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5. If 11 cwt. 1 qr. 25 lb. of sugar cost 126 dols. 50 cts. how must it be sold per lb. to gain 30 per cent. ?
Ans. 12 cts. 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. $1, 51 cts. 8jom.
IV. When there is gained or lost per cent. to know what the commodity cost.
RULE.-As 1001. 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 gaiued 161. 13s. 4d. per cent. ; what did the yard cost ?
. d. d. £. As 116 13 4:14 7::100 to 12s. 6d. Ans. 2. By selling broadcloth at 3 dols. 25 cts. per yard, I Iose at the rate of 20 per cent. ; what is the prime cost of said cloth per yard ?
Ans. $4, 06 cts. 21m. 3. 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, 17 cts. 4m. + 4. Bought 5 cwt. of sugar, and sold it again at 12 cents per lb. by which I gained at the rate of 25; per cent. ; what did the sugar cost me per cwt. ?
Ans. $10,70 cts. 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 per cent. 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. If 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.
1. If I sell cloth at 5s. per yd. and thereby gain 15 per cent. what shall I gain per cent. if I sell it at Os. per yd. 3
£ 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 ceat. if I sell it at 1 dol. 8 cts. per gallon?
$ cts. $ $ cts.
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 cent. 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 3
£. £ s. d. £. £. s. d. As 85 : 17 1 5 : : 100 : 20 1 8 the prime cost. 100 : 20 1 8: : 120 : 24 20 the real value.
Sold for 17 1 5
£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 divided among his creditors, &c.
SINGLE FELLOWSHIP, Is when the several shares of stock are continued in 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.
Proor.-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.
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
350 : 106,7073+A's share. As 820 : 250 : :
470 : 143,2926+B's share.
Proof 249,9999+=$250 2. Three merchants make a joint stock of 12001. of 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, und 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's 260 dols. C's 300 dols. I demand D's stock, and what each man gained by trading?
Ans. D's stock was $100, and A gained $53, 72 cts. 5 m. B $99.774 cts. C $115, 12, cts. and D $38, 37cts.
5. A bankrupt is indebted to A 2111. to B 3001. and to C 3911. and his whole estate amounts only to 6751. 10s. which he gives up to those creditors; how much must each have in proportion to his debt?
Ans. A must have £158 Os. 33d. B £224 13s. 4 d and C £292 16s. 3 d.
6. A captain, mate, and 20 seamen, took a prize worth 3501 dols. of which the captain takes 11 shares, and the mate 5 shares; the remainder of the prize is equally divided among the sailors ; how much did each man receive?
cts. Ans. The captain received 1069, 75 The mate
486, 25 Each sailor
97, 25 7. Divide the number of 360 into 3 parts, which shall be to each other as 2, 3 and 4. Ans. 80, 120 and 160.
8. Two merchants have gained 4501. of which A is to have three times as much as B; how much is each to have? Ans. A £337 10s. and B £112 10s.-1+3=4 ; 450 : :
3 : £337 10s. A's share. 9. Three persons are to share 6001. A is to have a cer. tain sum, B as much again as A, and C three times as much as B. I demand each man's part?
Ans. A £66%, B £1337, and C £400. 10. A and B traded together and gained 100 dols. A put in 640 dols. B put in so much that he must receive 60 dols. of the gain; I demand B's stock?
Ans. $960. 11. A, B and C traded in company : A put in 140 dols. B 250 dols. and C put in 120 yds. of cloth, at cash price ; they gained 230 dols. of which C took 100 dols. for his share of the gain : how did C value his cloth per yard in common stock, and what was A and B’s part of the gain? Ans. C' put in the cloth at $2} per yard. A gained $46,
67 cts. 6 m. tand B $83, 33 cts. 3 m. +
COMPOUND FELLOWSHIP, OR Fellowship with time, is occasioned by several shares of partners being continued in trade an unequal term of time.
RULE.--Multiply each man's stock, or share, by the timu it was continued in trade : then,
As the sum of the several products,
1. A, B and C hold a pasture in common, for which they pay 191. per annum. A put in 8 oxen for 6 weeks; B 12 oxen for 8 weeks; and C 12 oxen for 12 weeks; what must each pay of the rent ?
£. d. 8 x 6= 48
48 : 3 3 12 x 8= 96
96 : 6 6 8 B's 12 x 12=144 SAS 288: 191. :: 144 : 9 10 0 C's
4 A's part.
Proof 19 0 0 2. Two merchants traded in company; A put in 215 dols. for 6 months, and B 390 dols. for 9 months, but by misfortune they lose 200 dols.; how must they share the loss?
Ans. A's loss $53, 75 cts. B's $146, 25 cts. 3. Three persons had received 665 dols. interest: A had put in 4000 dollars for 12 months, B 3000 dollars for 15 months, and C 5000 dollars for 8 months; how much is cach man's part of the interest ?
Ans. A $240, B $225, and C $200. 4. Two partners gained by trading 1101. 12s. : A's stock was 1201. 10s. for 4 months, and B's 2001. for 6! months ; what is each man's part of the gain?
Ans. A's part £29 183.3}d.1419 B's £80 138.8;d. We
5. Two merchants enter into partnership for 18 months. A at first put into stock 500 dollars, and at the end of 8 months he put in 100 dollars more; B at first put in 800 dollars, and at 4 months' end took out 200 dols. At the expiration of the time they find they have gained 700 dollars; what is each man's share of the gain?
$324, 07 4+ A's share.
6. A and B companied; A put in the first of January, 1000 dollars; but B could not put in any till the first of May; what did he then put in to have an equal share with A at the year's end ? Mo.