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114)1536 (137 Ans. 2011; 1333 40%.

114

396

342

54

3. Suppofe A has 350 yards of linen at 15. 4d per yard, which he would truck with B for sugar, at 25s. 6d. per Cut, How much fugar will the linen come to?

Crot. gr. fb.
I 53.

Anf. 18

3

4. A has broadcloth, at £12 10s, per piece, and B has mace, at 8s. per f. How many pounds of mace muft B give A, for 35 pieces of cloth ? Auf. 10934tb.

5. A has 7 Crt. of fugar, at 8d. per ft, for which B gave him 12 Crut. of flour; What was the flour rated at per It?

CASE II.

Anf. 4d.

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

RULE. Find the feparate values of the two given commodities; fubtract the lefs from the greater, and the difference will be the amount of the third commodity, whofe quantity and rate may be eafily found.

Ex A M

XAMPLE S.

1. Two merchants barter; A has 30 Cwt. of cheese, at 235. 6d. per Cut. and B has 4 pieces of broadcloth, at £3 155. per piece; Which muft receive money? And how much? Anf. B must pay A1 10s.

2. A and B would barter; A has 150 bushels of wheat at 5s. 9d. per bufhel; for which B gives 65 bushels of barley, worth 2s 10d. per bushel, and the balance in oats, at 25. 1d. per bufhel ;-What quantity of oats muft A receive from B ? Anf. 325 bufhels."

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

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EXAMP LE S.

1. A has ribbands at ts. 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 muft B value his cloth per yard, to be equivalent to A's bartering price? And how many yards of ribband, at 25. 3d. per yard, must then be given by A for 488 yards of B's broadcloth?

Anf. B's broadcloth at £1 16s. 6d. per yard-7930 yards of ribband

2. A and B barter; A has 150 gallons of brandy at 75. 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?

Anf. Barter price is 35. rod. and he muft give A 310 yds. 3qr. 3n.

3. P and Q barter. P has linen at 3s. 7d. per yard; but in barter will have 3s. 10d. Q delivers him broadcloth at 116s. 6d. per yard, worth only £113. per yard: Pray, which has the advantage in barter? And how much linen does P give Q, for 148 yards of broadcloth?

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As 1366 148: 5402 price of the broadcloth. As 3/10 1yd. : 5402s.: 1409 yds. of linen.-Q has the advantage; for, as 3/7: 3/10: 335 35/347 his proportional price.

4. A has 200 yards of linen, at rs. 6d. ready money per yard, which he barters with B, at 1s. 9d. per yard, taking buttons at 7id. per grofs, which are worth but S--How many grofs of buttons will pay for the:

linen 2

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

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d. Grofs.

d. Grofs.

4200 : 560.

As I 21 :: 200: 4200. As 71: 1:
Xd. d. rds. £.

As I 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 of A.

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As 14: 1 :: 100: 7 25. 10d. per cent.

LOSS and GAIN

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

CASE I.

To know what is gained or loft per cent.

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.

RULE. First fee what the gain or lofs is, by Subtraction; then, As the price it coft, is to the gain or lofs; fo is 100 to the gain or lofs per cent.

EXAMPLES.

8d.

I. If I buy ferge at 5s. per yard, and fell it again, at 55. per yard; What do I gain per cent. or in laying out £100?

s. d.

Sold for

5

8.

[See process next page.]

Coft 50

8d. gain per yard.

N. B. The firft queftions in the feveral Cafes, ferve

to elucidate each other.

Acs

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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 £ICO?

s. d.

200

180

20. 20

s. a. 760)400(6.

15 3

d. d. £. £.

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8 As 68: 8 :: 100 : 11

fold for 5 0

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360

8d. Lofs per yd.

40 12

60)480 (8 480

Anf. £13 6/8

3. If I buy a Cut. of tobacco for £9 6/8, and fell it again at Is. 1od, per t, do I gain or lofe? And what per cent. ?

1

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5. d.

Sold for 10 5. 4

Coft 9 6 8

£. s. £o 18 8 gained in the grofs.

| 2d. | 72 |1 1

£. s.

4 value at 25. per fb.

O 18 8 value at 2d. per ft.

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As 9 6 8

£.

18 8 :: 100: 10 :

Anf. £10 per cent.

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