114) 1536 (134 Ans. 2011b. 1311403.

114

396

342

54

3. Suppose A has 350 yards of linen at Is. 4d. per yard, which he would truck with B for fugar at 25s. 6d. per Cwt.; how much sugar will the linen come to?

Cwt. qr. lb

Ans. 18

J

2

53

A has broadcloth, at ₤12 10s. per piece, and B has mace, at 8s. per lb.; how many pounds of mace must B give A for 35 pieces of cloth? Anf. 109341b. 5. A has 74 Cwt. of fugar, at 8d. per lb. for which B gave him 12 Cwt. of flour; what was the flour rated at per lb. ? Anf. 44d.

CASE II.

If the quantities of two commodities be given, and the rate of felling them, to find, in case of inequality, how much of fonre other commodity must be given.

RULE. Find the separate values of the two given commodities; fubtract the less from the greater, and the difference will be the amount of the third commodity, whose quantity and rate may be easily found.

EXAMPLES.

1. Two merchants barter; A has 30 Cwt. of cheese, at 13s. 6d. per Cwt. and B has 4 pieces of broadcloth, at 31. 15s. per piece; which must receive money? and, how much? Anf. B must pay A 11. 10s...

2. A and B would barter; A has 150 bushels of wheat at 5s. 9d. per bushel; for which B gives 65 bushels of barley, worth 23. Iod. per bushel, and the balance in oats, at 2s. Id. per bushel; what quantity of oats must A receive from B? Ans. 325 buhels.

CASE III.

Sometimes, in bartering, one commodity is rated above the ready money price; then to find the bartering price of the other, say, As the ready money price of the one is to its bartering price, so is that of the other, to its barter. ing price: Next find the quantity required, according to either the bartering or ready money price.

A A 2

EXAMPLES.

EXAMPLES.

1. A has ribbands at 2s. per yard ready money; but in barter he will have 2s. 3d. B has broadcloth at 32s. 6d. per yard, ready money: At what rate must B value his cloth per yard, to be equivalent to A's bartering price? and how many yards of ribband, at 2s. 3d per yard, must then be given by A for 488 yards of B's broadcloth?

Anf. B's broadcloth at 11. 16s. 6d. per yard-7930 yards of ribband.

2. A and B barter; A has 150 gallons of brandy at 7s. 3d per gallon ready money; but in barter he will have 8s. per gallon : B has linen at 3s. 6d. per yard ready money; how muft B fell his linen per yard, in proportion to A's bartering price? and how many yards are equal to A's brandy ?

Ans. Barter price is 3s. totd. and he must give A 311 yards 3qr 3n.

3. P. and Q barter; P has linen at 3s 7d. per yard; but in barter will have 3s. tod Q delivers him broadcloth at 1. 16s. 6d per yard, worth only 11. 13s. per yard; pray, which has the advantage in barter? and how much linen does P give Q for 148 yards of broadcloth ?

5

As 1: 36/6 :: 148 : 5402 price of the broadcloth. As 3/10: 1yd. :: 5402s.: 14092yds. of linen. - Q has the advantage; for, as 3/7: 3/10:: 335: 35/343 his proportional price.

4. A has 200 yards of linen, at 1s. 6d ready money per yard, which he barters with Bat is. 9d. per yard, taking buttons at 7 d. per gross, which are worth but ed; how many gross of buttons will pay for the linen ?

linen? who gets the best bargain, and by how much, both in the whole and per cent ?

Yd. d. Yds. d.

d. Gross. d. Gross.

As I : 21 :: 200: 4200. As 7: 1 :: 4200 : 560.

Yd. d. Yds. £.

As 1 : 18 :: 200 : 15 value of A's linen.

Gr. d. Gr.

As 2:6:: 560 : 14 value of B's goods. So that B gained 11. of A.

As 14:1::100: 7 25. Iod. per cent.

LOSS AND GAIN

Is an excellent rule, by which merchants and traders discover their profit, or lofs, per cent. or by the grofs : It alfo instructs them to raise or fall the price of their goods, so as to gain or lose so much per cent. &c.

CASE I.

To know what is gained or loft per cent.

RULE. First see what the gain or loss is, by Subtraction; then, As the price it cost, is to the gain or loss; so is 100l. to the gain or lofs per cent.

EXAMPLES.

1. If I buy ferge at 5s. per yard, and sell it again, at 5s. 8d. per yard; what do I gain per cent. or in laying out 1001. ?

s. d.

Sold for 5 8

[See process next page.]

Cost 50

8d. gain per yard.

N. B. The first questions in the several Cases, ferve

to elucidate each other.

As

2. If I buy ferge at 5/8 per yard, and fell it again at 5s. per yard what do I lose per cent. or in laying out 100l. ?

s. d.

200

180

20

20

d. d. L. L. s. d.760)400(6

Cost 5 8 As 68 : 8 :: 100:11 15 34 fold for 50

8d. Lofs per yard.

(Ans.

360

40

12

60)480(8 480

Anf. 131. 6/8.

3. If I buy a Cwt. of tobacco for 91. 6/8, and fell it again at Is. rod. per lb. do I gain or lose ? and what per cent. ?

Sold for 10 5 4
Coft 968

1.3. £0 18 8 gained in the grofs

12.11 4 value at 2s. per lb.

0 18 8 value at 2d. per lb.

10 5 4 value at is rod. per lb.

£. s. d. s. d.

As 968: 188 :: 100: 10 Anf. 101. per cent.

A