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EXAMPLES.
-. If I sell cloth at 5s. per yd. and thereby gain 15 per
t. what shall I gain per cent. if I sell it at ős. per ;ard i
As 5 : 115 :: 6 : 138 Ans. gained 38 per cent.
5. If I retail rum at 1 dollar 50 cents per gallon and
reby gain 25 per cert. what shall I gain or lose per
t. if I sell it at i dol. 8cts. per gallon ?

cts. S & cts. $
50 ; 125 : : 1,08 : 90 Ans. I shall lose 10 per cent.

If I sell a cwt. of sugar for 8 dollars, and thereby 12 per cent. what shall I gain or lose per cent. if I 4 cwt. of the same sugar for 36 dollars :

Ans. I lose only 1 per cent. I sold a watch for 171. 18. 5d. and by so doing lost er cent. whereas I ought in trading to have cleared er cent.; how much was it sold under its real value ? £. £. s. d.

£ f. s. d. s 85 : 17 1 5 : : 100 : 20.1 & the prime cost. 100 : 20 18 :: 120 : 24 20 the real value.

Sold for 17 1 5

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£7 0 7 Answer.

FELLOWSHIP, rule by which the accompts of several merchants or persons, trading in partnership, are so adjusted, ach may have his share of the gain, or sustain his of the loss, in proportion to his share of the joint -Also by this Rule a bankrupt's estate may be diamong his ereditors, &e.

SINGLE FELLOWSHIP, hen the several shares of stock are continued in an equal term of time.

RULE. he whole stock is to the whole gain or loss : so is an's particular stock, to his particular share of the loss.

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Proor.--Add all the particular shares of the gai loss together, and if it be right, the sum will be equa the whole gain or loss.

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EXAMPLES
1. Two partners, A and B. join their stock and bu
quantity of merchandize, to the amount of 820 dolla
in the purchase of which A laid out $50 dollars, and
470 dollars ; the commodity being sold, they find t
clear gain amounts to 250 dollars. What is each F
son's share of the gain?

A put in 350
B 470

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As 820 : 250 : :

$ $50 : 106,7073+ A's sha 470 : 145,2926+B's sua

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Proof 249,9999 +=$250 2. Three merchants make a joint stock of 12001. which A put in 2401. B 360l. and C 600l.; and by tradi they gain 325l. what is each one's part of the gain ?

jus. A's part £65, B's £97 10s. C's £ 162 10s. 3. Three partners, A, B, and C, shipped 108 mules f the West-Indies; of which A owned 48, B 36, and C 2 But in stress of weather, the mariners were obliged throw 45 of them overboard ; I demand how much of tl loss each owner must sustain ?

Ans. A 20, B 15, C 10. 4. Four men traded with a stock of 800 dollars, b which they gained 307 dols. A's stock was 140 dols. B 260 dols. C's 800 dols. I demand D's stock and whe each man gained by trading ?

Ans. D's stock was 8100, and A gained $53, 72cts 511 B $99,77 Acts. C 8115, 12:cts, and I Sai, 57cts.

5. A bankrupt is indebted to A 2111. to 300l and t C 3911. and his whole estate amounts only to 675l. 10 which he gives up to these creditors ; how much must eac have in proportion to his debt ?

Ans. A must have £ 158 05753d. B & 224 13$, 41d. am C£292 16s. 31d.

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6. A captain, mate and 20 scamen. 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 450l. of which A is to have 3 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 £669, B £136, and C. £5400 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 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. Cput in the cloth at $2} per yard. A gained

$46, 66:ts. 6m. + and B 885, 33cts. 391.ti

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 tne ime it was
continued in trade: then.

As the sum of the severa, products,
Is to the whole gain or loss ;
Twi is each man's particuar product,
To his particular share of the gain 01.089.

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they pay

EXAMPLES 1. A, B and C hold a pasture in common, for which

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?

£e. S. d. 8X 6= 48

48 : S 3. 4 A's pt 12x 8= 96

96 : 6 6 8 B's 12x19=144 As 288 · 191. : : 144 : 9 10 O C's

Sum 288

Proof 1900 2. Two merchants traded in company; A put iņ 215 duls. for 6 months, and B 390 dols. for 9 months, but, by misfortune they lose 200 dols. ; how must they share the loss ?

Aus. A's loss 853, 15cts. B's 8148, 25cts. 3. Three persons had receired 663 dels interest: A had 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 8240, B $225 and C 8200 4. Two partners gained by trading 1101. 12s.: A's stock was 1201. 10s. for 4 months, and B's 2001. for 63 months ; what is each wan's part of the gain ? Ans. As part 4 29 18s. S d.119. B's £,80 135.81d. 142.

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 'n

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 ?

S8324, 07 4+'s share.
Ans.

$375, 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 of May; what did he then put in to have an equal share with 'A at the year's end ? No. $

Mo.
As 12 : 1000 ::8: 1000 X 1:2=1500 Ans.

40

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DOUBLE RULE OF THREE. THIS Rule teaches to resolve at once such questions as require two or more statings in simple proportioil

, whether direct or inverse.

In this rule there are always five terms given to find a sixth ; the three first terms of which are a supposition, the two last a demand.

RULE. In stating the question, place the terms of the supposition so that the principal cause of loss, gain or action possess the first place; that which signifies time, distance of place, &c. in the second place; and the remaing term In the third place. Place the terms of demand, under those of the same kind in the supposition. If the blank place or term sought, fall under the third term, the pro proportion is direct, then multiply the first and second terms together for a divisor, and the other three for a dividend : but if the blank fall under the first or second term, the proportion is inverse; then multiply the third and fourth térms together for a divisor, and the other three for a dividend, and the quotient will be the answer,

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EXAMPLES.

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1. If 7 men can build 36 rods of wall in 3 days; how many rods can 20 men build in 14 days?

7:3; 36 Terns of supposition. 20 : 14 Terms of demand

36

1

84 42

504

20

7x3=21)10080(480 rods. Ans. 2. If 100l. principal will gain ôl. interest in 12 months, what will 4001. gain in 7 months ? Principal 1001. : 12mo. : : 61. Int. 400 : 7

Ans. 144

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