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5. If 11 cwt. 1 gr. 25 lb. of sugar cost 126 dols. 50 cts. Low 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. out 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 125 per cent. ♪ Aus. 81, 51ets. 875!n

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IV. When there is gained or lost per cent. to know what the commodity cost.


As 1904. 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.


1. if a vard of cloth be sold at 148. 7d. and there is gained 167. 138. 4d. per cent.; what did the yard cost? £. s. d. s. d.

As 116 13 4: 147 ::
2. By selling broadcloth at
ose at the rate of 20 per cent.;
said cloth per yarıl?


5. It 40 lb. of choco.ate be sold at 25 cts. per lb. and I gain 9 per cent.; what did the whole cost ine?


100 to 12s. 6d. Ans.

dols. 25 cts. per yard, I what is the prime cost of Ans. $4, 06ets. 24m.

Ans. 89, 17ets. 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, 70cts. 9m.-Ļ

V. If by wares sold at a given rate there is so much gained or lost per cent. to know what would be gained pr Tost per cent. if sold at another rate.


As the first price is to 1007. 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 100 dals. the excess is your gain per cent. ; but if it be less then 194 that deficiency is the loss per cent.


1. If I sell cloth at 5s. per yd. and thereby gain 15 pez cert. what shall I gain per cent. if I sell it at 6s. per yard? S. £. S. £.

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. Scts. per gallon?

8 cts. S

8 cts. S

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. Ilose only 1 per cent.

4. I sold a watch for 177. 1s. 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 ? £. s. d. £. £. s. d.


As 85 17 1 5 :: 100: 20 18 the prime cost.
100 20 18: 120 24 2 0 the real value
Sold for 17 1 5

£7 0 7 Answer.


Is a rule by which the accompts 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.


Is when the several shares of stock are continued in trade an equal term of time.


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 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 merchandize, 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 $50



S50: 106,707S+A's share.

As 820: 250 :: 2470 143,2926+B's share

Proof 249,9999+=$250

2. Three merchants make a joint stock of 1200l. o. which A put in 2401. B 360l. and C 6004.; and by trading they gain 3251. 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, C 10. 4. Four men traded with a stock of 800 dollars, by which they gained S07 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, 72cts 5m. B $99, 77 cts. C $115, 12 cts. and D 838, 37 cts.

5. A bankrupt is indebted to A 2117. to B 300l and to C 5917. and his whole estate amounts only to 675l. 10s. which he gives up to these creditors; how much must each have in proportion to his debt?

Ans. A must have £158 Qs. Sid. B £224 138 44d. and C292 16. sid.

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 o. vided among the sailors; how much did each man receive? $ cts. 1069, 75 486, 25

Ans. The captain received
The mate
Each sailor

97, 25 7. Divide the number of 360 into 3 parts, which shal De to each other as 2, 3 and 4. Ans. 80, 120 and 160. 8. Two merchants have gained 450l. of which A is to have 3 times as much as B; how much is each to have? Ans. A £357 10s. and B £112 10s.-1+34 : 450:: S: £337 10s. A's share.

9. Three persons are to share 6007. A is to have a certain sum, B as much again as A, and C three times as much as B I demand cach man's part?

Ans. A £668, B £138, 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, 66:ts. 6m.+ and B $83, 33cts. Sm.+


OR Fellowship with time, is occasioned by several shares of partners being continued in trade an unequal term of time.


Multiply each man's stock or share by the me it was continued in trade: then.

As the sum of the severa. products,
Is to the whole gain or loss

is each man's particular product
To his particular share of the gain or loss.

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1. A, B and C hold a pasture in common, for whnob 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?

8x 6 48" 12× 8= 96 12x12-144 As 288: 19.

£. 48: 3

96 6 6

144: 9 10

s. d. 344 A's pt. 8 B's

0 C's

Sum 288

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, 75cts. B's $146, 25cts.

3. Three persons had received 665 dols. interest: A nad put in 4000 dols. for 12 months, B 3000 dols. for 15 months, and C 5000 dols. for 8 months; how much is each man's part of the interest?

Ans. A $240, B $225 and C $200 4. Two partners gained by trading 110. 12s.: A's stock was 120l. 10s. for 4 months,, and B's 2001. for 61 months; what is each man's part of the gain! Ans. A's part £29 188. Std.. B's 80 15s. 8d.

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 month's 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?

Ans. S8324, 07 4+d's share.
28875, 92 5+B's. do

6. A and B companied; A put in the first of January 1000 dols.; but B could not put in any till the first e May; what did he then put in to have an equal sham with A at the year's end ?


As 12



1000 :: 8: 1000×12-1800 Ana

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