4. A draper bought 200 yards of broad cloth, for which he gave 1121.; I defire to know how he must fell it per yard to gain 381. by the whole ?

Anf. 15s. 5. If 2 cwts. 1qr. 18lbs. be bought for 231. 178. 8d.; at what rate per lb. fhall I fell it, to lofe 9 guineas by the whole? Anf. is. old.

To find the gain or lofs per cent. on any quantity of goods.

R U L E.

If the prime coft is given,-ftate, as the prime coft of any quantity of goods is to the gain or loss on that quantity: fo are 100 pounds to the gain or lofs per cent. And, if two felling prices are given,-ftate,as the price whofe gain per cent. is given: is to the fum of 100 pounds and its gain, or the difference between 100 pounds and its lofs : : fo is the other price given: to the value of 100 pounds worth of goods at that price. Then deduct 100 pounds from that value, and the remainder will be the answer.

E

XAMPLES.

1. Bought cloth at 38. per yard, and fold it at 48. 2d. per yard; what is the gain per cent.?

3. d. £.

As 3: 1

12

.2 : 100

20

3

10s. per cent. by felling cloth at what would I gain per cent. by

2. If I gain 61. 158. 9d. per yard; felling the fame at 18s. 6d. per yard?

3. If I buy tea at 8s. 6d. per lb. and sell it again at Ios. 6d. per Ib.; what is the gain per cent.?. Anf. 231. 10s. 7 d.

4. By felling at 4d. per lb. I gain 10 per cent.; what do I gain or lofe per cent. by felling at 3 per lb. Anf. I lofe 31. 15s. per cent.

5. What do I lofe per cent. when I lofe 24d. in a fhilling. Anf. 201. 16s. 8d. 6. Bought goods at 41d. per lb. and fold them at 21. 88. 4d. per cwt.; what gain do 1 make per cent. ? Anf. 151. 18. 7 d.

7. If, when I fell cloth at 78. per yard, 1 gain 10 per cent.; what is the gain or lofs per cent. when it is fold at 6s. per yard? Anf. 51. 148. 3 d. lofs.

8. What do I gain or lofe per cent. by felling goods at 24d. per lb. which coft me 12s. 8d. per cwt. and 1s. 8d. per cwt. carriage, alfo 10 d. per cwt. for warehouse room? Anf. 381. Is. 7 d.

9. If I fell 500 deals at 15d. each, and 9 per cent. lofs; what do I lose by the whole quantity? Anf. 31. 18. 9 Tid.

10. Bought 20 gallons of brandy at 3s. per gallon, but by accident 3 gallons of it are loft; at what rate muft I fell the remainder per gallon, and gain upon whole prime coft, at the rate of 10 per cent?

CASE IV.

the

Anf. 38. 101d.

To find the prime coft of any quantity of goods.

Calculate the whole gain or loss, by the rules already given, and then add the gain to, or fubtract the lofs from, the felling price, and the fum or difference will be the anfwer.

EXAMPLES.

1. I fold 60 yards of cloth for 451. 2s. and gained 10 per cent. by fo doing. What was the prime coft of the cloth per yard?

2. If 12 yards of cloth be fold for 51. 143. and 8 per cent. be gained by fo doing; what was the prime coft of a yard? Anf. 8s. 9 d.

3. I fold fugar at 31. 158. per cwt. and by fo doing I loft 51. 10s. a ton; what did one cwt. coft me? Anf. 41. os. 6d.

4. Sold a repeating watch for 50 guineas, and by fo doing loft 17 per cent. whereas I ought in dealing to have cleared 20 per cent.; how much was it fold under its juft value? Anf. 231. 8s. Od.

5. Sold a quantity of hops for 211. 15s. more than they coft me, fo that my gain was 25 per cent.; what was the prime cost of the hops?

Anf. 871.

ALLIGATION.

ALLIGATION teacheth how to mix feveral fimples of different qualities together, fo that the compound may be of a middle quality, and is of two kinds alligation medial, and alligation alternate.

ALLIGATION

MEDIAL.

ALLIGATION medial is when the price and quantity of feveral commodities are given, to find the mean price of a mixture made up of them all.

R U L E.

Multiply each quantity by its price; then divide the fum of the products by the fum of the quantities, and the quotient will be the answer.

PR O O F.

Find the value of the whole mixture at the mean price, and if it agrees with the total value of the several quantities, at their respective prices, the work is right.

1.

A

grocer mixed 2 cwts. of fugar, at 56s. per cwt., with 1 cwt. at 438. per cwt., and 2 cwts. at 50s. per cwt.; what is a cwt. of this mixture worth?