4. How many yards of Canvas, at 11d. per yard, must be given for 8 Cwt. 3 qr. 17 lb. of Raisins, at £4. 13s. 9d. per Cwt.?

5. What quantity of Pepper, at 144d. 275 lb. of Ginger, at 3s. 7d. per lb. ?

Answer, 9101 yards.

per lb., must be given for Answer. 7 Cwt. 1 qr. 17 lb.

6. D has 105 gallons of Brandy, at 15s. 10d. per gallon, for which he received of E £32. 16s., and 450 lb. of Sugar: what was the Sugar per lb.? Answer, 2s. 2d. #

7. What quantity of Snuff, at 4s. 9d. per lb., must be given in barter for 3 Cwt. 1 qr. 17 lb. of Tobacco, at £7. 5s 8d. per Cwt.?

Answer, 104 lb.

GAIN AND LOSS.

This Rule teaches to calculate what is gained or lost in the merchandise of goods, and instructs the trader to regulate the price of his goods, so that he may gain or lose so much per Cent.

Example.

If cloth is bought at 7s. 6d., and being damaged, sold at 6s. 24d., what is the loss per Cent.?

Bought 12 Cwt. 2 qrs. 13 lb. of Sugar for £44. 3s. 1d.; at what rate must it be sold per lb. to gain £25 per Cent.?

1. If Cheese is bought at £3. 14s. 8d. per Cwt., and sold at 10d. per lb., what is gained per lb. ?

Answer, 21 d.

2. Bought 175 yards of Cloth at 5s. 4d. per yard, and sold them again at 7s. 6d. per yard: what was the gain on the whole?

Answer, £18. 19s. 2d.

3. A merchant bought a quantity of Tobacco at 17 d. per lb. ; but not proving so good as he expected, sold it at 13 d. per lb.: what was his loss per Cent.? Answer, £21. 8s. 6d.

4. If Raisins are bought at 15d. per lb., at what rate must they be sold to gain £25 per Cent.? Answer, 18 d.

5. If when Cloth is sold at 8s. 9d. per yard, I gain 12 per Cent., what would be the gain per Cent., if sold for 10s. 6d. per yard?

Answer, £34. 8s.

6. Sold 238 yards of Cloth at 4s. 7d. per yard, by which I gained £30 per Cent.: what did I gain in the whole ?

Answer, £16. 7s. 3d.

7. Suppose Coffee is bought at 2s. 9d. per lb., at what rate must it be sold to gain £15 per Cent.? Answer, 3s. 1d.

8. Sold 12 Cwt. of Sugar for £43. 15s., and gained £20 per Cent. : what was the prime cost? Answer, £36. 9s. 2d.

9. If I buy Tobacco at 10 guineas per Cwt., at what rate must I retail it, per lb., to gain £12 per Cent.? Answer, 2s. 1d.

DUODECIMALS,

Or Cross Multiplication, is a Rule used by workmen and artificers in calculating the content of their work, the length and breadth being given in feet, inches, &c. It is performed by the following Table :—

* NOTE. Feet multiplied into feet; give feet.

Feet multiplied into inches, give inches.
Feet multiplied into seconds, give seconds.
Inches multiplied into inches, give seconds.
Inches multiplied into seconds, give thirds.
Seconds multiplied into seconds, give fourths.

8. What is the price of a marble slab, whose length is 5 ft. 7 in., and breadth 1 ft. 10 in., at 6s. per foot?

Answer, £3. 1s. 5d.

9. What will the paving of a court-yard come to at 1s. 2d. per ft. the yard being 74 feet long, and 56 ft. 8 in. wide?

Answer, £244. 12s. 2d. 10. What is the charge for a piece of wainscoting at 6s. 74d. per square yard, which measures 8 ft. 3 in. by 6 feet. 6 in. ?

Answer, £1. 19s. 5 d.

11. Required the solid content of a log of timber 36 ft. 6 in. long,

3 ft. 4 in. 2" broad, and 1 ft. 11 in. 3" thick?

Answer, 236 ft. 8 in. 6".

COMPOUND INTEREST

Is that which is produced not only from the Principal lent, but also from the Interest, which is added to the Principal as it becomes due, making an increased Principal for each succeeding payment.

Example.

What is the compound interest of £700. 18s. for 4 years, at £5 per Cent. per annum?

1. What is the compound interest of £500 for 3 years, at £4 per Cent. per annum?

Answer, £62. 8s. 7 d. 2. What is the amount of £725 for 2 years, at £5 per Cent. per Answer, £820. 5s. 4 d. 3. What is the compound interest of £387. 15s. for 21 years, at £4 per Cent. per annum, interest payable quarterly?

annum, interest payable half-yearly?

Answer, £35. 16s. 7 d.