141 BARTER. จ posed rate can be bought for the same money, and it the answer. EXAMPLES. gives given 1. What quantity of flax at 9 cts. per lb. must be in barter for 12lb. of indigo, at 2 dols. 19 cts. per lb. ? 12lb. of indigo at 2 dols. 19 cts. per lb. comes to 26 dols. 28 cts. therefore, As 9 cts.: 1lb. :: 26,28 cts. : 292 the answer. 2. How much wheat at 1 dol. 25 cts. a bushel, must be given in barter for 50 bushels of rye, at 70 cts. a bushel ? Ans. 28 bushels. 3. How much rice at 28s. per cwt. must be bartered for Sicwt. of raisins, at 5d. per lb. P Ans. 5cwt. Sqrs. 9113lb. 4. How much tea at 4s. 9d. per lb. must be given in barter for 78 gallons of brandy, at 12s. 34d. per gallon? Ans. 201lb. 15oz. per 5. A and B bartered: A had 81cwt. of sugar at 12 cts Ib. for which B gave him 18cwt. of flour; what was the flour rated at per lb. ? Ans. 5cts. 6. B delivered 3 hhds. of brandy, at 6s. Sd. per gallon, to C, for 126 yds. of cloth, what was the cloth per yard? Ans 108. 7. D gives E 250 yards of dragget, at 50 cts. per yd. for 3191b. of pepper; what does the pepper stand hir i per lb. P Ans. 23cts. 5.4m. 8. A and B bartered: A had 41cwt. of rice. at Zis. per cwt. for which B gave him 201. in money, and the rest in sugar, at 8d. per ib.; i demand low much enga B gave A besides the 201. P Ans. 6cwt. Ogr. 19 Wh 9. Two farmers bartered: A had 120 bushels of wheat, at 1 dols. per bushel, for which B gave him 100 bushelof barley, worth 65 cts. per bushel, and the balance in cats at 40 cts. per bushel; what quantity of oats did A receive from B? Ans. 287 bushels 10. A hath linen cloth worth 20d. an ell ready money; but in barter he will have 2s. Bhath broadcloth worth 14s. 6d. per yard really money, at what price ought B to rate his broadcloth in barter, so as to be equivalent to A's bartering price? Ans. 17s. 44. 33ars. 139 A and B barter: A nath 145 gallons of brandy at A. 20 cts. per gallon ready money, but in barter he all have 1 dol. 35 cts. per gallon: B has linen at 58 cts.* per yard ready money; how must B sell his linen per yard in proportion to A's bartering price, and how many yards are equal to A's brandy? Ans. Barter price of B's linen is 65cts. 23m. and he must give A 300 yds. for his brandy. 12. A has 225 yds. of shalloon, at 2s. ready money, per yard, which he barters with B at 2s. 5. per yard, talir indigo at 12s. 6d. per lb. which is worth but 10s. how much indigo will pay for the shalloon; and who gets the best bargain? Ans. 43lb. at barter price will pay for the shalloon, and B has the advantage in barter. Value of A's cloth at cash price, is £22 10 15 B gets the best bargain by £0 15 LOSS AND GAIN, Is a rule by which merchants and traders discover their profit or loss in buying and selling their goods: it also instructs them how to rise or fall in the price of their goods, so as to gain or lose so much per cent. or otherwise. Questions in this rule are answered by the Rule of Three. EXAMPLES. 1. Bought a piece of cloth containing 35 yards, for 191 dols. 25 cts. and sold the same at 2 dols. 81 cts. per yard; what is the profit upon the whole piece? Ans. $47, 60cts. 2. Bought 12 cwt. of rice, at 3 dols. 45 cts. a cwt. and sold it again at 4 cts. a pound; what was the whale gain ? Ans. $12, 87cis. 5m 3. Bought 11 cwt. of sugar, at 64d. per lb. but could not sell it again for any more than 21. 16s. per cwt.; did 1 gain or lose by my bargain? Ans. Lost, £2 11s. 4d. 4. Bought 44 lb. of tea for 6l. 12s. and sold it again for 8. 10s. 6.; what was the profit on each pound? Ans. 10d. 5. Bought a hhd. of molasses containing 119 gallons, et 52 cts. per gallon; paid for carting the same I dollar 25 cents, and by accident 9 gallons leaked out; at what rate must I sell the remainder per gallon, to gain 15 dol lars in the whole ? Ans. 69cts. 2m.-+ II. To know what is gained or lost per cent. RULE. First see what the gain or loss is by subtraction; then As the price it cost is to the gain or loss: so is 1001. or $100, to the gain or loss per cent. EXAMPLES. 1. If I buy Irish linen at 2s. per yard, and sell it again at 28. 8d. per yard; what do I gain per cent. or in laying out 100%. ? As: 2s. 8d.:: 100l. : £35 6s. 8d. Ans. 2. If I buy broadeloth at 3 dols. 44 cts. per yard, and sell it again at 4 dols. 30 cts. per yard; what do I gain per cent. or in laying out 100 dollars ? cts. Sold for 4, 30 Gained per yd. 86j S. If I buy a cwt. of cotton for 34 dols. 86 cts. and sell it again at 413 cts. per lb. what do I gain or lose, and what per cent.? Sats. 1 cwt. at 41icts. per lb. comes to 46,48 Prime cost 34,86 Gained in the gross, $11,62 As 54,86: 11,62 :: 100: $33 Ans. 533 per cent. 4. Bought sugar at 81d. por lb. and sold it again at 41. 178. per cwt. what did I gain per cent. P Ans. £25 19s. 53d. 5. If I buy 12 hhds, of wine for 2041. and sell the same again at 141. 17s. 6d. per hhd. do I gain or lose, and what per cent. ?. Ans. I lose 122 per cent. 6. At 14d. profit in a shilling, how much per cent. ? Ans. £12 10s. . At 25 cts. profit in a dollar, how much per cent. ? Ans. 25 per cent. NOTE. When goods are bought or sold on credit, you must calculate (by discount) the present worth of their price, in order to find your true gain or loss, &c. EXAMPLES. 1 Bought 164 yards of broadcloth, at 14s. 6d. per yd. ready money, and sold the same again for 1541. 10s. on 6 months credit; what did I gain by the whole; allowing discount at 6 per cent. a year? O present worth. 118 18 prime cost. Gained £31 2 Answer. 2. If I buy cloth at 4 dols. 16 cts. per yard, on eight months credit, and sell it again at 5 dols. 90 cts. per yd. ready money, what do I lose per cent. allowing 6 per cent. discount on the purchase price? Ans. 24 per cent. III. To know how a commodity must be sold, to gain or lose so much per cent. RULE. As 100 is to the purchase price :: so is 100%. or 100 dols, with the profit added, or loss subtracted: to, the selling price. EXAMPLES. 1. If I buy Irish linen at 2s. Sd. per yard; now must I sell it per yard to gain 25 per cent.? : As 100%. 2s. 3d. : : 1251. to 29. Id. 3qrs. Bus. 2. If I buy Rum at 1 dol. 5 cts. per gallon; how must I sell it per gallon to gain 30 per cent.? As $100 $1,05 :: 3130: $1,86icts. Ans. 3. If tea cost 54 cents per lb. ; how must it be sold per lb. to lose 12 per cent.?. As $100 54 cts. 87, 50 cts.: 47cts. 2m.Aus. 4. Bought cloth 17s. Gd. per yard, which not proving so good as I expected, 1 an obliged to lose 15 per cent. by it; how must I sell it per vard ? Ans. 14s. 1044. 5. If 11 cwt. 1 qr25 lb. of sugar cost 126 dols. 50 cts. how must it be sold per lb. to gain 30 per cent. ? Ans. 12cts. 8m. 6. Bought 90 gallons of wine at 1 dol. 20 cts. per gall. but by accident 10 gallons leaked out, at what rate must I sell the remainder per gallon to gain upon the whole prime cost, at the rate of 124 per cent. ? Ans. 81, 5icts. 875m. IV. When there is gained or lost per cent. to know → what the commodity cost. RULE. As 100%. or 100 dols. with the gain per cent. added, or loss per cent. subtracted, is to the price; so is 100 to the prime cost. EXAMPLES. 1. If a yard of cloth be sold at 14s. 7d. and there is gained 167. 13s. 4d. per cent.; what did the yard cost? S. d. s. d. 100 to 12s. 6d. Ans. As 116 13 4: 14 7 :: 2. By selling broadcloth at 3 dols. 25 cts. per yard, I lose at the rate of 20 per cent.; what is the prime cost of said cloth per yard? Ans. 84, 06cts. 2jm. s. If 40 lb. of chocolate be sold at 25 cts. per lb. and I gain 9 per cent. ; what did the whole cost me ? Ans. $9. 17cts. 4m 44. Bought 5 cwt. of sugar, and sold it again at 12 cents per lb. by which I gained at the rate of 254 per cent.: what did the sugar cost me per cwt. Ans. $10, 70ets. 9m. + V. If by wares sold at a given rate there is so much gained or lost per cent. to know what would be gained an lost per cent. if sold at another rate. RULE. As the first price is to 100l. or 100 dols. with the profit per cent. added, or loss per cent. subtracted :: so is the other price to the gain or loss per cent. at the other rate. N. B. If your answer exceed 1007. or 90 dols. the excess is your gain per cent.; but if it hess than 100, that deficiency is the loss per cent. |