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7. At 25 cts. profit in a dollar, how 12.0 in per cent. ?
Ans. 25 per cent. Note.- When goods are bought or sold on credit
6 must calculate (by discount) the present worth of their price, in order to find your true gain or loss, &c.
ki bi EXAMPLES, 1. Bought 164 yards of broadcloth, at 14s. 6d. per yard styi 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?
VV £. £.
plat As 103 : 100 : : 154 10 : 150 O present worth.
Rul 118 18 priima cost.
Gained £31 Ansoer. 2. If I buy cloth at 4 dols. 16 ct;. per yard, on eight 1; months credit
, and sell it again at 3 dols. 90 cts. per yd. od 1 ready money, what do I lose per cent. allowing 6 per cent discount on the purchase price?
Ans. 2; per
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 1001. or 106 Fun dollars, with the profit added, or loss subtracted : to the selling
EXAMPLES. 1. If I buy Irish linen at 2s. 3d. per yard; how must 1 what sell it per yard to gain 25 per cent. ?
As 100l. : 2s. 3d. : : 1251. to 2s. 9d. 3 qrs. Ans. 2. If I buy rum at 1 dol. 5 cts. per gallon; how must ]
V. sell it per gallon to gain 30 per cent. ?
As $100 : $1,05 : : $130 : $1,361 cts. Ans. 3. If tea cost 54 cts. per lb.; how must it be sold per lly
RU 10 lose 121 per cent. ?
perc As $100 : 54 cts. : : $87, 50 cts. : 47 cts. 24 m. Ans.
the 4. Bought cloth at 17s. 6d. per yard, which not proving N $0 good as I expected, I am obliged to lose 15 per cent. bos it; how must I sell it per yard ? Ans. 14s. 1010 that
6. If 11 cwt. 1 qr. 25 lb. of sugar cost 126 dols. 50 cto. -ext 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 lò gallons leaked out; at what rate must I
sell the remainder per gallon to gain upon the whole prime are cost, at the rate of 12; per cent. ? Ans. $1, 51 cts. 81.n.
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.
1. If a yard of cloth be sold at 14s. 7d. and there is gained 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 lose at the rate of 20 per cent. ; what is the prime cost of said cloth per yard ?
Ans. $4, 06 cts. 2 m. 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.
felhe 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 hs. per yd. ? £
£. As 5 : 15::6: 138 Ans. gained 38 per cent. 2. If I retail rum at 1 dollar 50 cents per gallon, and in the thereby gain 25 per cent. what shall I gain or lose per ceatsella if I sell it at 1 dol. 8 cts. per gallon?
$ cts. $ * cts. 1,50: 125::1,08 : 90 Ans. I shall lose 10 per cent. d 3. If I sell a cwt. of sugar for 8 dollars, and thereby B ose 12 per cent. what shall I gain or lose per cent. if I sell 4 cwt. of the sanie sugar for 30 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 ouglit 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 1 8 the prime cost. hey 100 : 20 1 8 : : 120 : 24 2 O the real value. Sold for 17 1 5
the £7 07 Answer.
4. IS a rule by which the accounts of several merchants or other persons trading in partnership, are so adjusted, whit
B's 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
A vided among his creditors, &c.
5 SINGLE FELLOWSHIP, Is when the several shares of stock are continued in
wb trade an equal term of time.
RULF.--As the whole stock is to the whole gain or loss : so is each nan's particular stock, to his particular share of the gain or loss.
PROOF.--Add all the particular sharos of the gain or loss topether, 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 ; alles in the purchase of which A laid out 350 dollars, and B 476
dollars; the commodity being sold, they find their clear
A put in 350
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 3601. and C. 6001. ; and by trading hey 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; Į 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'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, 37} cts.
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. 3 d. 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
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 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 certain sum, B as much again as A, and three times as much as B. I demand each man's part?
Ans. A £66), B £133), 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 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 cach man's stock, or share, by the timo it was eontinued in trade : then,
As the sum of the several products, .