5. Divide 258.4gal. of molasses among 19 men, and tell how much each will receive.

6. A railway train went 103m. 7fur. in 4.5 hours. What was the rate per hour?

7. The horses in a livery stable ate 42bu. 3pk. 6qt. of oats in 39 days. What quantity was used daily? 8. How many bins, holding 48bu. 7qt. each, can be filled from 197bu. 3pk. of oats? Reduce both to quarts.

9. In 47 boxes, there are 4T. 18cwt. 3qr. of sugar. How much is there in each box?

10. If 31 pounds of indigo cost £19 14s., what is the price per pound?

11. Divide 14 73 33 by 17.

12. A farm of 41A. 3R. was divided into 33 lots of equal size. How much did each lot contain?

13. If 19 logs of hewn timber measure 21 T. 39c.ft., what does each log measure?

14. Divide 3 Y. 360dy. into 23 equal parts.

15. If 25 barrels of flour hold 2T. 8cwt. 3qr. what does 1 barrel hold? How many pounds?

16. Divide 7m. 7fur. 4yd. 11in. by 51.

17. Divide £380 16s. 3d. by 44.

18. Divide 187 chal. 43bu. 1pk. by 57.
19. Divide 221.47gal. of wine by 42.
20. Divide 29yd. by 79.

21. Divide £37.9461 by 40, and reduce the quotient to shillings, pence, &c.

22. Divide 45.97 days by 3.2, and reduce the quotient to days, hours, &c.

23. Divide 49.775cwt. by 5.83, and reduce the quotient to cut,. qr., &c.

CHAPTER VII.

PER CENTAGE.

INSURANCE against fire or other injury, INTEREST for the use of money, &c., are generally estimated at a certain number of hundredths, called the rate per cent. (from the Latin per centum, signifying by the hundred.) Thus, 1 per cent. is .01; per cent. is .06; 51⁄2 per cent. is .05 or .055; 74 per cent. is .074 or .0725; and so on.

EXAMPLE FOR THE BOARD.

A merchant insured his warehouse for $11390.75, paying a premium of 2 per cent. for the insurance. How much did he pay?

11390.75

Multiplying by the rate per cent, we find that .02 he must pay $227.815.

227.8150

1. What must I pay to insure a house worth $2250.00, at a premium of .015?

2. What is 2 per cent. of $169.00?

3. What is 3 per cent. of $2081.50? 4. What is 5 per cent. of $1873.46 ?

5. What is 7 per cent. of $4009.81 ?

6. A railroad corporation declared a dividend of 6 per cent. on its stock. What was the dividend on $7630.00.

7. What is 9 per cent. of $641.00? If then, a merchant buys flour for $641.00, for how much must he sell it, to gain 9 per cent.?

How

8. If I buy 11 tons of hay for $127.00, for how much must I sell the whole, to gain 15 per cent.? much per ton?

At

9. A butcher bought 28 beeves for $829.00. how much must he sell them apiece, to gain 18 per cent.?

10. A man invested $1491.87, which was all his property, in a partnership, and he gained 21 per cent. the first year. What was he worth at the end of the year?

11. What is 1 per cent. of $2981.00? 1 per cent?

12. What is 5 per cent. of $1430.00?

per cent.?

13. What is per cent. of $963.00? 13 per cent.? 14. What is 33 per cent. of $4221.00?

15. What is per cent. of $8772.00? 16. What is 6 per cent. of $2180.00?

17. A bankrupt was able to pay only 72 per cent. of what he owed. How much would he pay on a debt of $1628.25?

INTEREST.

INTEREST, is an allowance of a certain per cent. for the use of borrowed money. The Principal, is the amount on which interest is paid. The Rate, is the per centage agreed upon for one year's interest. The Amount is the sum of principal and interest.

1. What is the interest of $28.00 for 1 year, at 6 per cent.? In other words, what is 6 per cent. of $28.00?

2. What is the interest of $75.00 for 1 year, at 5 per cent.? What for 2 years? 3 years? 4 years?

3. What is the interest of $127.00 for 2 years, at 6 per cent.? What is the amount?

4. What is the interest of $229.50 for 4 years, at 7 per cent? What is the amount?

5. What is the interest of $1291.00 for 8 years, at 5 per cent? What is the amount?

EXAMPLE FOR THE BOARD.

When the rate is 6 per cent. for 1 year, what will be the rate for 3 years 6 months and 13 days? Then what is the interest of $287.00 for 3yr. 6mo. 13dy. at 6 pr. ct.?

310) 1.3.00 days.
12) 6.433 mo.

3.536 years.
.06

.21216 rate.
287.00

1.48512

16.9728

42.432

60.88992

We first reduce the months and days to the decimal of a year. This is done by annexing decimal Os to the days, and dividing by 30. We thus obtain .433mo. for the value of 13dy., or 6.433mo. for 6mo. 13dy. Dividing the months by 12, we obtain .536yr., equal to 6mo. 13dy., or 3.536 years, equal to 3yr. 6mo. 13dy. Then, if the rate for lyr. is .06, the rate for 3.536 years will be .21216. Multiplying $287.00 by this rate, we obtain $60.889 for the interest required.

6. When interest is 6 per cent. a year, what will be the rate for 2yr. 6mo.? What is the interest of $72.00 for 2yr. 6mo., at 6 per cent.?

7. When interest is 5 per cent. a year, what is the rate for 3yr. 4mo. 12dy.? What is the interest of $250.00 for 3yr. 4mo. 12dy., at 5 per cent.?

8. What is the interest of $63.00 for 4yr. 8mo. 6dy., at 7 per cent.? What is the amount?

9. What is the interest of $121.00 for 4yr. 2mo., at 5 per cent.? What is the amount?

10. What is the interest of $47.50 for 5yr. 24dy., at 5 per cent.? What is the amount?

11. What is the interest of $175.00 for 5yr. 9mo., at 6 per cent.? What is the amount?

12. What is the interest of $875.00 for 7yr. 6mo. 18dy., at 6 per cent.? What is the amount?

13. What is the interest of $1100.00 for 3yr. 3mo. 9dy., at 7 per cent.? What is the amount?

14. What is the interest of $125.00 for 6mo. 9dy., at 8 per cent.? What is the amount?

15. What is the interest of $999.00 for 10mo. 27dy., at 6 per cent.? What is the amount?

16. What is the interest of $25.00 for 11mo. 18dy., at 6 per cent.? What is the amount?

17. What is the amount of $375.00 for 9yr. 6mo., at 6 per cent.?

18. What is the amount of $625.00 for 8yr. 9mo., at 7 per cent.?

19. What is the amount of $1456.00 for 19dy., at 6 per cent.?

9

20. What is the amount of $799.00 for 24dy., at cent?

per

EXAMPLE FOR THE BOARD.

Find the interest of $4632.25, for 3yr. 7mo. 21dy., at 6 per

When the rate is .06 for lyr. or 12 months, it will be .03 for 6 months, .12 for 24 months; and generally, half as many hundredths as there are months. Then, for 1mo. or 30dy., the rate would be of .01 or .005; for as

of a month, or 6 days, it would be .001, and generally many thousandths as are equivalent to the number of days. Hence the following rule to find the rate for any given time at .06 per annum. Call the years and months reduced to months, so many hundredths, and call the days so many thousandths. Divide the hundredths by 2, and the thousandths by 6, and the sum of the two quotients will be the rate required.

21. What is the interest of $2984.00 for 2yr. 8mo. 27dy., at 6 per cent.?

22. What is the interest of $1449.00 for 3yr. 7mo. 21dy., at 6 per cent.?

23. What is the interest of $9999.00 for 5yr. 11mo. 3dy., at 6 per cent.?

24. What is the interest of $5000.00 for 7yr. 10mo. 6dy., at 6 per cent.?