tchich is ahcays unity with as many ciphers as there are integers. Thus, .2 has for its denominator 10, .25 has for its denomi- nator 100, and .356 has for its denominator 1000. It i8 this doing away with the denominator that renders the decimal fraction so useful ; for so long as the dot which points out where the fractional charac- ter commences is correctly placed, the decimal may be treated in every respect like a whole number in arithmetical processes, until the precise value of the fraction is required. . As a decimal fraction is a purely artificial sort of thing, fractions being gen- erally presented to us in their vulgar form, (except in cases of decimal weights and moneys, as in this country, France, and other places,) the first step is to transform the vulgar fraction, when necessary, into a decimal having the same value. This we are enabled to effect by multiplying both numerator and denominator b^ such a number as will convert the latter into 10, or a multiple of 10 Thus the vulg.ir fractions ^ and | are converted into the equivalent decimals of A and X\, or .5 and .75, by multiplying the first by 5 and the sec- ond by 25. Tliere are, however, some numbers which cannot be thus brought Into 10, or any multiple of 10. Take the fraction | as an example. It is ob- vious that no multiplier whatever will make the 3 ot the denominator 10, or any multiple of 10 ; for, if such a number could be found, it would follow that 10 and every multiple of 10 would be divisible by 3, which is impossible. If we multiply the fraction by 3, we get | only ; if by 33, we get ^ ; if by 333, we get A66 . and though by every step we get nearer the precise number required, yet,^j,^as far as we will, we can never attain it. By taking a sulTicient number of figures, we can render the error so small that it becomes iuiippre liable in practice. Thus, if we should write .6, we should introduce an error of ^^ ; if we take .66, we reduce the error to ji^ ; and if we write .«66, we reduce it to _ 1 ; and so it constantly diminishes in a geometrical ratio with every figure added to the numerator. With all numbers that will not divide 10 and its multiples, such as 3, 6, 7, and 9, we must use these approximative numerators. To convert any vulgar fraction into a decimal, the rule is to divide the nu- merator by the denominator, adding ciphers, of course. Thus ^ becomes .5 by dividing 10 by 2 ; -I becoJlies .75 by dividing 300 by 4. If it is necessary to add more than one ciplier in the first instance, as many ciphers must be placed in the quotient after the decimal point or dot, as there have been ciphers used above one. Thus, to convert the iraction ^ into an equivalent decimal, two ciphers must be added to the 1 before it becomes divisible by 25 ; the quotient, therefore, is not .4, which is the equivalent decimal of ^^, but .04 or ^^=-^j. The fraction -jA^, for the same reason, would be expressed by .005. With these explanations of the nature of decimal fractions, the application of the common rules of arithmetic will easily be understood. Suppose that we have occasion to add together the mixed numbers 2^, 4^, (>|, 8|, and 7-|. In their present form, it would be necessary to convert them into improper fractions, bring them all to the same denominator, and add together the nu- ('■03) '9 111 BOOK-KEEriNO. merators which would be a troublesome process. But If the fractions are converted into their equivalent decimals, the process of addition will in no way differ from that of whole numbers. Thus : ~ 2\= 2.25 4^= 4.50 = 6.75 = 8.6G + = 7.80 Added together = 29.96 It is necessary to be particular in having all the decimal points in one line, and ail trie decimals of the same value underneath one another, just as in whole numbers units are placed under units, tens under tens, hundreds under liun- dreds, and so on ; for as the value of whole numbers is increased tenfold from right to left, so the value of decimals dimiuishos in the same ratio Irom left to right. 567, as a whole number, is represented by 500 + 60 + 7 ; but .507, as a decimal fraction, is represented by ^5 _|_ 6 _^ ^^7 In subtraction, the decimals and whole numbers being placed according to their value, we proceed as in the common rule j for instance, to subtract Xi i6 from 540J267, we write them thus : — 640.267 32.460 507.807 Multiplication Is performed in the same way as in whole numbers, only care must be taken to have tlie decimal point in its proper place. If we have to r. ?l^ * o^ ""l^^'r ^'^"°° ^ ^^0 i' '''^ -^* iV' '^^''^'^ i« equal to . 1 } multiply ^l ^^ '^J *"^ "^^ have .10, or ^\, which is ll^e same as J^., or .1, as before. The rule for the placing of the decimal point is to have as many decimals in the product as there are in the multiplier and multiplicand to'^ether Thus in ^ X .2, the figures of the product .10 are both decimals, there being two deci- mals, .5 and .2 ; for the same reason .25 X .5 =.125. and 25.3 x -•.4 = 0O.7> If the product does not, on multiplication, contain a sufiicient number of decimals a cipher or ciphers, as may be necessary, must be added on the left hand side Thus .2 X .2 = M, not .4 ; ..3 X -T = .09, and not .9 ; likewise .O-J X .004 = .0001"' In dtvision as many decimals are pointed off in the quotient as the decimals of the dividend exceed those of the divisor. Thus, to divide ..357 by .7, we -et .51, the dividend having two more decimals than the divisor. In like manu'l'r to divide 25.84 by 7.6, we get 3.4, since the dividend has two decimals, uud the olvlsor one. LOGARITHMS. The nature of logarithms will be understood by a reference to the followiner cent, per annum, will gain^an amount of uiterest equal to itself; in -^^ of that time, it must gain ^^j- as much, and so on. Therefore, let $857.03 = the principal ; and 857.03 is the interest for 200 months ; and 85.763 is the interest lor 20 months ; and 8.5763 is the interest for 2 months j and ,85763 is the interest for days. These results are obtained by simply changing the position of the decimal point. Hence we derive the following Rule for Computing Interest at 6 per cent. Take JU of the given principal for Jhe interest for 20 months ; take y^ of the given principal for the Interest tbr 2 months ; take j-^-^ of the given prin- cipal for the interest for 6 days, and from the interest so obtained, compute for any other time required. Note. The sum loaned is called fhe principal ; principal with the interest added makes the amount. What is the interest of What is the interest of What is the interest of What is the interest of $100 for 2 months.* 56 for 2 months.* 5 for 2 months.* 1250 for 5 months? illustration. Ans. $1.00. Ans. .56. Ans. .05. Ans. 31.25. $12.50 = interest for 2 months. 12.50 = 6.25 = 2 1 $31.25= " " 5 What is the Interest of $367.75 for 9 month*? (107) « it Ant. $16.5&. ill ii^ II i BOOK-KEEPING. ILLUSTRATION. 9 3.6775= interest for 2 months. 4 14.7100= " Half of 2 months' interest, 1.8387= " 8 1 What is the interest of f 150 What is the interest of 500 What is the interest of 67. What is the interest of 375 What is the interest of lOOO $16.5487= " «« for 7 months .' for 9 months.' ■5 for 1 year 7 months ? for 15 days ? for 26 days .' <« i< Ans. $5.25. Ans. 22.50. Ans. 6.44. Ans. .94. Ans. 4.33. $1.00.0= interest for 6 days. 4 ILLUSTRATIOK. 4.00.0 = .33.3 = « 24 " 2 -. and of that interest, the fractional pari which the days represent of a year would have to be taken. For example if It 18 desired to know the exact interest of $300 from May Ist to December 2oth, we should compute the interest for 1 year, which is $18. Then count the number of days between the dates, (not countin- the day we start from, but counting the one we reckon to,) which is Zi8. The time between May Ist and of $18 18 the exact interest for a38 days. Instead of the above method of com- puting time, business men adopt the following, which is more convenient, and sufficiently accurate. Count thewhole number of months, and the odd davs rnus, m reckoning from November 20th, 1859, to March 6th, 1860, we should count from >ovember 20th to December 20th as one month, thence to January 20th as two months, thence to February 20th as three months, and the 9 days left m lebruary and 6 days in March making 15 days, the whole time is counted as 3 months, 15 days. Another method sometimes adopted is. to count the exact number of days between the dates, and then divide them into months of 30 days each. This course is objectionable, as it gives too much interest, the excess amounting to nearly $1 in every $73 of interest obtained 'LrH'^^T J\l ^-^amples given in the annexed table, the computations are made by the three methods referred to above, in order to show the exact Interest for the various lengths of time, and the variation from the exact in- terest, which results from the different modes of counting the time. (106) INTEREST. The student is advised to copy the amounts and dates, and make all the computations himself, without reference to the results given in the book, un- til he has completed his own work. By adopting this course, he will become thoroughly familiarized with the different modes of reckoning the time and the interest. II Int. by Int. at Princi- Time from Months and Exact Mos. and 30 Days pals. 1859 to 1859. Days. Days. Interest. Days. to the Mo. $375 450 50 75 April 3. Jan. 15. Sept. 1. July 17. 151 1&3 4 6 29 2 $ 9 13 32 $ 9 56 13 32 67 $ 9 13 45 75 600 00 Sept. 1. Dec. 31. 121 4 11 93 12 00 12 10 .340 00 May 10. Dec. 15. 219 7 5 12 24 12 18 12 41 879 20 July 7. Oct. 31. 116 3 24 16 77 16 71 17 00 50 00 May 1. Dec. 30. 243 7 29 2 00 1 99 2 03 960 00 July 1. Dec. 31. 1&3 6 28 88 28 80 29 28 1000 00 June 30. Dec. 31. 181 6 1 30 25' 30 1 17 30 6/ 800 00 Oct. 1. Dec. 15. 75 2 14 9 86 9 87 10 00 37 00 Jan. 15. Nov. 15. 304 10 1 85^1 1 85 1 8/ 368 00 Feb. 14. Oct. 31. 259 8 17 15 67| 15 76 15 89 200 00 Jan. 12. Apr. 15. 93 3 3 3 06j 3 10 3 10 300 00 May 1. Dec. 25. 238 7 24 11 74| 11 70 11 9U 750 00 June 10. Nov. 10. 153 5 18 86 18 75 19 13 870 00 Jan. 31. Nov. 15. 288 9 15 41 19, 41 3;i 41 76 360 00 Feb. 10. May 27. 106 3 17 6 27! 6 42 6 36 75 00 Feb. 27. May 31. 93 3 4 1 15! 1 1 18 1 16 3000 00 July 3. Oct. 15. 104 3 12 51 29| 51 00 62 00 480 75 Sept. 1. Dec. 31. 121 4 9 56 9 02 9 /O 750 1 25 July 7. Dec. 15. 161 5 8 19 86 19j70 20 13 200 00 Feb. 15. July 15. 150 5 4 93 5] 00 5 00 344 60 Mar. 10. Dec. 10. 275 9 15 58; IS 151 .|69 15 /9 1$ 335 82 $ 33£ $ 340 48 A six months' note, dated either on the 28th, 29th, 30th, or 31st of August, in any year excepting the one next preceding leap year, will become due, with grace added, on the 3d of March. A bill of goods sold on either of the days in August mentioned above, on six months' credit, will become due on the 28th of February ; and in making up accounts current, when it is required to reckon the time forward from the 28th of February, we should say that from the 28th of February to the 28th of March, is one month, to the 28th of April is two months, and so on, and not say from the last of February to the last of March is one month, and to the last of April is two months. INTEREST AT DIFFERENT RATES PER CENT. Interest may be computed at different rates per cent, by finding the interest at 6 per cent, first, and adding to or deducting from this interest, as may be re- quired. Or the interest may be computed for one year, by multiplying the prin- cipal by the given rate per cent., and dividing by 100, which will always give the interest on any sum, at any rate per cent., for one year ; and from this interest compute for any number of years or parts of a year. Either plan may be 10 (109) • i T. I t i BOOK-KEEPING. adopted, as will be found most convenient. As a (general thing, however, the latter mode requires fewer ligures. A careful person would be likely to work hi8 examples by both methods, and by this means obtain proof of the accu- racy of his work. What is the interest on $3703.89 for 1 year 4 months 2 days, @ 5 per cent. ? xxr^, ^ . x,_ . ■^^«- $251.97. What 18 the mterest on $620.84 for 2 years 6 months 26 days, @ 4 per cent.? ^., . Ans. $(>4.49. W hat IS the interest on $4430.88 for 3 years 1 month 28 days, s 7 per cent. .' __- Ann. $9S0.46. What is the interest on $1375 from November 10, 1860, to February 25, 1,s61 © 2 per cent, a month ■> ^„^_ ^9,;^ ' To ascertam how long a time is requin^d for a given principal to earn a given amount of interest. Divide the interest to be earned by the interest ou the pnncipal for one month, and the quotient wiU be the number of mouths and the fractional part of a month required. Example : How long must $385.56 be on interest to gain $10.15, at 6 per cent. ? 2) 3.8556 1.8278= 1 mo. Int. ILLUSTRATION. 1.9278)$10.15(5m.8da. Ans. 9.f)390 .5110 x30 da. in a mo. 153300 154224 How long must $3756.80 be on Interest to earn $301.80, at 6 per cent. .» „ , 1 y. 4 m. 2 da. How long must $763.80 be on interest to earn $124.12, at 6 per cent. .' _ , 2 yr. 8 m. 15 da. How long must $350.75 be on interest to earn $18.62, at 7 per cent. .' _ , 9 m. 3 da. How long must $1700 be on hiterest to earn $127.50, at 5 per cent. ? 1 yr. 6 m. PARTIAL PAYMENTS ON PROMISSORY NOTES. The following directions for casting interest upon notes where partial pay- ments have boen made, is of so much importance, and will be found so bene- ficial to the business man, that I have deemed it necessary to insert it entire. It is taken from the Massachusetts Reports, volume 17, page 417. Dean vs. Willia>is. In casting interest upon bonds, notes, Ac, upon which partial payments have been made, every payment is to be first applied to keep down the inter- est ; but the interest is never allowed to form a part of the principal, so as to carry interest. , By the Court. — One of the methods of casting interest where partial pay- ments have been made and indorsed on bonds, notes, or other securities for money, is to calculate the interest from the date of the security, or the time when the interest is to commence, to the time of the first payment indorsed, to add this to the principal, and from the sum to subtract the payment. On this remainder interest is cast to trie time of the second indorsement, which te added to the remainder, and from the sum is subtracted the second indorse- (110) INTEREST. „ent In like manner interest is cast from one payment to another, and to interest, which the law does not allow J^«; ;«^^ ^ "^' J^^^^^ ^own the in- ^Ztt^^l^ :;• n^v^ar i' ^'Sr: ptr„AJpH.c.pal so .. commenced to the ^^ ''* ^^^^ '^^^^^ precedin- payments, if any, the interest at ^oitrSh of January, 1859,. note wa, given for »15C«, payable o» demand, With interest. There was paid on the note, 12th June, 1859, $200. 15th Sept., " 15th Dec. " 3d Jan., 1860, 12th July, " 31 St Dec " 370. 200. 100. 20. 300 3l8t L>ec- " OVA/. *i,«„^„.? Settled 10th January, 1861. What amount was then due illustration. $1500 38 int. 5 mos. 2 days. 1538 200 iBt payment. 1338 20.74 int. 3 mos. 3 days. i:j58.74 370.00 2d payment. 988.74 14.83 int. 3 months. 1003.57 200.00 3d payment. 803.57 2.54 int. 19 days. 806.11 100.00 4th payment. 706.11 42.13 int. 11 mo. 28 days. 748.24 320.00 5th and 6th payments. 428.24 .71 int. 10 days. $428.95 due 10th January, IMl. (HI) i f«*i (I i *i i: 1^ I k» BOOK-KEEPING. •3000. James H. Blackie. _ , George Hembold. on the note at that date ' ««"u«ry .iisi, laei. What was due Ans. $278.18. CREDIT TABLE. ^ Date. January. February. March. April. May. June. July. August. September. October. November. December. Four Montlu. May. June. July. August. September. October. November. December. January. February. March. April. Six Months. July. August. September. October. November. December. January. February. March. April. May. June. Eight Monthi. September. October. November. December. January. February. March. April. May. June. July. August. It t *JS ^"' """^ ""' '■"" ""' "'" --- O'^" ^ «>«. the one on which It t Tit"' "'*" "'" *"' "- » «■« •->» ^'y of the week as that on whieh It t ^ ''''' ""^ ""' '■'" "- '"» -* <"y» '«ter than the one on which ANNUAL INTEREST. v'Xi:::Xl^ indrmryrcoS:d\"tr ^':f t ^-^ - ^^^ ^^^-* not collected at that time, The i^tereSp tl '°**, **^ "^"^ ^"" ' ^"* ^ '* *« Original pH„a>a? muriot be ncreased bv anv^^HH^'""^''/"'^^'^'' ^*^ *^« The amount due on any note drawint InL.^ f *i°^/^ ^^'^'"'^ ^"t^'-^^*- paid on it until maturity, consistfofthp^ntni^i^^^ if nothing has been simple interest on J^ iZofl^^^'^^^^S ' ' ^^'^'^'^ interest.aad (112) INTEREST. COMPOUND INTEREST. Compound interest is the use of both principal and interest, aft-^r the time when the simple interest has become due, and is not paid, but is allowed to be added to, and thus to increase, the original principal. Semi-annual interest is the same as compound interest, except that it is computed by half yearly in- stead of yearly rests. A man may receive compound interest, without being liable to the charge of usury, provided tlie borrower chooses to pay compound interest ; but the creditor cannot legally collect any more than simple interest on any note or debt. In computing compound interest, first ascertain the simple interest on the principal to the time when the interest is deemed to be due ; add that interest to tlie principal, and consider the amount a new principal, upon which simple interest is to be computed till the termination of the next period, and so on. The original principal deducted from the last amount will leave the compound interest. What is the compound interest of $500 for 3 years 4 months, at 6 per cent, per annum ? Ans. $107.42. ILIJJSTRATION. • Principal for the 1st year, 600 6 Interest for the 1st year, 30.00 500. Principal for the 2d year, 530.00 6 Interest for the 2d year, 31.8000 530.00 Principal for the 3d year. 5G1.80 6 Interest for the 3d year, a3.7080 561.80 Principal for the 4th year, 595.51 6 Interest for 4th year, div. by 3 ) 35.7305 Interest for 4 months. 11.91 Principal for 4th year. 595.51 Amount for 3 years 4 mos., 607.42 Deduct 1st principal, 500.00 Compound interest, 107.42 A young man receives a bequest of $800, which he deposits in a savings bank on the day that he is 17 years of age. How much will he have to his credit ill the bank when he is 21 years of age, provided he withdraws nothing during the time, and the bank allows him 5 per cent, interest per annum, payable semi- annually ? Ans. $974.72. 10* (113) i;- li ->^ lift ■f BOOK-KEEPING. INTEREST. II 1 1* ' i it t « TABLE, Showing the Amotmt of £\ or §1, /or 30 Tears, at 5, 6, and 7 per cent^ Compound Interest. Years. 5 per cent. • 6 per cent 7 per cent 1 1.0 5 1.060000 1.070000 2 1.10 2 5 1.12 3 6 1.14 4 900 3 1.15 7 2 5 1.19 10 16 1.2 2 5 043 4 1.215506 1.262477 1.310795 5 1.270281 1.338225 1.402552 6 1.340095 1.4 18 5 19 1.500730 7 1.4 7 10 1.503630 1.605781 8 1.477455 1.593848 1.718186 9 1.551328 1.689479 1.838459 10 1.628894 1.790848 1.9 G 7 15 1 11 1.710339 1.898299 2.104852 12 1.795856 2.0 12 19 7 2.252191 13 1 . 8 8 5 C 4 9 2.132928 2.409845 14 1.979931 2.260904 2.578534 15 2.0 7 8 9 2 8 2.396558 2.759032 16 2.182875 2.540352 2.9 5 2 164 17 2.292018 2.692773 3.158815 18 2.4 6 G 1 9 2.8 5 4 3 3 9 3.379932 19 2.526950 3.025600 3.6 16 5 2 8 20 2.6 5 3 2 9 7 3.2 7 13 6 3.8 6 9 6 8 5 21 2.785963 3.399564 4.140563 22 2.925260 3.G 3 5 3 9 4.430403 23 3.071524 3.819750 4.740530 21 3.225100 4.048935 5.0 7 2 3 6 7 25 3.386355 4.291870 5.427434 26 3.555673 4.549383 5.807352 27 3.7 3 345 7 4.8 2 2 347 6.213868 28 3.920130 , 6.111688 6.6 4 8 8 3 8 29 4.116136 5.4 18 3 8 9 7.1 14 2 5 7 90 4.321943 5.743493 7.6 12 2 55 By the use of the above table, the labor of computing compound interest is greatly reduced, for by multiplying the amount of £l or $1 for any number of years, not exceeding 30, by the given principal, the interest is at once obtained. "What is the compound interest on $775 for 5 years, at 7 per cent. .' Ans. $311.98. Amount of $1 for 5 years at 7 per cent, by table, Deduct principal, (114) 1.402552 X775 $1086.97778 775. $311.97778 COMrUTATIONS OF INTEREST ON STERLING CURRENCY. The lo^al rate of interest in England is 5 per cent. ; and we compute Interest on pounds, shillings, and pence, by the two rules given below. The first will give the exact rosult in all cases. The second rule is a shorter and more rapid method, and although not so accurate as the first, is yet suffi- ciently so for ordinary purposes, and is very useful in making out accounts current, averaginfr, &c. Rule 1st. Multiply the principal expressed in pounds, and decimals of a pound, by the rate per cent., and divide by 100 ; the result will be the interest for one year. From this interest we compute for any number of years and parts of a year required. Note. As the time for computing interest on sterling currency, between two dates, must be reckoned in years and days, and not in years, months, and days, it is necessary to get that fractional part of a year's interest for days which the days represent of a year. Rule 2d. Multiply the number of pounds and decimals of a pound by the number of days, and divide the product by 30. The quotient will be the answer in pence, from which one penny in every 73 pence must be deducted to give the right result. Reason of the rule : The rate of interest being 5 per cent, per annum, a pound will earn a penny a month. This will be clearly seen from the follow- ing statement : If £5 sterling (that is, 100 shillings) are paid for £100 sterling for one year, then 1 shilling is paid for £1 for one year, and 1 penny is paid for £1 for ^ of a year, or one month. Hence it lollowsl ^^^ i that the number of pounds in the principal is equivalent to the number of pence which that principal will earn in one mouth. For example ; £ 100 sterling in one month will earn 100 pence ; £75 sterling, 75 pence, and so on ; and to get the interest for any number of days more or less than a month, it is only necessary to multiply by the number of days, and divide by 30. But as 30A days are just ^ of a year, we should use .30^^,^ for a divisor, instead of 3o] and to avoid the trouble of using this mixed number for a divisor, we re- duce the quotient derived from dividing by 30 enough to give the same result as would be obtained by dividing by 30^^, which reduction must be -^^, or 1 penny for every 73 pence. What is the interest on £375.14.6 for 2 years 6 months ? Ans. £46.19.4. ILLUSTRATION. 12|6 20 14.5 375.725 5 per cent. £18.78625= 1 year's interest. 2 years. £37.57250 = 2 years' interest. 9.30312 = G months' interest. £46.90562 20 8. 19.31240 12 d. 3.74880 (115) it :tl II BOOK-KEEPING. What i8 the interest of £CiO. 10.7 for 3 years 4 months > Jns £ lo 1 9 What is the interest of £500.5.3 for 1 year 9 months > Am ' £43 iVg* What 18 the interest on £37.7.0 from Ist July to 17th September ? ' ' * Ans. 7 B. 6 d. ILLUSTRATION. £37.375 X. 05 =1.86875. X78= 145.7G20- 365= £..39935 = 7 8. lid. Or by the 2d Kule, £37. X 78= :J886 -T- 30 = 96. — 1 = 95 pence, or 7 s. 11 d. What is the interest on £984.10.11 from Ist March to Ist December .' Atis. by 1st Kule. £.37.1.9. ift^ ^'^ ^ ^'"""^ ^^ September, 1859, to 28th December, ^na. by Ist Rule. £5.12. Ans. by 2d Rule. £5.12. A TABLE Showing the Number of Days from any Day of one Month to the same Day of any other Month. 1 From \ any Day of ^ Jan. Feb. Mar. 306 337 Apr. May June 214 245 July Aug. Sept Oct Not. Jan. 365 31 59 334 276 300 334 245 184 153 184 122 92 61 Feb. 365 28 59 276 215 243 153 123 92 Mar. 365 304 335 365 273 212 181 212 151 120 Apr. 90 31 365 304 274 243 182 151 May 120 89 61 30 334 304 273 242 273 303 212 181 Jane 151 181 212 120 92 61 31 365 30 61 91 335 304 334 243 212 July 150 181 122 91 122 61 365 273 242 Aug. 153 184 92 31 .365 334 30i 273 301 Sept 243 212 153 183 123 62 31 365 30 335 Get 273 242 214 153 122 153 183 92 61 92 365 334 365 Not. 304 273 245 214 244 184 214 123 61 91 31 I>ee. 334 303 275 153 122 61 30 Dec The above table is very useful as a check upon errors in countino- the days from one date to another, for any time within a year. Example : How many days are there from March 4th to December 4th ' Follow down the column which has March at the top, until you come to the line which has December at the side, and there the number of days wiU be louncl — 2io. How many days are there from February 22 to July 28 ' From February 22d to July 22d there are 150 days, to which add the 6 days extra m July, and we have the whole number — 156. (116) INTEREST. DISCOUNT. Discount is the tlse of money before it is due. It is of the same nature as interest, and differs from it only in this one particular : that it is the use of money before the amount is due, instead of the use of it after it is due, or after a given date. The term discount has other meanings, however, than the literal one just given, and sometimes implies the deduction of so much per cent, from the face of the bill, or the taking out of interest on a promis- sory note before the interest has accrued, as is practised by the banks. This is usually distinguished from true discount, by calling it " Bank Discount." The method of computing ttank discount does not differ at all from simple interest, but the method of computing true discount is quite different, and consists in determining the difference between the value of a sum of money due at a certain future time, and its value in hand. Thus a debt of $10G due a year hence, is considered to be worth $100 to-day, when money is worth per cent, per annum, for the reason that $100 put at interest to-day, at that rate, would anK>unt to $106 in a year. The difference between this present and future worth of a debt, amounting in this case to 6 dollars, is the measure or value of the discount. In computing interest, we always know what sum is at in- terest, and that sum is always increased by a certain per cent, of itself; but in computing discount, we have to ascertain what sum must be at interest, which, being increased by a certain per cent, of itself, shall just amount to the given Bum or debt. For example, we know that $1.00, put at interest, will amount to $1.06 in a year ; therefore, to get the present value of any sum due a year hence, at 6 per cent., it is only necessary to ascertain how many times $1.06 is contained in the given sum, and the present value is found. If the debt be due 6 mouths hence, we find how much 1 dollar will amount to in G months, and divide the given sum by that amount. We proceed in the same manner to ascertain the pres- ent value of any sum due at a future time, being particular to get the exact amount of a dollar at the given rate, as nearly as can be ascertained, for the divisor, as a variation of a few miUs in the amount sometimes makes a great difference in the final result. What is the discount on $307.58 due 1 yr. 6 mos. hence, at 6 per cent. ? ILLUSTRATION. 367.58^1.09 = 337.23 Amount of the debt, $367.58 Present value, 337.23 Discount, $30.35 Proof: $337.23 X .09 = $30.35 interest for 1 year 6 months. 337.23 + 30.35 = 367.58. What is the discount on $1500, due 6 months hence, at 10 per cent, per annum ? Ans. $71.43. Suppose I purchase a bill of goods, on G months' credit, amounting to $1500, but get 5 per cent, off for immediate payment ; what do the goods cost me •• Ans. $1425. ILLUSTRATION. $1500 X .05 = $75. $1500 — $75 = $1425. It will be seen by the above example, that the difference between the true discount on $1500 for 6 months at 5 per cent, for that time, and 5 per cent, off, is $3.57. (117) r:f :1 1 BOOK-KEEPING. INTEREST. 'U Note. It la customary to make a deduction from the face of stich bills as are sold at the credit price, when they are paid in cash at the time of sale, or at any time after the sale, if within 30 days ; aud such " deduction," " per cent, off," or "discoun.," is always computed as in the last example above. Tliis kind of discount is always more favorable to the person paying the money, than true discount is. What is the discount on $357.75, due 1 year 3 months 17 days hence, at 5 per cent, per annum ? Aiis. $21.79. If the discount on $1060 for one year, at 6 per cent., is $G0, how much is the discount on the same sum for half the time, or 6 months.' Ans. $30.87. Althou^'h the interest on $1060, or any sum, for months, is just half as much as it would be for a year, yet it will be seen by the above example, that the discount cannot be ascertained for parts of a year by getting it for a whole year first. I buy a bill of goods amounting to $2500 on 6 months' credit, and can get 3 per cent, off by paying cash. "What should I gain by paying the bill now, provided I have to hire the money, and pay 6 per cent, a year for it ? Jnfi. $53.75. What would be received on a note of $300 at 60 days, if discounted at a bank at G per cent, a year .' Am. $296.85. Suggestion : Compute the interest on the note for the time it has to run, and three days' grace, and deduct the interest from the face of the note. What is the bank discount on a 4 months' note of $1500, -at 7 per cent, a year? Ans. .$3.i..S74. On the 1st of January, 1860, 1 received a note for $1875.50 at VO days, and had it discounted at a bank on the 15th of the same month. How muoa did I realize upon it : Ans. $1^5>'.81. What should I have realized upon the same note for the same time, co nput- ing by the true method of discount ? Ans. $185 1. ]3. To determine the amount for which a note must be given, in order that it shall produce a given sum when discounted at a bank, — Get the bank discount on 1 dollar for the given time and rate. Deduct this discount from a dollar, and divide the desired amount by the remainder. The quotient will be the face of the note required. I wish to obtain $1000 on a note at 60 days ; what is the face of a not« that will yield that sum, if discounted at a bank at 6 per cent. I Ans. $1010.61. ILLUSTRATION. $1.00— .0105 =.9895. $1000 H- .9895 = $1010.61. For what amount must a note bo given, having 4 months to run, that shall produce $ .950, if discounted at 7 per cent. .' Ans. $1997.78. Per cent, signifies by the hundred. In making computations in which per- centage is considered, it is always understood that the rate mentioned means so many hundredths of the sum upon which the percentage is reckoned. Thus, 10 per cent, of 100 is 10, or ^^^ of 100 ; aO per cent, of 50 is 5, or *IX of 60, and so on with any number. What is 7i per cent, of 950 ? Ans. 71^. What is 50 per cent, of 30 .' Ans. 15. if I buy a bill of goods amounting to $375, and sell them so that they pro- dace a profit of 20 per cent, on the cost, how much must 1 get for them .' Ans. $450. (118) What win an invoice of goods, amounting to $8000, sell for, provided 33J per cent, profit is realized on the cost ? Ans. $10066.661. TO ASCERTAIN THE PER CENT. OF PROFIT OR LOSS. Make a common fraction by writing the gain or loss for a numerator, and the cost of the article for a denominator. Then change it to a decimal . What per cent, is gained in buying molasses at 20 cents a gallon, and selling it for 25 cents ? illustration. Gain= 5 , . , Cost =r20 ~ decimal .25. Ans. 25 per cent, profit means, that by making an outlay of 100 cents we gain L'5 cents. The proof of the above example is the fact that there are 5 times 20 iu 100, and as the gain is 5 cents on every 20 cents expended, the gain on 100 must be 5 times 5, or 25. I buy cotton at 10 cents a yard, and sell it for 12^ cents ; what is the per cent, of profit? A7is. 25. What per cent, is gained by purchasing flour at $7 per barrel, and selling it for $7.50. Ans. 7-f-. What per cent, would be gdned by purchasing a lot of coffee, at auction, amounting to 3800 pounds, at 5^ cents a pound, and selling it at retail at such a price per pound as to produce $627 ? Avs. 200. I send my agent $3000 to invest in wool, and am to pay him a commission of 2 per cent, on the amount invested by him, that is, the sum which he pays for the wool, and his commission of 2 per cent, on that sum must amount to just $3000. What does his commission amount to ? Ans. $58.82. Suggestion : If I am to pay 2 per cent, on the amount invested by him, he must expend 100 cents for every 102 which he receives from me, reserving 2 cents of the 102 for his services. If I buy a lot of flour for 10 per cent, less than its value, and sell it for 10 per cent, more than its value, what do I gain per cout. .' Ans. 22^. Suppose it is desired to take out a policy of insurance on property valued at $7500, when the premium is 2 per cent., for an amount sufficiently large to cover the value of the property and the premium paid j for what sum must the pol- icy be made out ? Ans. $7653.06. Suggestion : It is clear, that if I take out a policy for 100 cents, and pay a premium of 2 per cent., I am benefited, in case of loss, only 98 cents on the dollar ; therefore I must take out a policy for 100 cents on every 98 cents which I wish to secure. Suppose a quantity of goods to cost $75, and a profit of $25 is required ; it ia plain that the $25 must be added to the $75, and the goods are sold for $100. Therefore, to produce a profit of 25 per cent, on the sales, one third of the cost must be added to itself. From this simple illustration we derive a universal rule, by which we can determine what fractional part of the first cost of goods must be added to the cost to produce a given profit per cent, on the sales. Rule. Make the required pei; cent, the numerator, and 100 minus'thG rate per cent, the denominator ; tliis fraction will express the part of the cost which must be added to the cost. To make a profit of ^^, ^^o^, ^1^, ^2^, ^^, ,^„ ,^5_^, ^1^, ^O^, ^6^, on the sales, add ^, lo, 1|, |a, ||, |P_, |5, la, ||, |0, or the equivalent fract's, ^, ^, ^\, \, ^, f ^\, f , ^\, j. (119) BOOK-KEEPING. INTEREST. To make a profit of 10 per cent, on the cost, X of the cost must be «nt. on tlie sales, i of the cost added to cost must be % ^ itself; but to make a profit of 10 per cent added to itself. A. buys a bill of {^oods for $100 with 20 per cent, off; B. buys a similar lot for the same amount with .30 per cent, off; for the goods A. pays $80, and B. $70. The question is, How much per cent, cheaper does B. buy his goods than A.? that is, how much per cent, less is 70 than 80 ; and we must therefore measure the difference by the larger sum. $10, the difference, is 4 of 80 ; it is I less, which is 12^ per cent. B. therefore buys his 12^ per cent, less than A. If, however, the question had been reversed, and placed thus — How much per cent, dearer did A. pay for his goods than B. .' in that case it would be by the smaller sum that the difference should be measured, and we must determine how much per cent, more 80 is than 70. The difference, 10, is i of 70 = 14l- per cent. ' In this supposed transaction, therefore, B. purchases his goods 124 per cent, lower than A., but A. paid 14^ per cent, hit/her than B. In measuring the difference of 'sums or quantities, by percentage, it is important to bear this distinction clearly in mind — that it makes all the dif- ference whether we compare the larger with the smaller amount, or the smaller with the larger amount. Suppose A. and B. hold railroad stock ; A, paid $100 per share, and B. bought the same at $50 a share. The price that A. paid was double that which B. paid ; consequently 100 per cent, dearer ; the price that B. paid was ^ of that which A. paid ; therefore, 50 per cent, cheaper. PERCENTAGE APPLIED TO STOCKS. Suppose railroad stock sells for $80 a share one month, and rises to $95 a ■hare the next month ; what is the per cent, of advance iu the price .' An*. 18f. Suggestion : As 80 is to 15, so is 100 to the required per cent. Suppose railroad stock sells for $95 a share one month, and falls to $80 a share the next month ; what is the per cent, of depredation in its value .' Ans. 15l|. Suppose I buy Green River Railroad bonds, that pay 6 per cent, per annum, for 96 cents on the dollar ; what rate per cent, do I realize on my investment .' Ans. 6l. Suggestion : As 96 is to 6, so is 100 to the required rate. I buy United States 5 per cents at 95 ; what rate per cent, does my invest- ment pay.' ^„5 5J5 Suggestion : As 95 is to 5, so is 100 to the required rate. ^^ I buy 10 shares of City Gas Co.'s stock, the par value of which is $100 per share, for $1250, and it pays a yearly dividend of 8 per cent. What per ccut. do I realize on my investment ? Ans. 6%. Suggestion : As 125 is to 8, so is 100 to the per cent, required. If G per cent, bonds can be bought for .97, and Schuylkill Mining Co.'s stock that pays 5 per cent, can be bought for .&3, which is the best investment ? Ans. €t per cent, bonds. Suggestion : Ascertain what per cent, is realized on each investment, as in the previous examples, and the most profitable will then show for itself. From which would a capitalist realize the greater income, by investing in G^ per cent, stocks at 95, or in 7 per cent, stocks at 97 .' Ans. 7 per cents by about 1 of 1 per cent. What Income would be derived from uivcBting $12,000 in 6 per cent, stocks ■*90.' jins. $800. (120) ^ Suggestion : Ascertain first what per cent. $\ yields, if 90 cents yield 6. Then say, As $1 is to the per ceut. which $1 yields, .^o is $!2,l)00 to the amount of income. A capitalist having ay opportunity to buy 7 per cent, city scrip, at 9>i, desires to invest enough of his capital to produce him an income of $20W per annum. What sum is required ? Ans. 635,000. Sugg;-tio.i : Ascertain what per cent, the investment pays, in the first place. Tlnni say. As the per cent, is to $1, so is $25(K) to the sum to be invested. I desire to invest in stocks that pay 5 per cent, interest per annum, at such a price that I shall realize 7^ per cent, on my investment. At what rate must I purchase.' Ans. .977, nearly. Suggestion : Ascertain, first, how much one share of stock will amount to in one year at the giren rate of interest ; then find what sum put at interest to-day at the required rate will amount to the same sum as the stock will protluce. ILLUSTRATION. 1.05 ^ 1.075 = 9707 +. Ans. On the 14th July, 1860, A. purchases 10 bonds, each $1000, dated 2.3d June, 18G0, payable in 5 years from their date, with interest at 10 per cent, per annum, payable semiannually from their date, (which interest he intends to reinvest at the same rate, upon receipt of each payment,) and agrees to pay such a price for them that his investment shall produce him at the rate of 12 per cent, compound interest per annum, payable semiannually. What sum does he pay for the bonds at the date of the purchase .' Ans. $9156.24. In such a case as the above, it is necessary to find what amount the bonds will produce iu 5 years, computing comi)ound interest at 10 per cent, per annum, payable semiannually. Tlu-u ascertain what siun put at intereit on the 14th day of July, 1860, at 12 per ceut. compound interest per annum, pay- able semiannually, will, in 4 years 11 months 9 days, amount to the same sum as the bonds will produce in 5 years, which will be the price to be paid. AVERAGING AND SETTLING ACCOUNTS. It is customary with merchants to buy and sell goods on credit ; and instead of paying or collecting the amount of each bill at the expiration of the terra of credit to which it is entitled, monthly, quarterly, semiannual, or annual, settlements are made, at which time the total amount of all the bills is paid, thfreby saving an incalculable amount of time and labor. It is possible that, upon the day of settlement, none of the items of an account may be due ; or tliey all may have long since become due; or, what is more probable, some of them are not due, while others in tlie same account are overdue ; and the pro- cess by which we determine the amoqnt due on an account at a given date, or the exact date upon which the balance of an account is due, or should be paid, witliout loss to either party, is termed " averaging an acr'ount." As interest is the standard by wliich business men measure the benefit they derive from n^eiving payment of a debt before it is due, as well as the injury they sustain from being obliged to wait for payment of a debt after it is due, the priuci])le upon wliich we proceed in averaging accounts, in order that neither debtor nor creditor shall suffer loss, is to charge interest on all sums that are overdue, at a given time, and allow or take off interest on all sums tliat are not due at a given time. Thus, if a bill of goods is sold on the 1st of FehrTiary on 6 months' credit, and another is sold at the same time on 2 months' credit, and a settlement is made on the Ist of the following July, it is evidi^nt that the first mentioned bill is entitled to a deduction of 1 month's mterest, because tlie terra of credit on which the goods were purchased will 11 (121) t 1 \ M 1 'I lit BOOK-KEEPING. not terminate till the 1st of Au-ust, a month later than the day of settlemcMt • and the second bill must be increased by the ouiount of interest it wiUerm between the date on which its credit terminates and the day of settlement Hence, it will be seen by the above illustration, thatneither of the bills can m justice be paid on the l.t of July, without chan-iui,. the orij,aual amount 8.mply because neither of them was settled in accordance with tlie first a^^ee ment But suppose, instead of paying each bill on the very day it became'due or setthng them both on the 1st of July, or on any other assumed date, we de sire to pay the amount of both bills at such a time that ncitlier party shall re- ceive any interest : all that is necessary in such a case, is to ascertuii the date upon which the interest on the sum overdue shnll be just equal to the allovv ance of interest to be made on the sum not due, and the date upon which debtor TuZT:''''^' ^ equally benefited by interest -that is, as much intere t shall be due to one as to the other -is the one on which the balance of the account must be paid. To settle accounts in a proper manner, one of the three methods alluded to above must be adopted, viz. : first, to pay each item of an account at the exact f .^hl f"""' '' 'T,^'"'' P'^'"' '"' ^* *' '*^^^'^*" "•• ^^^-^'^ adopted, requires no further notice; secondly, to fl..M//i. some dat-, and after computing interest on the various items of the account to or from that date, increase or diminish the balance of the account by the amount of interest to be added to or deducted from It ; or, thirdly, to fix upon some .hite oi payment when the amount of interest on both the debtor and cre.lit sides shall be exactly equal However hard arithmeticians or otiiers may labor to convince the learner by mtroducmg a great number of examples, varying oulv lu minor and un- important details, that the difficulty of compnhcuding the subject of avera- ging accounts is to be measured ouly by their >kill in making it appear difficult. It IS nevertheless true that what has been s;ud above, if properlv understood comprises all the directions necessary to coiuprehen.l the i)rinciples of aver- aging any account. The method of applying the principles referred to, ac- cording to the various conditions under which au account may be found will receive especial attention Irom time to time as we proceed ; but to do the work m such a manner, and j.n-sent it after it is done in such a form, as to be intelli- gible without additional explauatiou other tiiau the statement itself, will require practice on the part of the stude.it ; and this ability can Im3 most readily ac- quired by an examination aud careful working of the examples wliich are nerealter introduced. Let us take the example on page 121, whore two bills of goods are purchased on the 1st of February, but on different terms of credit. We will suppose the^first one to be for SlO^o, and eutitlM to a credit of months ; the second to be for S,^, and entitled to a creilit of 2 months. What sum will pay both bil 8 on the l8t of July of the same year ? With the directions already "iven, and without any further assistance, a novice would be very likely to cret the result according to the following operation : — -^ f On the Ist of August there will I.e due ^iqqq But as it is paid July 1st, 1 month's interest must be deducted,* .' * 5 Leaving to be paid on the first bill, ~$995 On the 1st of April there will be due S"^, and as Ihe'amoimt is not paid until the 1st of July, 3 months' interest must be added, 12, 812 Total due on the Ist July, "^^ An accountant would present this example h. the following form, which gives precisely the same result, is easily understood, and combines many ad- vantages which do not appear in the statement just made.' C122) Dr. INTEREST. A. B. in Account tvitk C. D. Interest to 1st July, 1860. Cr 1800. Feb. 1 " 1 Julyl Goods @ mos. Goods " 2 " Balance of Int. Am'ts. Int. 1860. Julyl " 1 " 1 1000|00 800,00 700 1 180? 1 00 5 12 12 00 00| i Am'ts. ! Int.on am't not due Balance of Int. Balance of Acct. ,1807 $ ,1807 00 I I 00 Int. 00 00 00 It is hoped that by giving attention to the following explanation of the above statement, any student of ordinary capacity will be enabled to obtain a clear understanding of it, and to work any other of the same kind, no matter how many items it might contain. In the first place the paper is ruled so that the debits and credits may appear as they do in tiie account upon the Ledger. " A. B. in account with C D.," means that A. B. is the party to whom the account is to be presented, and that C. D. is the merchant from whose book the account is taken. " Interest to Ju- ly 1st, IS»':0," indicates the date upon which the account is supposed to be settled, and to which interest is computed. After the paper is properly ruled and headed, tlie dates of the bills are placed in the date column, the term of credit to which each is entitled in the next, and the amounts in the next. Commencing with the first bill, we find that mouths' credit from its date will extend to the 1st of August, and as it is settled on the 1st of July, of course 1 month's interest is to be allowed or deducted from the face of the bill. But instead of subtracting it as was done in the first illustration, (see page 122,) the amount of interest is placed in the interest column, and marked with a star, to indicate that it must be carried to the other side of the account, in order that the $1000 shall finally be reduced by this amount. If A. B. has paid his debt, or any part of it, before it is due, an allowance of interest must be made to him for doing so ; and placing the amount which must be allowed him on the credit side of his account, shows, without any additional explanation, that his indebtedness must be reduced by that sum. The interest is placed in the Dr. column instead of being carried at once to the other side, in order that all such allowances (if there should be any more) may be carried over in one sum, and thus save much time and space. But in adding the columns of in- terest, the items that are thus checked are not to be added with those that are not checked, because the checked items are not in their final proper position. Such amounts of interest as are to be transferred from one side to the other are sometimes written on accounts current with red ink ; but the manner of distinguishing them is a matter of mere fancy. The second bill of goods haa a credit of 2 months, and will consequently become due on the Ist of April ; but as it is assumed that the bill is settled on the 1st of July, 3 months' interest must be added to the original bill. This interest, amounting to $12, is placed in the interest column opposite the bill, as in the first instance, but is not checked because it is already in its proper place, and shows that it must be added to the $s(X). The interest being all computed, let us next see what is to be done with the different amounts. It will be plain from an examination of the account as far as this explanation has been carried, that the amount of the two bills (.$1800) must be increased by $12 and decreased by $5. This is done in the account by simply adding the difference between the increase and decrease, $7, to the $1«00, making the balance of the account $1807, precisely the same as in tlie first operation. The balance of interest is also placed on (123) I i- 11 BOOK-KEEPING. the opposite side in the interest coltimn, in order that both eolumns may show the sa«ie footing. The balance of the account is placed on the opposite .ide for the same reason. It will be a -reat help to the student, in all similar eases in deciding to which column of prindp-.ls he must add the balance of interest! to recollect that the side which earns the mo.t interest is entitled to the balance The advantagres which this form of presenting an account has over the first Tnutrj^"" ?^""'°* ' ^"* *^''" '''' °^^ «** m^"i'-^^«t .in this exami,lc as t.u-y would be m a longer one, owing to the large proportion of lines oicupied by the balances The ongmal amounts of the bills are preserved so tlmt they can be seen at a glance, which is a great advantage. But its principal recom mendafon is, that ,t needs no explanation beyond what is exhibited upon the face of It. Any one who will make himself conversant with the form of the account just stated, could take any other account of a similar nature, of any length, and read it intelligently ; while every account stated in the crude form first given would require an explanation for every line and amount Having Illustrated the manner of settling an account according to one of the methods usually adopted, let us next consider the other method, Tyhich is prop er y called " averaging an account ; " that is, determining upon what date tlic balance of an account may be paid without loss by interest to either party : and without in roducmg any other example than the one just noticed, let us refer to tliat as It now stands all completed, and we shall be able to understand the manner of getting the date upon which the balance of an account aver^es due with scarcely any trouble. Is it not plain, as A. B., in this example Ins ly^^IZT'^' Of July more than the original amount of the b"lK^^^ he did not pay as soon as he should have done, and consequently must suffer I7 which ^o. H *"■' '^fV "' ^^"^"'^' "^ ''"'''''''' ^'^^ ^'>''t P"»^-iP«l to earn !i 'n K ^^78 and a fraction J but -,'3 days is the nearest time we can « %i5 r"; ^ ^°""*»°Sr backward 23 days from the 1st of Julv, w- come to the Mh of June, which is the day upon which the $1.^ should Im e been paid .f this IS the nght date, the interest on the an.onnt "» >vi" oc been oy Dr. A. B. in Account tvith C. D, Interest to 1st July, I860. Cr. isao. Feb. 1 " 1 1 Goods 6 mos. Goods 4 mos. • 1000 800 1800 00 00 12 oo» 00 llSfiO. July 1 « 1 Int. on Am't not due Balance of Account Due by av. June 8, 23 ds. Var. of Interest * 1800 00 5 6 00 90 10 1 OOJ ■2 00 1800 «,| 00 a. H fh" r H " !? 1 ™'''^' '"^ *" " -'^"" *'"^^' *^='t time should be used, a. m the form and method recommended on page isi; but, if it is desiredio (124) INTERIvST. know at what time the balance of an account should be p:iid, any date may b« assumed for the purpose of computing ; but it is better lo take either the ear- liest or the latest date given in the example, rather than some intermediate one selected at random, because the amount of labor is thus materially les- sened. Let us take the example already so often referred to (and which seems likely to be the means of proving the assertion heretofore made, that there is no very great variety or difficulty in averaging accounts) for further illustra- tion ; and taking the earUest date, viz., 1st of February, compute interest on each bill from that time until its term of credit expires. $1000 Int. for 6 months, $30.00 800 « 2 " 8.00 $1800 $38.00 Then ascertain how long $1800 will be gaining $38, which will be 4 months 7 days. This time counted forward from the Ist February, gives the 8th June, as before. , , ^.„ ^ ^ ^ Next take the latest date upon which either of the bills becomes due, and compute interest to that date. The Ist of August is the latest date. $1000.00 due 1st August, no interest, 0.00 800.00 due 1st April, interest to Ist August, 16.00 $1800.00 $16.00 Then ascertain how long $1800 will be gaining $16, which is 1 month a3 days. This time counted backward from the Ist of August gives the 8th June as be- Although one example has proved sufficient to illustrate the manner by which airaccounts may be averaged, yet in order to fix the subject thoroughly in the student's mind, he should carefully perform the examples which follow. A. owes B. $1000 due March 10th, and $1000 due September 22d. What is the equated time of payment ? Assume the latest date, and compute interest to that time. ^^^^ interest for 6 months 12 days, $32.00 1000 . $2000 $32.00 As it will take $2000 3 months 6 days to earn $32, that time, counted back from Sept. 22d, would give June IGth, and that is the equated time. Or thus : A. owes $1000 the 10th March, 00.00 A. owes $1000 the 22d Sept., 32.00 $2000 will require 3 months G days to earn $32.00, which time, counted forward from 10th March, gives June IGth, as before. The Dr. side of an account, amounting to $1000, averages due 10th July. The Cr. side of the same account, amounting to $300, averages due 8th No- vember. When is the balance, $700, due ? Ans. May 19th. Suggestion : Compute interest on $1000 from 10th July to 8th November, and then ascertain how long the balance of $700 will be earning that interest, which time, counted backward from 8th November, gives the right date. The Dr. side of an account, amounting to $300, averages due 10th July. The Cr. side of the same account, amounting to $1000, averages due 8th November. When should the balance, $700, be paid ? Ans. 29th December. I buy goods all on the same date, but on various terms of credit ; as follows : — One bill of $ 375.60, on 3 months. One bill of $1000.00, on 6 months. « " 700.00, cash. " " 500.00, on 6 months. " " 1575.75, on 8 months. U* (125) u BOOK-KEEPING. What is the average date of payment, provided the whole amount is settled at one time .' Ans. 5 months 14 days. Suggestion : Compute interest on each bill for the time it has to run ; then see liow long will be required for the total amount of the bills to earn the total amount of interest. PROOF. $ 375.60 interest 2 months 14 days, $ 4.63 1000.00 (( 700.00 (( 600.00 (( 1575.75 i( 10 <( $ 2.67 14 « 19.13 16 (( 1.33 16 (( 19.96 $23.76 $23.96 There is some variation in the amounts of interest, but a day more or a day less in the average time will make more variation ; consequently 5 months 14 days is the average trme, as near as can be found. Sold goods as follows ; all on the same date, but on different terms of credit. What is the average term of credit on all the bills .' 370.90 on 6 months. 1000.00 cash. 8*5.00 on 8 months 500.00 cash. 650.00 on 4 months. Ans. 3 months 15 days. What is the average date of the maturity of all the following bills .' $.320.00 due April 3d, 1860. 430.00 due June 14th, 1800. 0*2.00 due July 20th, 1800. 217.00 due August 30th, 1800. Ans. 25th June, 1860. Sold goods on different dates, and on various terms of credit, as follows : — January 13th, 1860, one bill on 6 months, $ 537.50 January 25th, 1800, one bill on 4 months, 1000.00 March 10th, 1800, one bill on 5 months, 375.75 April 18th, 1800, one bill on 8 months, 600.00 .Tune lOth, 1800, one bill on 4 months, 307.40 On what date does the whole amount of sales average due ? Ans. 15th August, 1860. Suggestion : Assume the latest date upon which either of the bills becomes due, and compute interest on each bill from the time it is due up to that dat€. Then ascertain how long the total amount will be earning the total amount of mtercst, and count that time backward from the assumed date. When does the total amount of the following bills average due ? January 15th, 18(jO, bill of $400, on 2 months' credit ; February .3d, bill of $600, on 2 months' crc!» INTEREST. Dr. A. in Account Current icifh B. to June 15th, 1860. Gb. 1800. Jan. 15 Feb. 3 " 21 Ap. 27 Mdse.2m. ; 4ao|OOi3| I " 2" ' 000 00 2 12 I! AnVts. Ig'd Int. | 1800 « 0" ;| 800,00 « 0" ' 200 00 $, 200U 00 4 1 12 00 20 80* 40* J'nel5 13|20 In.onb'snotduej Balance of Acct. 2000 00 Ara'ts. $ 2000 00 S Q, Int. 13 20 '13 iO When can the balance of the following Ledger account be paid, without loss to either party .' ^»«- ^'^^ ^^°^-' '^'' Dr. Thomas J. Long. Ce. I860. • 1800. Jan. 12 Mdse. 4 mos. 290 24 March 8 Cash 300 00 Mar. 10 » 5 " 476 32 May 28 Mdse. 3 mos. 500 00 1 May 25 " 3 " 312 14 June 13 Cash 450 00 June 9 " 3 " 278 50 Balance 113 20 20 $1303 ^: $1363 Su''"-estion : Assume the latest date upon which either of the bills becomes due, and compute interest on each item to that date. It will be found that the smaller side will earn the most interest up to that time. This clearly shows that the lar^-er side not having had time enough to earn as much mterest as the smaller side, the assumed date is too early. Consequently the time to whioli the balance is entitled must be reckoned foncard from the assumed date. To prove that the 17th November, 1801, is the right date, make out an account current, computing interest to that time, as follows : — Thomas J. Long in Account Current loith James Merchant. j)R, Interest to llfh November, 1801. ' Cr. 1800. I Jan. 12 Mdse. 4 mo. Mar.io] " 5 " May 25! " 3 " June 9' " 3 " Diff. of Int. Int. ; 1860. 20 9l|Mar. SiCash 35 80 May 28j Mdse. 3 mo. 23 05 Junel3i Cash 19 87NOV.17 !04i 105 071 Bal.ofAcct. I Am'ts. I S I Q 300J00 20! 9; 500|00 450 00 113 20 $ 1.363 20 14 20 17 Int. 30 36 38 45 67 55 105,67 N0«. It is advisable in all caseo. after havinp; obtained a date for the pnytneTit of the balance of an aoconnl. thai •ome method of proof shouM l>c adopted in order to puard apainst errors, which are liable to occur, especially with tboae who, from their want of busine?. experience, do not realize the importance of making theit ooaputttioui witJl my more accuracy tluui the usual course of arithmetical study in icbool demamls. (127) r BOOK-KEEPING. INTEREST. I- II 3> Q I S AS_R_h__h 8 g "f CJ Tl< •-> « I g o ao ^. M ® 3»" g* -H -^ « ^ -" « « »-< CM W «i4 05 S o II i s 8 *C M "ti •.»< {s. Oi 4 ^. ^ '^ " 4 _S_S__8_8 3 8 ^ a o 3 o o Id OS 8 ^ s «Q '-'nn-f-^^^^ « a Q O In g S o o $ s 5 2 i O IS. « s 00 CO O O « ^ ec (128) »- s O- 3 ^ f O O « o ■5 o ^^ ^^ T3 +^ to zS —^ ,0 -a j^ IB n u 3 ^ o 3 ♦J w o o CO a 3 I sell goods as I0II0W8, all on the let October, 18G0 : — $200 on 2 months' credit, 300 on 4 " " 400 on " " 100 on 8 " " When does the total amount of the bills average due ? Ans. 25th February, 1861. What is the date of a 5 months' note that should be given in settlement > Ans. 22d September, \HGO. Suggestion : Compute interest on each bill from the 1st October, IbCu, for the time it has to run, then reckon foricard from the 1st Oi tober,the time required for the $1000 to earn the total amount of interest, which will give the average date. As goods are not entitled to days of grace after the bills become due, as notes arc, it is necessary, in giving a note in settlement of an account, to date it so that it will fall due three days sooner than the account averages due, so that the last day of grace shall fall on the same day that the account should have been paid in cash, provided no note had been given. Dr. James D. Carter & Son. Cr. 1860. 1860. Mar. 22 Goods on 6 mos. $327 69 April 2 Cash 50 00 1 «♦ 31 Goods on 6 mos. 35 50 May 11 Cash 150 00 April 2 Goods on 6 mos. 217 G2 June 4 Cash 100^00 " 3 Goods on 6 mos. 50 10 July 16 Cash 60 00 " 7 Goods on G mos. 56 25 « 18 Cash 150 00 •' 24 Goods on 6 mos. 31 25 Oct'r 8 Cash 234 26 May 11 Goods on 6 mos. 74 00 Nov'r 1 Cash 100 00 " 10 Goods on C mos. 164 35 " 23 Goods on 6 moB. 17 00 June 5 Goods on G mos. 189 81 Dec'r 8 Cash 100 00 «' 10 Goods on G mos. 10 25 Balance 227 43 « 19 Groods on 6 mos. 21 87 69 ^ $ 1178 $ 1178 69 When is the balance of the above account payable i Ans. 14th July, 1861. Suggestion : Assume the latest date upon which either of the sums in the account becomes due, and compute interest on each amount from the time its credit expires until that date. Then ascertain how long a time will be re- quired for the balance of the account to earn the balance of interest, which time must be counted forward from the assumed time, to give the right date. (129) BOOK-KEEPING. INTEREST. )l fil i ' i !?> James D. Carter & Son in Account Current with Henry Lane, DR- ' to Hth January, 1801. Cr. 1800. Am'to. sIq Int. 1860. 1 Apr. 2 Cash Am'ts. S a lint Mar.2J Mdse. mos. 327 09 3 23 6 17 1 50^00 9 12 2J.35 « 3: Mdse. 6 mos. 35 50 3 15 62iMayllCash ' 15000 1 8 3 608 Apr. 2 Mdse. Omos. 217 62 3 12 3 70 June 4 Cash loo'oo 7 10 367 " 3 Mdse. Omos. 50 10 3 11 M July 10 Cash 50 00 5 29! 1,49 « 7 Mdse. Omos. 56 25 3 7 9i: " 18 Cash 150'00; 5 27, 4'43 " 24Mdsc.6mo8. 31 252 21 42 Oct. 8 Cash 2.34 2(5 3 6 3^75 May 11 Mdse. Omos. 74:00| 2 3 78 Nov. ICash loo'oo 2 ^3, 1 22 " 10 Mdse. Omos. Iw'.iS; 1 29 1 02 " a3 Goods Omos. 17 00 4 9 37» June 5 Mdse. raos. 189 81 1 9 1 23 Dec. 8 Cash 100 00 1 6 60 " lOMdse. 6moB. 10 25 1 4 06 1861. " 19! Mdse. Omos. 21 87 26 09 Jan. 14 Bal. of Int. 6|78 Int. from Cr. 37 " " Bal. ofAcct. 22065 Bal. of Int. 6 78 ^^ • 1178 69 ,;^ 59 % 1178 69 23 59 The balance due on tlic above account, Hth January, 1801, is shown to be $?20.65. This sum, with interest for months, amounts to $227.27. By the previous operation it was found tliat tlie balance of the account was payable on the Hth July, 1801. Thus it will be seen, that one operation is suffi- cient proof of the correctness of the other. Feb. 12th, 18—, sold two bills of goods, one of $750, on 4 months' credit ; one of $750, on months' credit, and to save the necessity of inquiring into the responsibility of the purchaser, received in payment three notes, as follows : One note dated February 1st, at months, for 500, " " " November 2()th, at 5 montlis, for 3(»0, " " " November 0th, at 4 mouths, for 250, and cash for the balance. How much cash must I receive in order to settle the account at the date of the sales .' Ans. $432.29. See entry in D. B. page (0.) Suggestion : Assume the latest date upon which either of the amounts becomes due, and compute interest on each sum to that date. Increase each side of the account by the amount of interest it has earned, and get the bal- ance. Then ascertain what sum put at interest on the 12th of February, will amount to the balance at the assumed date. The accuracy of the result is proved by the following account current : — M. LovERiNG in Account toith George N. Comer. DR' Interest to \2th August, 18— Or. 1*- Mse. 4 m. Mse. m. Bal.of In.! / Ara'ts. Due. Jel2 Aul2 S q" ! lot ll8- Cash Note 6 m. " 5ra. " 4 m. Am'ts. D«e. Fyl2 Au4 Ap29 Mh9 s 6 3 5 d' 8 14 3 1 Int. Fyl2 "12 Aul2 750 750 00 00 00 7 i 17 50 71 Fyl2 " 1 Nr26 «♦ 6 432 29 500 00 300 00 250 00 1 12 5 97 67 20 37 1 1 $ 1500 • 25 21 $ 1500 00 1 1 ! I 25 21 (130) On the 15th November, 1800, — The Cr. side of an account is $807184.61. The Dr. side of the same account is 382898.33. A f th«t time the balance of interest in favor of the Dr. side was $7495.72. It ^ proposeT^^^^^^ notes in settlement of the balance of the account,- One at 4 months for $150,000 One at 5 months for 100.000 One at 6 months for 174.280.28 When should each of the notes be dated, in order that upon payment of them all, the balance of the account shall be cancelb^d . ^ ^^^^^^^ ^^^^^ ^^^ ^^^^ 5 months' note, Sept. 28th. 6 months' note, Aug. 28th. » «,♦„;« wV.1t fimp is reauired for the balance of the account Suggestion :Asocrta^^^^^^^^ 'tZ' counted forward from Novex^ber to earn the balance ot inteie. i, wiui.u T^rr^t^ttfZ t pits, t:' aL-'aate „ rVtS, «. account li'payat! K't.ty'arroo'T pam'at that ,ta., of course they draw iute«st afterwards. When is the balance of the following account due f Ans. Ist Oct., 1861. Dr. 1800. Jan'y Feb'y 2 Apr. 13 Aug. 29 Ladd & Hudson. Cr. Merchandise do. do. do. Balance 853 827 :«8 057 458 3134 40 30 55 14 08 48 1S;>9. iDec. 22 I 1800. Jan'y 29 3Iay 7 Sept. 30 Merchandise do. do. do. 296 74 346138 $ 1174 1310 3134 46 90 48 The student is requested to perform the above example by the following method, wliich, although it involves no new principle, yet in some cases -is Try coivenicnl because by having an extra column in the I-lgcr accoun for the amounts of interest, the computations can b^niade, and the ammxn^^ placed on the Ledger as fast as the charges arc posted, thus enablmg the book- keeper to have his accounts ready for settlement with comparatively little delay. Another advantage which this method possesses, is the great lacimy with which the time for computing the interest is ascertained. Assume the last day of the month next preceding the earliest .<^«^e in;»^ account, and compute interest on each amount to the day on V;hich i s term of credit terminates, or to its date, if it has no credit. Then find how long the balance of the account will be earning the balance of interest, ^^hich time counted foj-nmrd from tlic assumed time, if the largest side has earned the most interest, and bacJcoard from the assumed time if the smallest side has earned the most interest, will give the date for the payment of the baLmce The reason for assuming the date as recommended above, is to enable us to fix the time more readily for which the interest is to be computed. According (131) BOOK-KEEPING. INTEREST. If day of No'v'^'mU^I^ *^' "''"''"''^ *""' '"^ ^^' "''""'P^" ^^°^ ^'' '^« 1^«* Dr. LADD & HUDSOX. Cr. 1860. Merchandise do. do. do. Balance Balance of Int. Am'ta. : Intereat. ' 1859. Merchandise do. do. do. Am'ts. r Interest. Jan. 6 Feb. 2 Apr. 13 Aug.29 Oct. 1 853 40 82730 a38;56| 657jl4 458 08' 1 3i34|48| 5 8 7 29 60 $101 12 Dec. 22 55 1800. 50 Jan. 29 40 'May 7 Sep. 30 290 340 1174 1316 3134 74 38 46 90 48,' 1 1 1 3 30 65 $101 09 41 73 85 08 08 i^^.''?, " " '- ^r"" ^^"^ ^^'^''-'^J^ °^ November, 1859, to the 22d of December, 18.yj, there are L>2 days, and the interest for that time on the first item entered ou the account is $1.09. The interest on the next item entered, from the same date IS .$;..12, and so on throu-hoiit the whole of the account. The balance of the mterest is found to be $50.45, and as the balance of the account will require 22 months 1 day to earn the balance of interest, we count that time forward from the assumed date, which brin-s us to the Ist October, 1801. the day upon which the balance is to be paid. Prove the 1st October, 1801, to be the right date by making out an account current with Ladd & Hudson up to that time. "ccouni Dr. Ladd & Hudson in Account Current rtith Wm. Joxes. Interest to Ut Octobery 1801. Cr. 1860. Jan. OMerchdae. Feb. 2 do. Ap. 13 do. Au.29 do. Balance Var. of Int. Am'ts. Time. 20|25 853 40 827 30 19 29 338 56 17 18 657 14 13 2 458 08 3134 48 ~" $: Int 88 90 82 59 29 79 Jan 29 42 93 021 244 23^ 1859. D'r22!Merchd8e. 1860. do. 3Iay 7 do. Sep 30 do. Am'ts. Time.' Int. 296 346 1174 1310 $;3134 74 21 1 9 38 20 40 90 48 2 24 I 1: 31 34 98 79 $1244 00 75 65 23 23 (132) ' When is the balance of the following account payabk^^ ^^^^^ ^^^^^ ^,^^^ Cr. Dr. Ricii^VRD D. Howe. 1800. Jan. 19 Feb. 7 Mar. 9 Apr. 24 3ray IG July 5 Au. 24 Oct. 9 Nov.24 Dec. 20 Mdse. 6 m. do. 4 m. do. 3 m. do. 3 m. Cash Mdse. 4 m. do. 3 m. do. 2 ra, Cash Mdse. 2 m Am'ts. 597 389 809 078 379 083 527 698 200 705 5791 03 51 82 70 84 91 35 54 00 93 29 Time.: I Int. 19 71 9j 24! lei 5 241 9! 24' 20 19 10 23 23 8 34 28 39 10 52 $,;250 82 19 05 08 01 77 48 47 80 34 01 1860. Mar. 9 Apr. 2 June " 23 Au. 19 j Sep. 22 Nov.17 Dec. 28 Dec. 31 Am'ts. Cash Mdse. 3 m. Cash Cash Mdse. 2 m. Cash j Mdse. 2 m. Cash j Bal.of Ac. Bal.oflntJ 000,00 470 93 700|00 804174 900i00 :i50|00 793] 50 315 00 Time. Int. 791 $^5791 29 12 o! 23 19 22 17 28 6 14 18 24 43 15 49 18 58 90 47 20 93 35 28 86 80 82 $ '250 01 Su-crestion : Compute interest from the 31st,December, 1859, on eachitem of the a^ccount, to its date, or until its term of credit expires, if it is entitled to credit ; and then ascertain how long the balance of the account will be earning the balance of interest, which time counted fortoard from the 3 Ist December, if the lar*-est side earns the most interest to that time, or backward from the 31st December, if the smallest side earns the most interest to that time, will ffive the right date for the payment of the balance. ^. ^^ ^, , , Instead of making out au account current to the date upon which the balance is payable, as we have previously done to prove the work, we will make it up to the 1st of January, 1801, dating the balance of the account ($791.12) on the day that it should be paid in cash, and treat it the same as we do any other item m the account current. If the interest on each side amounts to the same or nearly the same sum, it is proof that the answer to the preceding example is correct. Dr. Rich'd D. Howe in Ace. with James Ross. Int. to 1st Jaw.,1861. Cr. 1860. Jan. 19 Feb. 7 Mar. 9 Apr.24 May 10 July 5 Au. 24 Oct. 9 Nov.24 Dec. 20 Mdse. 6 m do. 4 m do. do. Cash Mdse do. do. Cash Mdse. 2 m Int. fm. Cr Am'ts. g 3 m. 3 m. 4 m. 3m.| 2m ^ 597 389 869 678 379 Gm 527 098 200 765 63 51 82 /6 84' 91 35 54 00 93 5791 29 13 25 1 lo! 27 8 23 8 19 Int. 16 13 29 17 14 6 3 2 1 e 13 24 31 43 87! 31! 50 341 68 27 a5» 33 1860. Mar. 9 Apr. 2 June 6 « 23 Au. 19 Sep. 22 Nov.17 Dec. 28 1861. Mar.26 I $;jll8 28! Cash Mdse. 3 m Cash Cash Mdse. 2 m. Cash Mdse. 2 m Cash Ba. in Cash Int.fm.Dr. Var. of Int. Am'ts. 600 476 700 864 900 350 793 315 791 12 00 93 00 74 00 00 50 00 5791 29 23 26 9 13 10 16 4 25 $ Int. 29 14 24 27 10 5 30 31 03 24 95 S3 12« 21 21* 26 15 118,28 By making up the above account to the 26th March, instead of the January, the variation of interest will be 11 cents. 12 (133) Ist of n: i\^ BOOK-KEEPING. Middlesex Cotton Mills in Account with Briggs & Co. Interest to lath November, 18—. Dr. Cr. Dr. INTEREST. 18— Cash paid Treasurer Amount*. 1 Amounts. M. 1 D. Inter'st. Inter'st. Oct'r 4 soooo'oo 11 205 ioo « 13 do. do. do. 25000 OOi' I 1 1 2 133 .33 " 18 do. do. do. 10600 00 28 49 00 Nov. 5 do. do. do. 4000 00 10 1 i fi 67 " 10 do. do. do. 10000 00 5 1 ' 8 33 June 30 Sales Cottons Ist Jan. 155896 28 1 17 1221 19 July 31 do. do. 30th Nov. 62638 76 15 ! 156 60' Sept. 29 do. do. 12th Feb. ' 53715 55 2 28 787 a3 Oct'r 31 do. do. Cash i 6000 |00 15 15 00 Nov. 14 do. do. do. 21908 62 1 3 66 » 15 do. do. do. 8i"53 36 t( {( Balance of Interest 2549 29 2549 29 « (( Balance of Account • 1 226923 28 57 i 57 « 2567 95 2567 1 308972 308972 95 The above account current differs in form from those previously given, and m some respects, possesses advanta-es over the others. The student can adopt either form m practice, which best suits his own convenience. Sales of Cotton for Account o/ Messrs. Gray & Son, New Orleans. 18— May 15. Baker & Co., 10 Bales, Nos. 174 to 1^3. 6 months. ")5C174 360 95^176 382 ^178 390 y^^lSO 300 95)1182 420 175 375 177 400 179 385 181 390 183 498 .35 -j- 782 + 775 + 786 + 918=3996 lbs.® 8^0. $: 339 66 18- Charges. May 1 Freight and Drayage • 20 1 00 «' 1 Advertising 6 oo' « 15 Commission, 5^ 16 98' " 15 Guaranty, 2^^ 8 49! 51 47 Net Sales due, by average, 18th December 288 19 N OTE. Accounts of sales are averaged in the same manner as other accounts Commission and guaranty on sales of goods are considered by custom to be due at the date of the sale, whether the goods are sold on credit or not. This fact must be regarded whenever the average date of commission or guaranty 18 to be ascertained. (134) BOOK-KEEPING. Havana. COMPUTATIONS IN EXCHANGE. 18- 1 i^i^'f^ffiip^ii^drysis Jan. ai Sampson & Co. ^ Mar. 1 ' ' May 3 " 15 I,! 1*- Jan. 1 « 10 .« 17 « 21 May 15 J. Uawes&Son Rand & Fuller Kdw. F. Gage N t 300.00 172.3.32 500.00 1004.80 Freight and Duties Wharfage Insurance Advertising 2fith March r"th March Commission 5^ on $3618.12 due, by Guaranty 2i^ on $2613.32 due, by Not Sales due, by average, 25th August I (136> COMPUTATIONS IN EXCHANGE. (See Article Bills of Exchange.) A bill of exchange drawn in Boston upon New Orleans will command a premium whenever there is a scarcity of New Orleans funds iu IJoston, or wlienever the general state of indebtedness is in favor of New Orleans ; and it will be at a discount when bills on New Orleans are so plentiful in Boston as to exceed the demand. This variation in the price of bills, caused chiefly by their scarcity or abundance, is called the Course of Exchange, and is com- puted at so much per cent. If it be at a premium, the purchaser has to pay more for his draft than the face of it ; if at a discount, he pays less than the face of it. There is but one way of computing the cost of a bill or draft for a given sum when it is at a premium, which is to add to the face of the bill as many hundredths of itself as the rate indicates. Thus a bUl for $1500, at a premium of 1 per cent., would cost the purchaser $1515. There are two ways of computing the cost of a bill for a given sum when ex- chan're is at a discount, viz. : to deduct from the face of the bill as many HUNOREOTHS OF ITSELF AS THE RATE INDICATES, which iS the CUStom With bankers and dealers in exchange, when the bill is only for a small sum ; and the other is to divide the face of the bill by loO increased by the KATE PER CENT. OF DISCOUNT, wliicli is tho strictly accurate method. Thus, if I apply to a banker for a bill of exchange to pay a debt which I owe in New York of $500, wlien exchange is at a discount of 2 per cent., he will deduct from the draft 2 per cent, of the face of it, and for $4, and receive a draft for $510 ; but I should m justice receive a draft for $510.20. The dillerence between the true discount and the BANKER'S discount, in this instance, is 20 cents in the banker's favor. I have referred to tlie two modes of computing discount upon drafts, for the purpose of directing the student's especial notice to the distinction between the true and the nominal discount. Tlie results iu the examples wliich fol- low are obtained by computing ac(;ordiug to the most accurate method, as the other plan is adopted only when the sums are so trifling as to preclude the necessity of being exact. What is the value of a draft on Springfield for $1750, at a premium of ^ of 1 per cent. ? ^"*- $l'54..iri. Bou^'ht a bill on Philadelphia for $3000 at l4 per cent, discount. ^^ hat did I pay for it.' A7is. $2^Joo.67. 12* (137) BOOK-KEEPING. COMPUTATIONS IN EXCHANGE. h Ik * m 1 I wish to pay a debt duo in N.nv York of Sjooo. What will a bill coBt me cent ' *™*'""*' Pfo^'flt^d exchange ou New York is at a discount of 2 per T ,"■ „ . . ,, Ans. S 1900.78. ill^^^^^^yposHcsBion the net proceeds of a sale of cotton amountin- to fl.fi.>, which my correspondent desires me to remit to him in New Orleans • exchange on New Orleans is at a discount of 2^ per cent., and I invest the rr ' u 1 , , , , ^"*- $3801.54. How murh should I have to pay for a draft for $3705, exchange beinjr at a preramra of l4 per cent. ? ^ „^ "^.y^,^ jT,!" * 1 srli a (K) days' bill on Cincinnati for $.1750.08, at a discount of 3 per wnt anl mtcrest off. What does the draft produce me at that rate? An^ $300** OT A St. Louis merchant wishes to pay a debt of $575 due in Boston, and ex- change on Boston is at 4f per cent, premium in St. Louis. What would a dralt for tliat amount cost the merchant, at the above rate? Ans $(J0'' 31 Owing a debt of $37^.5 due in New Orleans, I purchase a draft and remit'to my creditor, when exchange is at a discount of 24 per cent. How much do I have to pay for the draft ? ^ ^,^ ^^.^^^^ Note. Suppose my creditor in New Orleans should decide to draw a draft on me payable to some tliird party ; his draft would bo for $3705, and I should have to pay that sum, notwithstanding exchange is at a discount. And if I desire to avail myself of the advantage which the discount offers me, I must purchase a draft and remit to him, and not wait for him to draw upon me. J.}^'''' i° "^^ POSHOssion the net proceeds of a sale of cotton amountin'o- to $3j>o, and my correspondent desires me to invest the amount in a draft'and remit to him. For how much will the draft be drawn, exchange bein' at °i per cent, premium ? ^^^^ ^hil^ STERLING EXCHANGE. Exchange on Great Britain or Ireland is usually quoted thus- «10S" " lOH," " 110," .tc., which means that 108, 10«4, or 110 poumls of tlie nom/zmZ par iulue of $4.41f to tiie pound are requireJ to pay for 100 pounds of the present commercial value. If, as is very rarely the case, exchange should be quoted at " 9S," it would signify that 98 pounds of the nominal par value of $4.44f would purchase 100 pounds of the commercial value. The commercial value of a pound is what it costs to buy a pound, whether $5 or $4. The real par value of a ix)und, which is the unit of value in Great Britain, and which IS often called a sovereign, is the exact value of that coin expressed in our own exirrency, and which is usually sot down at $4.&1, and it is taken at that value by the Lnited States government in payment of customs Exchange on France is usually quoted thus : 5.10, 5.114, 513, &c whiVh means 5 francs 10 centimes, or 5 francs llf centimes to thf dollar As bills of exchange on any part of Europe are usually drawn through London or Pans, we seldom find quotations of exchange except on England or France When they are given, however, they express the number of cents which ire required to purchase a unit of the foreign currency ; for example, if exchan-e on Holland is quoted at 42, it signifies that the exchange value of a florinls 42 cents, which would be a premium of 5 per cent., the real value of a florin being 40 cents. To determine the value of a given amount in any forei^ cur- rency, except sterling, in dollars and cents, we must get the number of units Of the foreign currency which are equivalent to a dollar, and then divide the (138) given amount by that number of units ; for example, to determine how many dollars there are in 3000 francs 50 centimes, allowing 5 francs 10 centimes to the dollar, we divide .3000 francs 50 centimes by the number of francs and cenlimes in our own unit of value ; thus, 3000.50 -^ 5.10 = 5.s8.33i. If we wish to ascertain how many dollars there are in 6000 florins, divide 0000 by the number of florins in a dollar, and we get the value in federal money ; thus, COOO -^ 24 = 2400 ; or multiply by 40 and divide by 100, which would produce the same result. Note. Quotations of sterling exchange are always understood to be for 00 day bills, unless otherwise specified. Sight bills command a higher price thail bills on time. Rule for chaxging Sterling to Federal Currency. Multiply the number of pounds and decimal of a pound by 40, and divide by 9. Add as many hundredths of this sum to itself as the rate of exchange may express. Reason of the rule : The original value of the pound sterling, upon the establishment of the federal currency, was $4.44|^, which was termed the par of exchange on England. This practice began when the Spanish pillar dollars were in circulation, and when the market value of gold, compared with silver, was less than at present. Tiie Spanish pillar dollar contained pure silver, which was worth 4 s. Od. sterling, so that, a dollar having Q sixpences in it, and a pound, or 20 shillings, having 40 sixpences, it was a very easy matter to compute. If it was wanted to turn pounds into dollars, the poiinds were multiplied by 40 and divided by 9, and vice versa. Afterwards the value of the dollar was reduced — that is, more alloy was put into it — to 4 s. 2d., that is, 50 pence to the dollar, making each penny sterling worth 2 cents, whicK gives $4.80 to the pound of 20 shillings, or 240 pence. But latterly the dollar has been reduced to 4 s. 1 d. nearly, which makes the pound Avorth nearly $4.87, or 109it per cent., that is, 9^ per cent, above the nominal par of $4.44.44 ^ " 9^ percent^ 42^ 4.80.G6 English coins of the reigns of George IV. and William IV. are, however, generally below the legal standard : these average about $4.84, as near as can be, which is, in the language of the sterling exchange market, 109 per cent. Nominal par, $4.44.44 9 per cent, added, 39 99 $4.84.43 But as the rate of premium is not always 9 per cent., but is constantly vary- ing in commerce, being sometimes more and sometimes less, we must add as many hundredths of the nominal par value to itself as the rate of premium may express. Example : I receive a sterling bill of exchange for £825 3 s. 1 d. What is its value in dollars and cents, exchange being at 8 per cent, premium .' 12 20 £ 1. 3.083 825.1541 £825.1541 40 9 ) 33000. ItHO 3607.3515 8 per cent, premium. (139) 293.388120 3007.35 $3960.74 Ans. f : ^ij BOOK-KEEPING. The following is the host rule f.)r changing federal ctirrMicy to storlinr?'. Multiply the number oi" dollars by 'J, and divide by 4''. Th.'u suy, As iOI with the rate of exchnnge added is to 100, so is the number of pounds obtained by the first operation to the number of pounds desired. I wish to invest Sir'nJ.NO in a sterling bill of exchange. For how many pounds must the bill be di-awu, exchange being at a premium of 8 per cent. ? ILLUSTRATION. 3760.80 9 40 ) 3.3«7.L'0 £840.18 at $i.4-l| each. 108 : 100 : : 846.18 100 106 ) 8 4618.00 £783.50 20 8. 10.00 Ans. £783.10. I receive an invoice of goods from Liverpool, amounthag to £783.10. How much in federal money will pay the amount of the invoicg, exchange being 8 per cent, premium .' Ans. $3760.80. ILLUSTUATIOX. 20 10 783.5 40 3482.22 8 per cent, premium. 9)31340.0 $3482.22 at $4.44^ to the pound. 278.5776 3482.22 $3760.79.76 This example being the opposite of the one just given, it will be Peen that one proves the other. What is the equivalent In sterling of $375, exchange being at a prominm of 10 per cent.? ^^ £76.14.1. What sum m federal money must T pay for a bill on London of £70.14.1, exchange being 1^- per cent, premium, and the broker's commission for neo-o- tiating the bill being ^ of 1 per cent. ? Ans. $.375.0o! Change $17357. 10 to sterling currency, allowing a discount of 2 per cent, on the nominal par value of a pound. ^ns. £3980.10.0. Suggestion : Get the number of pounds at par, first-, then say, As 98 is to 100, so is the number of pounds at par to the number desired. What is the value in federal money of a sterling bill for £3980.10.0, when exchange is at 98 > ^ ns. $17337.40. John Stone .V Son purchase of Flint, Edwards h Co., a sterling bill at 00 days, on Rae, Wilbur h Hart of London, for £.39;"iO,10.0. They remit this bill to James Adler in Tendon, where it is accepted by R. W. & H., and falls due on the ^Oth Nov., at which time it is protested, causing an expense of £2.19.0. R. W. & H. having failed, Flint, Edwards & Co.'s agent in Londcm pays James Adler on tlie said 20tli Nov., £2000 on account. IIow much must Hint, Edwards * Co. pay to John Stone & Co., on the 24th Dec., to cover the amount still due in London, allowing interest at the rate of 10 per cent, from Nov. 20th to the maturity of a i| * t-, - <• •! U \ BOOK-KEEPING. ILLUSTRATIOX. £ 1 at Ol per cent, is . iO '♦ " « «4 „ $ 4.86 100 *« «' u u „ 48.0r. 1000 « »« .< u u 4K').07 Jei53x 10 8.1 4-87-8= $r4n..30 5 8. 1 2.44 2 8. Od. 1 1.22 the -luo" A^h^^^^^^^^^ to f. 0350.I0. What is "'<-UL> , allouiug- 51 francs to tl.e dollar > Wha. .u. , p.., ,„, , ,„,. „,,,^ „^^,^^_ ^^ ^ ^_^^___^ ^^^ ^^^ ^^^^ ^ Sugrg-cstion : Increase the value of -i finrin , i u • "'''•"• S'^-W. Multiply the number of florins hvti;.,' ''?"^ '^ ^^ '^^^''^^ '•>' 5 per cent Will be the value in fkoral monoy "^ ''''' ^""°^' '"^ ^•^^*^' ^^^^ the r^^uU istirrsrh:::;;;-;:-^-. 15 pounds and the silver ruble is^a u^'af 75 ce^ts ' ""'" "' ' '''''' ••"'"^- '^' Su-resti.,n : Ascertain the number nf ^V ?^ ^»*- 3!:u.3(.. whole numlK^r of pounds by is^H thl ^r^;^' V^"" "^ ^«^^«- I>ivi'lo the rnblos whi.-h the Tmp will cosi 'Jhen .h? T" ^"^^ '^' """^b^"'" o^ silver The examples already o,ven ,re intended t "V''' T'"' "" ^^''^''^l ">"n-v. exchano^e where the c,,rrencies of ^1 "t - 1" T "'' "'""'*^'- ^^ eon.putino- a« iHustrations of what is termed Di ect7vl?'"''' T ^«--"<^^d. ^"^ «orve observed, bills of exchauj^e are usually .^^^^"f-, ''"*' ''« ''"^ ^^^n a'-.uly London or Paris, which is often ad -"ft C«", to N'^'f '"""^''^'^ ''^'^'^Sh inuch as by this indirect course, he ean pnv "Iht nl '"''"' ""^ ^ ^"'' "»^«- than by drawinjr « bill directlv .... .V*i / * °^ '* °'''^" amount for less The rollowin.rexamDrs rl i^ t^^ place where the debt is due ' are usually term::;^S:?'^::;i:r ' ''^ ^^^""^'^^^ -^^^ ^^--^^^^ ^-^^^^^^I'l^Tl^'S^^^ London. Ster- «jf 4 ' £y llf. " ''9" To compute for the amount to be paid for a draft direct upon London, the statement by the chain rule would be as follows : — £l(titO $iO $UX5 ^,_ - ^ =$4711.11. £'J $100 Having to remit £414.158. to Liverpool, T wish to know which is the most profitable, to buy a set of exchange on Liverpool at lOl per cent. i)remium, or send it by way of France ; exchange on the latter place being l S',M9 :Z^ = $10082.93 m.b. 8 :iuof. m. b. 41 £y $,'uo The proceeds of a pale of goods, consifjncd to me from liromen, is $',>rC4.r.7, on which 1 am to charg-e a commission of 10 fior cent., and remit the balance to my consijrnor in such a way as 8ha*ll be most aUvaiitaj,a'0U8 to him. Ex- cliange on Taris can bo had at O,' cents per 5 francs, and in Paris exchange on Bremen is 17 francs to 4 thalers. Exchange on Liverpool can be had at^U per cent, premium, and in Livt-rpool exchange on IJremen is r> thalers to tJ>e pound sterling. Direct exchange is N>-^ cents per thaler. Which course will be the best, allowing ^ per cent, brokerage to corrcsiMJudents both in Liver- pool and Paris f ^j^^^ jjy ^^^y ^j- p^jg ^OTE. A Bremen thaler has 72 grootcs. ILLUSTUATIOX. Amount of sales, $270^4.07 Commission 10 per cent., 270.47 $2488.20 Direct. $2488.20 400 =3100 thalers, 40 grootcs. Via Liverpool. via Paris. 24.^8.20 9 100 100 (i 2488^05.00 KJO 4 „ ^ = 30G0tha. 28groo. ^— =310Gtha. 40 109 10(.4 1 Ans. 3ri ftHJt. TO ASCERTAIN THE CUBIC CONTENTS OF BOXES, BALES, CRATES, &c. "What are the contents in cubie fief of a bale measuring 4 feet inches in length, 3 feet 4 iuc'ies in width, anl 2 feet inches in depth .' Ans. Sift ILLUSTRATION. 3 5 -9- -W 5 75 „ , ^ ^ The 4 feet inches are expressed as § of a foot, the 3 feet 4 inches are ex- pressed as ^- of a foot, and the 2 f>\'t "ii inches are expressed as ^ of a fo(!t. The terms are then cancelled as far as possible, and what numbers remain above the line are multiplied together for a flividend, and the numbon re- maining below the line are midtinliel together for a '?f'''?.'*^ ^ ''^°' ^^ *^^ ""^"^'•^'^ <^*^"t«^ts in bushels, being given, to find its third dimension. " fhe^niS^V^'tf 'T ^"'"^^'- °^ »^"«h^l« by 2150.4, and divide this product by the product ofthe two given dimensions in inches. tI? ^;^'^'^''^ ^i!^\^ VV^HEN IT IS HEAPED UP IN THE MIDDLE OF A FLOOR. Take the perpendicular height and the slant side of the heap in inches and multiply the difference of the squares of each measure by the perpendicular height, and divide the product by 2053 ; this will give the number of bushels very nearly. r/Vi ^l ^'^^^""^ "P ^^"^"^^^ ^ partition, take one half of the above result If It be heaped up in a right-angled corner, take one quarter of the above * " B LI I IJ • Example : How many bushels in a heap of grain lying in the middle of a 3 inches ? ^''''P^'"^'^"^^'' ^^'^^* ^^""S 4 feet inches, and the slant side 7 feet ILLUSTRATION. 87 In. X 87 in. = 7509 square of slant side. 54 in. X 54 in. = 2910 square of height. 4053 difference. ^4 height in inches, multiply. 251202 -;- 2053 = 122 bushels. TABLES OF CUBIC MEASURES. « Measurements of cubic contents are usually made in feet or in inches, and or llln"! r^i" '' '''^°*'^ '° ^y ^'^'"' "'^^'"'■*'' '"^^^ ^' y^^^'^ P^'-^h^S' bushels, urement necessary reduction is made from the result of the first meas! «fl' ^T, ^i"^ ^rT"". ""^ ''^'''«*^^'°S- tbe labor of such reductions, I have con- u"Z Jn """^"^ *''^''' ''''''''' ™^"^ "•'"' ^-^^°"* d«»bt, find very u- ui as tliey give m a convenient form the relations which several of our units of measure bear to others. 13 (146) 1 B0OK-K££PLNG. site the word ' Yard,' wi 1 bo fouid the "i^-^ho . ' .""^'' *^"'' ^^^ ^PP"" about four and three qTiartera If thn n. T^'"'' °/ ^^''^^ ^" " ^^'^' ^v'uch is wanted, then the ^^d" t: il ' wi ^be Suml^at STo^"'?/^ '^ '"^'^^^ '' side ; under one, and opposite the other! ^^iTlL bund the TJ.Z""' ' '' '^' which is about one foot and a quarter 0«>osTt.A K?.i ? , ^'' ^*^1"i'"'^d, you (Ind that a foot is about eiX J^nths o?Xs^^^^ ""'' ""'^^''' ' *^"«*'' holdin, grain to xneasure .. fe^T^Z ^^^ o'e^rdeTtL?"^ ''' 12X8X5 = 480 feet multiply by .g and the result 384.0 Is the number of bushels, very nearly. The work Pnn ho «,«.« . , , by using the full decimal given in the table. ^°'' accurately dow It will also be seen by the table, that there are 216 128 27 243 feet in a square, cord, yard. " " perch. 2150.42 inches in a bushel. 1728 inches in a foot. 537.6 " " peck. 268.S « » gallon. ^'•'■^ " " quart. &c., «Scc. TABLE No. 1. Sq. Cd. Yd. Pch. Bu. Jt. leek Gall. Qt. Inch I 1 1.6875 8. 8.7273 173.576 216. .5926 1 4.7408 5.1718 102.8G-' 128. .125 .210'J.') 1 1.0909 .11458 .19.3.35 ,91064 1 .005761 ,009722 .0046.30 .007813 .046089J .037037 : 1.697! 10.8885 694..306| 41 1.448 1388.61 j 822.8961 •5554.45 '329 1. 58 1 37.3248.221187.1 I 27. 24.75. 80.7882| 79.5540 173.577 1 159. 108 694..30' P"' ""• <'"=y >"" '«/ 3 feet eaeh wayV^wr^;',,^,';: ^ "'^ '" »— " » -^faco measurio,^ contain one pereh „r 'S ;,^Wc f«t tL ™" ' f ','"' """ """ '''"" Ws" «"' ^^uHn, >^..;t^ea^';;^rr„!;J^r£^-;St-2^--^^^^^ l-niS'st"ef,f .''I'L''! ^'r"''''" """"=' "<■ '-"?■»""■ -"lA '■ used in the (146; MEASURES. « The ^raZ/on here given is the standard for dry measure, and contains 268 8 cubic inches. The standard gallon of liquid measure contains 231 cubic inches The old ale gallon contains 282 cubic inches. The imperial (English) ^allon contams 277.274 cubic inches. A gallon (231 inches) of distilled water wei-hs 8..3:i89 pounds Avoirdupois. Tlie standard Avoirdupois pouud is equaf in weight to 27.7015 cubic inches of distilled water. A cubic foot of water weict. tenaeiea 47^ 00 '^ Q/Z^tcdandMB ^t ^/fi. 3675 00 4453 00 /^ <^r /an. 26eA <^ot ^a 50 'f // y/%e // 9.3f 400 ^t. ^. e^en<,, ^.q4^. ^:, (9^n, (^ac^^^^OO, ^^00, ^^00, ^iOO @ .75 (152) 300 B5 50 75 7^7 50 - t APPENDIX. Bills Receivable. The unpaid notes, bills, &c., claimable by an individual or firm. Board of Trade. A committee of merchants, or influential manufacturers and traders, appointed in a port or inland town, to take cognizance of mat- ters afl-ecting the general or special interests of trade, to memorialize the government, to difl'use useful information, &c. [til the duty is paid Bonded Goods. Imported goods deposited in a government wareliousc un- BooK Di- iJT. A charge for goods supplied, or work and labor done, entered in tlie books of a tradesnuin or professional man. Botto:mu V Bond. A mortgage or pledge of a ship as security for the repay- ment of money advanced to tlie master or owner, for the purpose of ena- bling him to prosecute his voyage. If the ship be lost the lender loses the whole of his money ; but if the ship arrives safely, he is to receive the mon- ey lent, with the interest or premium stipulated, although it may exceed the legal rate of interest. The tackle of the ship is also answerable for the debt, as well as the person of the borrower. When a loan is made upon the goods shipped, the borrower is said to take up money at responiUntia, as he is bound personally to answer the contract. Bourse, a name given in France, and some other parts of the continent of Europe, to the money market, or stock exchange, where the merchants and agents de change meet for monetary transactions. Brokerage. The percentage, commission, or consideration paid to a person termed a hrol:er, for buying or selling, and for making advances, &c. Broker's Note. A voucher delivered by a broker to his principal, giving particulars of the sale or purchase, price, &c. Bulk. Dimensions ; the cargo of a ship when stowed. Bull. A stock-exchange term for a jobber or dealer who has an interest in the rise of the market. Bullion. Uncoined gold or silver in the mass. Cambist, a banker ; one well versed in exchanges and foreign moneys ; a trafficker in bills. Also applied to a book descriptive of moneys, wei<^hts and measures, of diflerent countries. The best known work on this subject is " Tate's Cambist." •• Capital. The net amount of property belonging to a merchant after deduct- ing the debts that he is owing. This term is more strictly applied, either to the sum of money which he has embarked in his business at first, or the available sum he may afterwards have at command for carryino- it on Cash Book. (See pages 1G2, 163.) " Cast. To cant, or cast tip, means to add together. Change. To barter ; to give one kind of money for another ; also an abbre- viated mode of designating an exchange, or place where merchants and men of business assemble. Check, a Avritten order for payment to bearer (sometimes it is made paya- ble to " order," in which case the party in whose favor it is drawn must in- dorse it) of a specified sum of money on some bank or individual, bv a depositor or person having the necessary funds or credit. — To check a book or account, is to examine it and prove it correct, or make it so. Check Book. A printed book of blank forms, for writing orders or drafts on a banker, for money lodged to his credit by the drawer. Clearance, a document from a custom-house officer, or other qualified per- son, permitting a ship to depart on her voyage. Clearing House. An establishment for the convenience of certain bank- ers, where drafts, checks, bills, and accounts on each other are mutually (153) *l BOOK-KEEPING. exchanged without the individual presentation of each at the banks, and a balauce struck and agreed upon is settled in a few minutes with an incredi- bly small amount of specie. Coin. Pieces of metal, most commonly gold, silver, or copper, stamped by authority, and in many countries made a legal tender for their respective values, when not exceeding certain specified amounts. CoMMis.siox. A charge given or undertaken ; a percentage allowed to agents or iactors by their employers upou business transactions. Company. A partnership in trade. Composition. The commercial name for an arrangement or legal compro- mise with creditors, made by a debtor who is unable to pay his liabilities in full, a portion of the debt being taken in lieu of the full demand. Consign. To send goods to an agent or factor for sale. Consignee. Aperson who receives goods in trust, ortodisposeof for another. CoNsous. The leading English funded government security ; a fund formed by the consolidation of different annuities, and on which 3 pier cent, interest is now paid. It forms the largest jwrtion of the public funds, and in it are absorbed from time to time other public securities. It is that stock in which are most speculation and jobbing among the dealers ; hence tlfe price at wliich it stands generally regulates the rise and fall of other public securities. Consul. The commercial representative of a state in a foreign country, whose duty is to protect trade and superintend commercial transactions of shippers, merchants, and others. CORPOR.VTION. A body politic, or incorporated association, with a capital formed of shares or contributions to carry on any undertaking requiring large funds, such as banking, insurance, railways, manufacturing, &c. The book-keeping of a corporation, when thoroughly understood, is quite as simple as that of an individual or firjn ; the only difference being that, from the more extended operations, there may be more detail. For example, we will suppose that five persons, A, B, C, D, and E, desire to form a corpora- tion for manufacturing purposes, the capital stock to be $100,000, consisting of one thousand shares, of $100 each. A subscribes for ."iOO shares, or $30,000 ; B, 250 shares ; C, 250 shares ; D, 100 shares ; E, 100 shares. This subscription list is entered in the Day Book, the effect of which in posting is to debit each of the subscribers with the amount of his subscription, and to credit capital stock with the whole amount. The company, having obtained their charter, proceed to business by making a call of twenty-five per cent, per share. As these instalments are received, cash is debited, and each of the partners from whom it was received are credited. Tlie business now goes on the same as any private undertaking would — the buying of machinery and raw material, the paying of operatives, and the selling of the article produced. Eventually the whole amount of the capital stock is paid in ; then tlie stockholders' accounts are ruled off and the money value given up, it being represented by the cash received and the account of capital stock ; the number of shares only is brought down, thus : — Dr. A. Cr. 300 Shares $30,000 00 00 Cash Ist Instalment Do. 2d " Do. 3d " • Shares $7500 7500 15,000 00 00 00 (IM) $.'«),000 $30,000 00 No. of Share*. No. of Sharet. 300 '" ., .1 APPENDIX. That is, he owns 300 shares in the capital stock of this company, whether they are worth more or less than the par value. When the accounts have arrived at this stage, it is usual to transfer them to a " Stock Ledger," in which no other accounts are introduced. ^ If A should sell fifty of his shares to G, the transfer would have to be made through the clerk or other proper officer of the corporation, who makes the record only ; he need not know any thmg about the amount of consideration paid by G. The effect of this is to debit A fifty shares, (leaving him 250,) and to credit G, with whom an account is now opened, with fifty shares ; and so the business goes on, the profit or dividend being apportioned pro rata among all the holders of the stock at the time of declaring the dividend. Coupon. An order or warrant for the payment of periodical di\'idends on railway or other public stocks, bonds, or debentures. Credit. To give credit, or to sell on credit, is to sell goods on trust; that is, without requiring the person buying to pay for them at the time. In book-keeping, to credit a person is to enter his name on your books, giving him credit for the goods or .cash received from him. Creditor. A person to whom another is in debt for money or goods. When you receive goods from a person without paying for them at the time, he is said to be your " creditor" for the amount. Currency. Taper money and coin, established as, and passing for, the cir- culating medium of a country. The following is a statement of the ordina- ry currencies of the chief countries : United States, Spain, Mexico, Chili, Peru, Brazil, dollars of one lumdred cents ; Great Britain, sovereigns or pounds of twenty sliillings ; France, Belgium, and Switzerland, francs of one hundred centimes ; Prussia, thalers of thirty silver groschen, (one groschen equal to twelve pfennings ;) Austria, florins of sixty kreutzers ; Kussia, roubles of one hundred kopecs ; Hamburg, marks-current of six- teen shillings ; East India Company's territories, rupees of sixteen annas j in the Canadian currency, £1 sterling is equal to £1 4b. 6d. Customs. The duties or taxes imposed upon goods entering or going out of the country. DAY'S OF Grace. The period allowed by law, or custom, beyond the fixed day of payment, to meet an acceptance or note. Days of grace vary in almost all mercantile to^vns and countries ; but the tendency of modern legislation is to abolish them altogether, — and with great propriety. Is it not an absurdity for a rational man to give, and another rational man re- ceive, a written document representing that in sixty or any number of days, months, or at sight, the promisor will pay a given sum, when neither of the parties ever intended any thing of the kind .' If there must be three days more time, why not state it so at once. In the twenty years' experi- ence I have had as a teacher of book-keeping, there has been no one thing which has required such continued iteration, to establish it in the minds of students, as this matter of days of grace. In the United States and Great Britain there are three days. In France, and wherever the French code has been introduced, there are no days of grace. Debenture. The certificate given at the custom house to the exporter of goods, entitling him to receive payment of the drawback allowed on goods (previously imported) being exported ; a certificate of mortgage or loan on railway or other public works. Debit. To debit a person, in book-keeping, is to enter his name in your books, charging him for the goods or cash he has received from you. (15.5) I BOOK-KEEPING. APPENDIX. Debtor. A persou who is in debt to another for money or goods. When a person receives goods from you without paying for them at the time, he is said to be your '• debtor " for tlic amouut. Del Ckedeue. Au Italian commercial term, implying a guarantee for the solvency of a purcliaser. Discount. See AitATE>tENT. Also Commercial Computations, page 117. Dividend. When a person becomes unable to pay his debts, and makes a composition with his creditors, he may agree to pay them seventy-five cents on the dollar, in three equal instalments, at intervals of two or three mouths. Each of these payments is termed a " dividend." This term is also applied to the profits divided among the proprietors of railway and other companies. Draft. A check or order for money on a banker or other person, on demand or at a specified time, and is usually negotiable by indorsement the same as a promissory note. — See form at the beginning of tliis book. Due Bill, or Loan Note. An acknowledgment of indebtedness, and a jiromise to pay to the particular party named. It is not, therefore, negotia- ble. — See form at the beginning of this book. Dutch Auction. In common auction, the highest bidder by competition is the purchaser ; but according to the process of sale called Dutch auction, the article is put up at a certain nominal price, which is gradually lowered ; and the first who speaks and offers the sum mentioned by the auctioneer is at once proclaimed the purchaser. Entry. The record made in a merchant's book of any business transaction ; the lodgment of a ship's papers in the custom house on arrival, when per- mission to land cargo is obtained. Exchange. The balance of money of different countries, each of which has a certain regulated par of excliaiige j a place of public resort, in commer- cial cities, where merchants meet to transact business ; the bartering of one commodity for another. — See Commercial Computations. Executor. A person appointed by the testator to administer to his estate, to carry into force the appropriations of his will and testament, after his decease. Exports. Goods, wares, or manufactures transmitted abroad. Failure. A commercial term for the suspension of payment. Firm. A copartnership ; a house of business ; the abbreviated title under which a trade is conducted, or a body of partners is known. Folio. A word frequently used instead of page in mercantile books. Forwarding House. Forwarding merchants. Parties who attend to the receipt and transmission of meroliandlse and produce, by railways and ca- nals, from the interior to the coast, or to market towns, and vice versa. Gross. In merchandise the whole weight of goods, including box, package, baling, &c. ; the number of twelve dozen, wliich is the small gross ; the great gross is twelve times twelve dozen. Guaranty, Guarantee. An engagement to perform some act, or pay some debt, in case another person primarily liable fails to do so. Importer. One who receives goods, produce, manufactures, or merchan- dise from abroad. Indorser. One who writes his name on the back of a promissory note, or bill of exchange, and thus makes himself responsible for its payment. (156) Indorsements are either general, special, or restrictive. A general in- dorsement, or, as it is termed, an " indorsement in blank," is merely writing tiie name without any other words. A special indorsement is making it over to some special person, as, *' Pay to tlie order of the casliier of tho Bank of Commerce," with the name. Then the cashier would have to in- dorse the paper, and he could either do it in blank by merely writing his name, or specially by making it payable to the order of some one else, or to some individual only ; in which latter case it would be a restrictive in- dorsement, restraining the negotiability or transferability of the paper. It has become a common custom with some merchants to have their notes made payable to the purchaser's own order, who has therefore both to sign and indorse the paper ; the object of this being to enable the merchant to dispose of the paper without having to put his own name upon it. Where an indorser does not wish to be held responsible, he writes before his name the words " without recourse to me ; " but the very fact of such an indorse- ment is calculated to throw doubt upon the paper, and to avoid this, the note is made payable to the signer's own order. Insolvent. Incompetent to pay all just demands ; in pecuniary difUculties. Insurance. A contract by which certain persons or insurance offices engage to make good to the party insuring, any loss he may sustain of ships or their cargoes at sea, or of houses or goods by fire. The parties who take upon themselves the risk are called the insurers, or underwriters ; the per- son protected is called the insured ; the sum paid to the insurers is called the liremium ; and the paper on which the contract is written is called the policy of insurance. The books of a stock insurance company are kept upon the same general principles as those of any other corporation. The books of a mutual insurance company — that is, an association wliere the members mutually insure each other, sharing the risk and the profit among themselves — require to be kept with great nicety of discrimination, in order to do exact justice to all the members. In my capacity of account- ant I have frequently been called upon to examine, advise, and in some iu- Btanccs wind up, the affairs of mutual insurance companies ; and the result of my investigations confirms the belief that the mode of doing business in the large majority of cases is any thing but mutual. I am satisfied that there are not a dozen mutual insurance companies in New Engljxnd whose books would bear critical examination for either accuracy or equity. The "State," and the " Mechanics' Mutual" offices of Boston, and a few others, are honorable exceptions. Where cash and deposit notes are taken, they are each debited, and an account opened with the "month" in which they were received, which is credited for the amount ; so that a new account would have to be opened for every month, beginning with the first and continuing as long as the oflSce continues to issue policies and receive premiums. As mutual offices insure for terms of from one to seven years, it follows that after the first seven years the account of one month is every month thereafter falling out and being balanced up. The expenses of the office are periodically charged off to each of the months having a credit pro rata to the amount of such credit. Any losses which may occur are also charged off to the months in the same way. For example, suppose that in the month of January, 1853, there was received in cash and deposit notes $1000, which was credited to the account of "January, 1853;" that from time to time there has been charged to that month for expenses, losses, pol- icies expired and cancelled, in the whole, $487 ; it will be seen that in the 14 (157) I BOOK-KEEPING. month of January, 1860, all the policies will have expired, and that there Is a dividend of $513 to be apportioned ;>ro rata among, and returned to, those members having policies (gniuted in January, 185:}) at the end of December, 1859. One great advantage by this plan is, that whenever a member wishes to surrender his policy, its exact value can be ascertained at once. The whole of the policies issued in any one month being at all times during their ex- istence worth exactly the same per cent, of their amount. Interest. A right or share in a business or undertaking ; use of money.— See Commercial Computations. Invoice. A bill of parcels containing particulars of quality, quantity, and price of goods remitted to an agent or factor for sale, or on approval. EXAMPLE. Invoice of 21 Cases Merchandise, marked and numbered as per margin, shipped on board the Caledonia, Capt. Lott, by Ja>ies Chadwick, Manchester, on account and risk of George N. Comer, Boston. J GNC C ♦ 39S59 250 pieces Long Cloth @ 11/ 220 " 72 Shirtings 13/ 300 " f Cambrics 7/ 900 " I^Jacconets 9/6 rhnrjrps. Entry and Dues 2/, Bill Lading 1/6 Carriage, Porterage, Cartage, &c. Insurance on £850 @ 21/6 Policy Forwarding .'^2/0, Portage 3/6 Commission To be paid in Boston at $4.84 per £. E. and 0. E. Manchester, 4th Feb., 18—. £ 137 143 105 427 10 9 1 1 B. 10 10 3 2 2 5 16 1 d.| £ 6 9 6 1 £ 813 22 835 11 11 3 3 Invoice Book. The book in whicli are copied the originals of bills and in- voices of merchandise purchased or received. — See form, page 118. Lease. To let for a term upon rental. Legal Tender. Tlie authorized coins or payment that can be lawfully offered and received in a country. A legal tender must be for the exaci amount in cash ; tendering a larger sum, with a request for change back, is not a legal tender. Tn Franco, silver is the legal tender. In the United States, gold and silver ; but a person cannot be compelled to receive more than five dollars in value of either half or quarter dollars, or ten or five cent pieces, nor more than thirty cents of three cent pieces, or twenty-five cents in coppers. Lessee. One to whom a lease is given. Letter of Atforney. A power or legal authority to act for another, and to proceed with his affairs. The power may be special for a particular pur- pose, or general. (158) t » J APPENDIX. T tr^Tv-T. OF credit a letter or order sent by one merchant or banker to Letter of <^redii. a ii^n-^i v.^„-,,r of the letter a certain sum :Ss,in^rSfarc^^irLrsr;^s::^ X ^^f ^^l^l^'^^^^y^a^mci;: ^^a to relatives or creditors, after LIFE A.^LUANCE ^^^^^^ !^'/ .,„,i^,^ p^id during life to an assurance X'vivintup/rcenlS amount according to age, health, or risk of office, varying m P^"^*^" -= . ascertaining the expectation of hie, ac- accidental death. A fl^"^" 5"*V K^.f ^« to tike the a-e from the number /.<^,.Hino• tn the Northampton tables, is to taKC tuc a^t. nui" " cording to mc Dunuaini^ x"\\up of a nolicv is generally Uot™.VT.o* An Hrrangemcnt or settlement of the affairs of a merchant or ^Zfr ;rrn'ir:Xe''o''ra'Sof rrrLoodon, nsea .. the society ^^■^^^L^^rtf Marine in^re^^ only a centre pomtm the met^^^^^^^ ^ ,^ ,.^^ the place to «lch <^'f ^ ^P":™' ° 4. ^<,Vu information is exhibited in warded from all P^f'^f^f^^HonTUc lists made up and exlublt^d at one of the r»oms or pnbhc J^P;« ""^'./^'^i.^^ibers and the pnblic, famish ^Si'ctk';mSrforthrn's:';r merchants and shippers of goods all over the world. MANIFEST. A document containing a speciflc description of a rt^^ wttha "»« of the names of the passengers, and of the packages, &c., forming her cargo. Ill- p?orr/"rrurrsrwMrg":s:- produce a«er ^..r of goods and packages. O.O.HS. An order .a ^;^-J^ -:^2::S^^:^.:^, Lro;^trs;tafn\rm";ct.ds~^ i::hr;^hreTr«™Wei-" ?:r^^'^r;r received;- "amt.," for «' amount ; " " rec'd," for " received," &c. » --ner\t:;;r^s-:nrSctr"r^^^^^^^ Ei^:''^:^^:^':::^^ .o carry on a business, they are said to be in partnership. Commercial Com- Percentage. a rate or commission per hundred. -See Commercial i.om PETT?' cTsH BOOK. A book for entering small receipts and Payments -hich are tranXred to the " Cash Book," either daily, weekly, or monthly, ac- P^Jcv.' T\f cTrSfilrLued to an insurer by a Ufe, fire, or marine insur- Prfmium''"a rate paid for insurance ; something given to invite a loan or bargin; an advance paid by purchasers of stock, shares, exchange, &c. above the par price. (150) ! BOOK-KEEPING. ^nler^SSrj^.t.^rtc^''"' "" "' «>» '-ta-" ™r.et price, of t,e d., f„, cargoes. "'"^ ""HBtancc In loaUiDj an^ imloadin.^ « foreign „ge„, or r^tXnjrrilr '?; '» «■"-"»» »«"" pledge Its credit and authority, ,vhici^ i, cSIhT'^ '° "S" «"■ ' a™. »r to Pko foajiA. For the sate of form <*"»<' J"-oc«ro"^ktaMge,,,«,,o« cubic fee,, and . employed by ship-builders, wherebv 7hll^' ? """ "'""'" formula! ength, breadth, and dcpth'„7,he ^es el ■ b,rf "/»'""•""' from the the real tonnage, or the tn.e .mounTr^^VS T^.tr^^rjZ". (160) ' ' . APPENDIX. because two vessels exactly equal in length, breadth, and depth, measured as those dimensions usually are, may have very different internal capacity, owing to different curvatures of the hull. A ship will sometimes carry more than her registered tonnage indicates, sometimes less ; and therefore the word " tonnage " is to be regarded only as a rough approximation to the burden which the vessel will carry. TuADE Sale. A special auction or sale of articles suited to particular classes of dealers. Truss. A small hand-packed bundle of dry goods, the outer covering being frequently of canvas. Packages of hay and straw compressed and roped, or hooped, are called trusses. Trustee. One appointed to act for another, as in the case of an agent for infants' property; or one deputed to act for the general benefit of cred- itors, &c. Ullage. What remains in a cask after a portion is gone ; a cask only part full. Underwriter. One who takes a risk or share in marine insurance, writing his name on the policy of insurance as answerable for a certain amount in case of loss, upon receipt of an agreed rate of premium. Voucher. An acquittance or receipt, discharging a person, or being evi- dence of payment. Wharfage. The charge paid on goods to the owner or occupier of a wharf. 14* (161) BOOK-KEEPING. CASH There are several different styles of Cash Books. The following example is a lar^e business, the dates bcin- placed in tlie centre of the pa ... 10) centimes, 37 .28 .mi .52 1.00 1.12 " Current of " 10 " 12 " Mill Kea of Azores, 1000 reis, " " " Brazil, 1000 " " " " Madeira, 1000 " « it «i Portugal 1000 " Ounce of Sicily, 30 tari, 20 grani, 2.40 Pagoda of India, 1.94 " star, of Madras, 42 fanams, 80 cash, \.M Pound of Great Britain, 20 shillings, 12 pence, 4.84 20 «' 12 " ... .4.00 „ ( Nova Scotia. N.Brunswick. :l ewfoimdland & Canadas, Real, plate, of Spiiin, 34 maravedis, i0 Rix Dollar of Batavia, 48 stivers, 75 " " " Berlin, 30 groschen, 12 pfennings, . . . .69 " " " Bremen, 72 grotes, 5 swares, 783 '* " Banco of Sweden, 48 skillings, 12 runstycks, . . . .39J " " " " Norway, 6 marks, 10 skilling, 39J " Thaler of Bremen, 72 grotes, 5 swares, 78J Rouble, silver, of Russia, 100 kopecks, 75 " paper, " " 100 " 3^ to 1 silver. Rupee of British India, 10 annas, 12 pice, 44J Scudi of Sicily, 12 tari, 1.00 Tael of China, 10 mace, 100 candareens 1.48 (166) ■-f QUESTIONS FOR PRACTICE. A, in Boston, sent to B, in Chicago, merchandise to the amount of ten thou- sand dollars, to be sold on joint account. B advises that he has sold to a prolit of two thousand dollars, and that he has forwarded to A merchandise to the amount of fifteen thousand dollars, to be sold on joiut account. A pays cash for Ireight, and other expenses, twenty-five hundred dollars, but finding tliat he cannot sell to advantage in Boston, with B's consent ships the whole to C, in Havana, to be sold on joint account — that is, C is to have one third interest in the adventure. He advises A that he has sold to a loss of tliree thousand dollars. What are all the entries ? SMALL PROFITS AND LARGE SALES. THE NIMBLE SIXPENCE. A man borrowed $6000 to commence business with, agreeing to pay interest at the rate of per cent, per annum, payable monthly, that is, $30 per month. His store rent and other expenses amounted to $270 per month additional. He purchased his goods on six months' credit, but invariably paid cash, re- ceiving 5 per cent, discount. He sold his goods at 5 per cent, advance of the invoice price, and cleared out his entire stock and re-invested the proceeds every month. At the end of the year he ^aid back the principal, $0000. What profit did he make ? Ans. $7318.80. LIQUOR AGENCY ACCOUNT. The selectmen of a certain town appointed a liquor agent, and furnished him with liquor to the amount of $8'->5.00, and cash $215. The agent received cash for liquor sold $1323.40. He paid for liquor bought $937 ; to the town treas- urer $300 ; sundry expenses, $29 } his own salary, $205 ; he delivered to in- digent persons, by order of the town, liquor to the amount of $13.50. Upon taking stock at the end of the year, the liquor on hand amounted to $010.50. Did the town gain or lose by the agency .'' and how much.' Has the agent any money in his hands belonging to the town, or does the town owe the agent ? and how much in cither case .' Ans. The town lost $103.20. The agent owes the town 7.40. Agreeably to your request, Messrs. S. & Co., of Canton, collect and ship to you, by the Guiding Star, copper cash to the value of $118.33, for which they draw on Messrs. Baring Bros. & Co., London, a draft on your account for £2904, — a draft on London of that amount being equal to $118.33 at Canton. Messrs. Baring Bros. & Co, charge you commissions, &c., amounting to £56, making their claim against you £2960, to meet which you purchase of Messrs. J. E. Thayer & Brother a draft on London for £29no, giving them in payment T. & Co.'s acceptance of your draft at six mouths, for $15535, which they dis- count at 1^ per cent, per month. What are all the entries ? (167) lit I I CARD. COMER'S COMMERCIAL COLLEGE, Cranite BuilJinj, corner of Wasliin^ton and School Streels, Boston, (Founded by G. N. Comer, a. d. 1840,) Offers peculiar facilities for preparing young men for Mercantile, Engineering, or Seafaring life, — not the mere sclioolboy theories of the academies, but such practical knowledge as will enable the graduate to put his acquirements into immediate operation with confidence. There being no class si/stem, students may enter at any time ; and those who desire it are aided in obtaining suitable employment. A separate department is provided for Ladies, who receive in- struction from the principals, the lady superintendent, and the other teachers. Xearlt/ all the lady book-keepers in the city and vicinity, as also hundreds of the most expert pe?imen and accountants, have been prepared for and placed in their present sitxiations by the principals of this insti- tution, which, under its present (1861) management, has been unin- terruptedly and successfully 'conducted for twenty years past. A thorough knowledge of Book-Keepino may be acquired in from one to three months' study, dependent upon the degree of pre- vious preparation, application, and tact brought to bear upon it. Practical Navigation may be acquired in from two to ten weeks. Officers, and others, already competent, may receive certificates of their qualifications as Navigators, upon presenting themselves for examination at this institution, which is under the direct patronage of the Marine Insurance Companies and the Merchant Ship-owners of Boston. The best Instruments, Charts, &c., are provided free. For the convenience of those occupied during the day, there are Evening Sessions between the first of September and the first of May. Full particulars are given in the Annual Catalogue and Circular of Terms, which may be had at the College Office, No. 139 Washington St., Boston, or, upon request, will be sent by mail, free. Mr. Comer may be consulted in relation to all matters of account. Particular attention is given to Office Business, — the Opening, Posting, and Closing of Books, the Examination and Adjustment of Complicated Accounts, settling Controversies in relation to De- ceased, Insolvent, and other Estates. GEORGE N. COMER, ) OLIVER E. LINTON, ^ PaiNciPALS. (108) I 1/ /y^^H oao'as NEH MAV2 41994) COLUMBIA UNIVERSITY LIBRARIES 0041419545 JUL 4 1945 ^.pfc5|e^.J»^A5V,4,:j^;i^:*,^ V'vft.t . .-.;! . ,. ■:ci : -«V|^!*{«,3i*:vi^^ -■».,.-l;.4i' JfrO-'Si'i :-| ■ ■ ■■•.•'.*.i(.r\-',^.-i '■ .y , i-J*: l*"t*i.*4..*M-' ;: '•■;.. -Jv *' 'U < • .! - .: ■! ■^S;5' > ■-.; •.i\,i-->i*.fiftrfiij,. ;>.;',■■■'■, :.l:»^^*4*-'M4--<.*- *•.,.' 'i.-.r ^r.-!^*; -' -■-i>"jyi|-» ■s.-t"-- - r^,,. ..,.^-. . < -- • - : ■— ■ ••'-■-■ .-:■■• ■i'^■'(■^y 4 *»ii&^l. END OF TITLE