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2. What is the neat weight of 17 chests of sugar, weighing 120 cwt. 2 qrs. gross ;-tare 176 lb.-tret 4 lb. per 104 lb. ? Ans. 12808 lb. or 114 cwt. 1qr. 12 Ib. 3. What is the neat weight of 5 hogsheads of sugar, each 10 cwt. 1 qr. 20 lb. gross ;-tare 3 qrs. 25 lb. per hhd. tret 4 lb. per 104 lb.? Ans. 45 cwt. 1 qr. 24 lb.

APPLICATION.

1. What is the value of 24 hogsheads of tobacco, at 1 L. 10s. 6 d. per cwt.; each hogshead weighing 6 cwt. qrs. 17 lb. gross;-tare in all 17 cwt. 3 qrs. 27 lb.? Ans. 216 L. 08. 41d.

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2. Bought 5 bags of coffee at 25 cts. per lb. each bag weighing 95 lb. gross ;-tare in the whole 10 lb. what is the amount? Ans. $116.25. 3. What is the amount of 30 casks of raisins, at $7.35 per cwt.; each cask weighing 2 cwt. 3 qrs. 12 lb. gross; -tare 21 lb. per cask? Ans. $588.65.

4. What is the value of 10 casks of allum, at 23s. 4d. per cwt; the whole weighing 33 cwt. 2 qrs. 15 lb. gross ; -tare 15 lb. per cask? Ans. 37 L. 13s. 61d.

5. Sold 12 butts of currants, at $9.20 per cwt. each butt weighing 7 cwt. 1 qr. 10 lb. gross;-tare 16 lb. per cwt. what is the amount? Ans. 8694.513. 6. What is the amount of 8 hogsheads of sugar, at 72s. 6d. per cwt. each hogshead weighing 8 cwt. 3 qrs. 7 lb. gross-tare 12 lb. per cwt.? Ans. 228 L. 3s. 7 d.

SIMPLE INTEREST.

Interest is à consideration allowed for the use of money; relative to which are four particulars, viz.

First. The principal, or sum at use.
Second. The time the principal is at use.

Third. The rate per cent. or interest of 100 pounds, or dollars, for one year.

Fourth. The amount, which is the sum of the principal and interest.

CASE 1.

When the time is one year, and the rate per cent. is pounds or dollars only.

RULE.*

Multiply the principal by the rate per cent. and divide the product by 100.

PROOF.

By the Single Rule of Three.

EXAMPLES.

1. What is the interest of 525 L. for 1 year, at 6L. per cent. per annum?

Ans. 31 L. 10s. 2. What is the interest of 650L. 15s. for 1 year, at 6 L. per cent. per annum?

(1)

(2)

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This rule agrees with the Single Rule of Three, except that the

stating required by that rule is omitted in this.

3. What is the interest of 500L. for one year, at 6L. per cent. per annum?

Ans. 30L. 4. What is the interest of 1000L. for one year, at 7L. per cent. per annum? Ans. 70L. 5. What is the interest of 350L. 17s. 8d. for one year, at 6L. per cent. per annum? Ans. 21L. 1s. old. 6. What is the interest of 220L. for one year, at 4L. per cent. per annum? Ans. 8L. 16s. 7. What is the interest of 76L. for one year, at 5L. per cent. per annum?"

Ans. 3L. 16s.

Ans.

for one year, 13L. 10s. 6d.

8. What is the interest of 270L. 10s. 6d. at 5L. per cent. per annum?

9. What is the interest of 542 dollars for one year, at

6 dollars per cent. per annum?

Ans. $32.52.

542

6

$32.52

10. What is the interest of 756 dollars for one year, at 7 dollars per cent. per annum?

5 dollars per cent. per annum?

Ans. $52.92.

11. What is the interest of 600 dollars for one year, at Ans. $30.00. 12. What is the interest of $438.25 for one year, at 6 dollars per cent. per annum?

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Ans. 26 dols. 29 cts. 5m. or $26.291.

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13. What is the interest of $322.71 for one year, at 5 dollars per cent. per annum? Ans. $16.131. 14. What is the interest of $75.95 for one year, at 7 dollars per cent. per annum ? Ans. $5.13+

Note. When the amount is required, add the principal to the interest.

15. What is the amount of 173L. 17s. 8d. for one year, at 7L. per cent. per annum? Ans. 186L. 1s. 1d.

16. What is the amount of a bond, for 756 dollars, for one year, at 6 dollars per cent. per annum? Ans. $801.36.

CASE 2.

3

When there is a fraction, as 1,1,2, &c. in the rate per

cent.

RULE.

Multiply the principal by the pounds or dollars of the rate per cent.; to the product add 1, 4, or 3, &c. of said principal, and divide the result by 100, as in the foregoing

case.

EXAMPLES.

1. What is the interest of 432L. 10s. for one year, at 51L. per cent. per annum? Ans. 23L. 15s. 9d. 2. What is the interest of 428 dollars for one year, at 61 dollars per cent. per annum?

(1)

Ans. $26.75.

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5 L. per cent. per annum?

3. What is the interest of 216L. 5s. for one year, at Ans. 1L. 17s. 101d. 4. What is the interest of 500L. for one year, at 61L. per cent. per annum? Ans. 31L. 5s.

5. What is the interest of 855L. 17s. 6d. for one year, at 53L. per cent. per Ans. 49L. 4s. 3d.

annum?

6. What is the interest of 300 dollars for one year, at

61 dollars per cent. per annum?

Ans. $18.75.

CASE 3.

When the interest of a given sum for several years, is required.

RULE.

Multiply the interest of the given sum for one year, by the number of years given.

PROOF.

By the Double Rule of Three.

EXAMPLES.

1. What is the interest of 700 dollars for 5 years, at 6 dollars per cent. per annum?

Ans. $210.00,

700
6

Interest for one year $ 42.00

5

Interest for 5 years $ 210.00

2. What is the interest of 750L. for 3 years, at 6L. per cent. per annum?

?

Ans. 135L. 3. What is the interest of 375L. 10s. 6d. for 4 years, at 7L. per cent. per annum Ans. 105L. 2s. 11d. 4. What is the interest of 353L. 6s. 3d. for 9 years, at 6L. per cent. per annum? Ans. 158L. 19s. 93d.

5. What is the interest of $438.25 for 5 years, at 6 dollars per cent. per annum? Ans. 131.471. 6. What is the interest of 1000L. for 4 years, at 64L. per cent. per annum? Ans. 250L. 7. What is the interest of 1711L. 15s. for 2 years, at 5 L. per cent. per annum? Ans. 196L. 17s.

8. What is the interest of 320 dollars for 6 years, at 51⁄2 dollars per cent. per annum?

Ans. $105.60.

9. On a mortgage for 1256 dollars there is years interest due, at 6 dollars per cent. per annum, which is to be paid with the principal; what sum will discharge the debt? Ans. 1557.44.

CASE 4.

When the given time is months, weeks, or days, less, or more than a year.

K

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