posed rate can be bought for the same money, and it gives the answer. 21 EXAMPLES. 1. What quantity of filax at 9 cts. per lb. must be giv: en in barter for 12 lb. of indigo, at 2 dols. 19 cts. per lb. ? 12 lb. of indigo at 2 dols. 19 cts. per lb. comes to 26 dols. 28 cts. therefore, As 9 cts. : i lb. : : 26,28 cts. : 292 the answer. 2. How much wheat at 1 dol. 25 cts. a bushel, must be given in þarter for 50 bushels of rye, at 70 cts. a bushel ? Ans. 28 bushels. 3. How much rice at 289. per cwt. must be bartered for Sticwt. of raisins, at 5d. per Ib. ? Ans. 5cwt. 3qrs. 91 lb. 4. How much tea at 4s. 9d. per lb. must be given in barter for 78 gallons of brandy, at 125, 31d. per gallon ? Ans. 2011b. 133702. 5. A and B bartered : A had &fcwt. of sugar at 12 cts. per lb, for which В gave him 18 cwt. of flour; what was the flour rated at per lb. ? Ans. 5}cts. 6. B delivered Š. hhds. of brandy, at 69. 8d. per gallon, to C, for 126 yas. of cloth, what was the cloth per yard ? Ins, 10s. 7. D gives E 250 yards of drugget, at s0 cts. per yd. for 319 lbs. of pepper; what does the pepper stand him per Ib. ? Ans. 23rts. 51 m. $. A and B bartered : A had 41 cwt. of rice, at 21s. per cwt. for which В gave him 201. in money, and the rest in sugar at 8d. per lb.; Idemand how much sugar B gave A besides the 201. ? Ans. 6cut. Ogrs. 1931b. 9. Two farmers bartered : A had 120 bushels of wheat, at 1} dols. per bushel, for which В gave him 100 bushels of barley, worth 65 cts. per bushel, and the balance in oats 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 28. B hath broadcloth worth 14s. 6d. per yard ready money, at what price ought B to sate his broadcloth in barter, so as to be equivalent to A's bartering price? Ans. 17s. 4d.-310-47s. £22 10 11. A and B barter: A hath 145 gallons of brandy at 1 dol. 20 cts. per gallon ready money, but in barter ke, will have 1 dol. 33 cts. per gallon: B has linen at 58 cts. per yard ready money; how must B sell his linen per yard in proportion to Å'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 25, ready money, per yard, which he barters with B at 2s. 5d. per yard, taking indigo at 12s. 6d. per Ib, which is worth but 105. how much indigo will pay for the shalloon ; and who gets the best bargain ? Ans. 43}lb. at barter price will pay for the shalloon, and B has the advantage in barter. Value of A's cloth at cash price, is B gets the best bargain by £Q 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 in. structs thein how to rise or fall in the price of their goods, so as to gain or lose so, unuch per cent. or otherwise. Questions in this rule are answered by the Rule of Three 1. Bought a piece of cloth containing 85 yards, for 191 dols. 25 cts, and sold the same at 2 dols. 81 ets. per yard; what is the profit upon the whole piece ? Ans. $47, 604,5. %. Bought 12 cwt. of rice, at s dols. 45 cts. a ewt. and sold it again at 4 cts. a pound; what was the whole Ans. $12, 87cts. 5m. 3. Bought 11 cwt. of sugar, at 61d. per Ib. but could not sell it again for any more than 21. 16s. per cwt. ; did I gain or lose by my bargain ? Ans. Lost, 62 11s. 4d. 4. Bought 44 lb. of tea for 6l. 12s. and sold it again for 81. 10s. 63. ; what was the profit on each pound? Ans. 1030 EXAMPLES. gain? 5.) wain 5. Bought a hhd. of molasses containing 119 galle at 52 cts. per gallon; paid for carting the same i do 25 cents, and by accident 9 gallons leaked out; at w rate must I sell the remainder per gallon, to gain 13 lars in the whole ? Ins. 69cts. 2m. + II. To know what is gained or lost per cent. RULE. First see what the gain or loss is by subtraction; th As the price it cost : is to the gain or loss : : so is 10 or $100, to the gain or loss per cent. EXAMPLES. 1. If I buy Irish linen at 2s. per yard, and sell it aga at 2s. 8d. per yard; what do I gain per cent. or in layii out 1001. : As : 2s. 8d. : : 1001. : £33 6s. 8d. Ans. 2. If I buy broadcloth at 3 dols. 44 cts. per yard, ar sell it again at 4 dols, 30 cts. per yard; what do I ga per cent. or in laying out 100 dollars ? 8 cts. $ As 3, 44 : 86 : : 100 : 25 Ans. 25 per cent. Gained S. If I buy a cwt. of cotton for 34dols. 86 ets. and se it again at 41} cts. per lb. what do I gain or lose, an what per cent. ? $ cts. 1 cwt. at 413 cts. per lb. comes to 46,48 Prime cost 34,86 S, 44 per yd. 86 Gained in the gross, $11,62 As 34,86 : 11,62 : : 100 : 33 Ans. 33} per cer 4. Bought sugar at 8£d. per lb. and sold it again at 4 17s. per cwt. what did I gain per cent. ? Ans. £25 19s. 53d. 5. If I buy 12 hhıls. of wine for 2041. and sell the sao again at 141. 17s. 6.1. per hhd. do I gain or lose, ad what per cent..? Ans. I lose 12 per cent. 6. At 13d. profit in a shilling, how much per cent. ? Ans. £12 10s. bu 7. At 23 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. COS 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? f 118 18 prime cost. 2 Answer. 2. If I buy cloth at 4 cols. It cts. per yard, on eight months credit, and sell it again at 3 dols. 90 cts. per yd. ready money, what do I lose per eent. allowing 6 per cent. discount on the purchase price? Ans. 25 per cent. Gained £,31 EXAMPLES. 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 100l. or 100 dols. with the profit added, or loss subtracted : to the-selling price. 1. If I buy Irish linen at 26. 3d. per yard ; how must I sell it per yard to gain 25 per cent. ? As 1001, : 2s. 3d. : : 1251. to. 2s. 9. Sqrs. Ans. 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 : : $150 : $1,564cts. Ans. 3. If tea cost 54 cents per Ib. ; how must it be sold per bb. to lose 123 per cent.? As 8100 : 54 cts. : : $87, 50 cts. : 47cts. 24m.fi!, 4. Bought cloth 175. 6. per yard, which not proving so good as I expected, I am obliged to lose 15 per cent. by it; how must I sell it fer yard ? Pils. 145, 10 d. ex th 5. If 11 cwt. 1 qr. 25 lb. of sugar cost 126 dols. 50 how must it be sold per Ib. to gain so per cent. ? Ans. 12cts. 8: 6. Bought 90 gallons of wine at i dol. 20 cts. per but by accident 10 gallons leaked out, at what rate m sell the remainder per gallon to gain upon the whole p cost, at the rate of 125 per cent. ? Ans. $1, 51cts. 81 EXAMPLES. $. d. IV.-When there is gained or lost per cent. to k what the commodity cost. RULE. As 100l. or 100 dols. with the gain per cent. added loes per cent, subtracted, is to the price; so is 100 to prime cost. 1. If a yard of cloth be sold at 14s. 7d. and ther guined 161. 13s. 4d. per cent.; what did the yard co £ s. f As 116 13 4 : 14 7: : 100 to 12s. 6d. Ans. 2. By selling broadcloth at 3 dols. 25 cts. per yard lose at the rate of 20 per cent. ; what is the prime cost said cloth per yard ? Ans. $4, 06cts. 23m 3. If 40 lb. of chocolate be sold at 2$ cts. per lb. and gain 9 per Ans. $9, 17 cts. 4m. + 4. Bought 5 cwt. of sugar, and sold it again at 12 ce per lb. by which I gained at the rate of 25$ per cen what did the sugar per cwt. Ans. $10, 70cts. 9m. + Lost V. If by wares sold at a given rate there is so mu gained or lost per cent. to know what would be gained per cent. if sold at another rate. RULE. As the first price : is to 100l. or 100 dols. with the pr per cent. added, or loss per cent. subtracted :: so is other price : to the gain or loss per cent. at the other ra N. B. If your answer exceed 1001. or 100 dols. cxcess is your gain per cent.; but if it be less than 1 that deficiency is the low per cento, |