5. If 11 cwt. 1 qr. 25 lb. of sugar cost 126 dols. 50cts. 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 12 per cent. ? Ans. $1, 51cts. 87 m. IV. When there is gained or lost per cent. to know what the commodity cost. RULE. As 100l. 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. S. S. £. 1. If a yard of cloth be sold at 14s. 7d. and there is gained 161. 135. 4d. per cent. ; what did the yard cost? £. d. d. As 116 13 4:14 7: : 100 to 12s. 6d. Ans. 2. By selling broadckath 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.$4, 06cts. 2 m. 3. If 40 lb. of chocolate be sold at 25 cts. per lb. and I a) gain 9 per cent. ; what did the whole cost me? Ans. $9,17 cts. 4m. of 4. Bought 5 cwt. of sugai ,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, 70cts. 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 or lost percent. if sold at another rate. RULE. As the first price: is to 1001. 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. H your answer exceed 1001. or 100 dols. the excess is your gain per cent. ; but if it be less than 100% that deficiency is the loss per cent. EXAMPLES. 1. If I sell cloth at Is. per yd. and thereby gain 15 per cent. what shall I gain per cent. if I sell it ag 6s. per yard? . £. As 5 : 115 : :6 : 138 Ans. gained 38 per cent. 2. If I retail rum at 1 dollar 50 cents per gallon, and thereby gain 25 per cent. what shall I gain or lose per cent. if I sell it at 1 dol. 8cts. per gallon ? $ cts. $ $ cts. $ 1,50 : 125 : : 1,08 : 90 Ans. I shall lose 10 per cent. 3. If I sell a cwt. of sugar for 8 dollars, and thereby lose 12 per cent. wh:t shall I gain or lose per cent. if I sell 4 cwt. of the same sugar for 36 dollars ? Ans. I lose only 1 per ceni 4. I sold a watch for 171. Is. 5d. and by so doing lost 15 per cent. whereas I ought in trading to have cleared 20 per cent. ; how much was it sold under its real value ? £. f. s. d. £. £. s. d. As 85 : 17 1 5 : : 100 : 20 1 8 the prime cost. 100 : 20 1 8: : 120 : 24 2 0 the real value. Sold for 17 1 5 £7 0 7 Answer. FELLOWSHIP, IS S a rule by which the accounts of several merchants or other persons trading in partnership, are so adjusted, that each may have his share of the gain, or sustain his share of the loss, in proportion to his share of the joint stock. Also by this Rule a bankrupt's estate may be di vided among his creditors, &c. SINGLE FELLOWSHIP, Is when the several shares of stock are continued is trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the qain or loss. PROOF.--Add all the particular shares of the gain or loss together, and if it be right, the sum will be equal to the whole gain or loss. EXAMPLES. 1. Two partners, A and B, join their stock and buy a quantity of merchandise, to the amount of 820 dollars in the purchase of which A laid out 350 dollars, and B 470 dollars; the commodity being sold, they find their clear gain amounts to 250 dollars. What is each person's share of the gain ? A put in 350 As 820 : 250 :: S 350 : 106,7073+A's share. 470 : 143,29267.B's share. Proof 249,9999+$250 2. Three merchants make a joint stock of 12001. o which A put in 2401. B 360l. and C 6001. ; and by trading they gain 325l. what is each one's part of the gain ? Ans. A's part £65, B’s £97 10s. C's $162 10s. 3. Three partners, A, B, and C, shipped 108 mules for the West-Indies ; of which A owned 48, B 36, and C 24 But in stress of weather, the mariners were obliged to throw 45 of them overboard ; I demand how much of the loss each owner must sustain ? Ans. A 20, B 15, and C 10. 4. Four men traded with a stock of 800 dollars, by which they gained 307 dols. A's stock was 140 dols. B? 260 dols. C's 300 dols. I demand D's stock and wha each man gained by trading ? Ans. D's stock was $100, and A gained $53, 72cts. 5m. B $99, 77?cts. C $115, 12 cts. and D $38, 371cts. 5. A bankrupt is indebted to A 2111. to B 3001. and to C 391l. and his whole estate amounts only to 6751. 108 which he gives up to those creditors ; how much mus each have in proportion to his debt ? Ans. A must have £158 Os. 3 d. B 224 135. 430 and C £292 168. 3 d. N EXAMPLES. 1. If I sell cloth at Is. per yd. and thereby gain 15 per cent. what shall I gain per cent. if I sell it ag 6s. per yard? f. £. As 5 : 115 : :6: 138 Ans. gained 38 per cent. 2. If I retail rum at 1 dollar 50 cents per gallon, and thereby gain 25 per cent. what shall I gain or lose per cent. if I sell it at 1 dol. 8cts. per gallon ? $ cts. $ $ cts. 1,50 : 125 :: 1,08 : 90 Ans. I shall lose 10 per cent. 3. If I sell a cwt. of sugar for 8 dollars, and thereby lose 12 per cent, what shall I gain or lose per cent. if I sell 4 cwt. of the same sugar for 36 dollars ? Ans. I lose only 1 per cení 4. I sold a watch for 171. Is. 5d. and by so doing lost 15 per cent. whereas I ought in trading to have cleared 20 per cent. ; how much was it sold under its real value ? £. d. £. £. s. d. As 85 : 17 1 5 : : 100 : 20 1 8 the prime cost. 100 : 20 1 8:: 120 : 24 2 0 the real value. Sold for 17 1 5 f. s. £7 0 7 Answer. FELLOWSHIP, Is a rule by which the accounts of several merchants or other persons trading in partnership, are so adjusted, that each may have his share of the gain, or sustain his share of the loss, in proportion to his share of the joint stock.–Also by this Rule a bankrupt's estate may be di vided among his creditors, &c. SINGLE FELLOWSHIP, Is when the several shares of stock are continued is trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss. PROOF.--Add all the particular shares of the gain op loss together, and if it be right, the sum will be equal to the whole gain or loss. EXAMPLES 1. Two partners, A and B, join their stock and buy quantity of merchandise, to the amount of 820 dollars in the purchase of which A laid out 350 dollars, and B 470 dollars; the commodity being sold, they find their clea gain amounts to 250 dollars. What is each person's share of the gain ? A put in 350 As 820 : 250 : : S 350 : 106,7073+A's share. 470 : 143,2926+B's share. Proof 249,9999+=$250 2. Three merchants make a joint stock of 12001. o which A put in 2401. B 3601. and C 600l. ; and by trading they gain 325l. what is each one's part of the gain ? Ans. A's part £65, B's £97 10s. C's #162 10s. 3. Three partners, A, B, and C, shipped 108 mules fo the West-Indies ; of which A owned 48, B 36, and C 24 But in stress of weather, the mariners were obliged t throw 45 of them overboard ; I demand how much of th loss each owner must sustain ? Ans. A 20, B 15, and C 10. 4. Four men traded with a stock of 800 dollars, by which they gained 307 dols. A's stock was 140 dols. B? 260 dols. C's 300 dols. I demand D’s stock and wha each man gained by trading ? Ans. D's stock was $100, and A gained $53, 72cts. 5m B $99, 77}cts. C $115, 12}cts. and D $38, 37 cts. 5. A bankrupt is indebted to A 2111. to B 3001. and to C 391l. and his whole estate amounts only to 6751. 10 which he gives up to those creditors ; how much mus each have in proportion to his debt ? Ans. A must have £158 Os. 3 d. B $224 138. 41 and C £292 16s. 3 d. N |