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25. Bought 973 yards of cloth for $275.20; what is the price of 7 yards? Ans. $19.78+. 26. If a pole 7 feet long cast a shadow of 5 feet, how high is that steeple, whose shadow is 97 feet? Ans. 135 feet. 27. Gave 33 cwt. of sugar, at $9 for of an acre of land; how much sugar would it have required to purchase an acre?

Ans. 523 cwt.

28. If a vessel sail 471⁄2 miles in 33 hours, how far would it sail in 1 week? Ans. 2425 m. 29. James can mow a field in 7 days, by laboring 10 hours a day; how many days would it take him to perform the work by laboring 12 hours a day? Ans. 5 days.

30. If of a lot of land is worth $42.12, what is the value of of it? Ans. $29.41. 31. If a man can earn $10.27 in of a week, how much would be earn in a month? Ans. $71.89. 32. If 18 men can reap 72 acres in 5 days, how long would it take 6 men to perform the labor? Ans. 15 days. 33. If 19 gallons of wine can be bought for $25, how many gallons will $71.25 buy? Ans. 54%

34. If a penny loaf weighs 8 ounces, when wheat is $1 a bushel, what should it weigh, when wheat is sold for $1.25 a bushel? Ans. 6 ounces.

35. If a basket, which contains 1 bushels, must be filled with apples 7 times to make 1 barrel of cider, how many barrels may be made by its being filled 126 times? Ans. 18 barrels.

36. If a cloak can be made of 4 yards of cloth, that is 1yds. wide, how many yards would it take, of cloth that is of a yard wide ? Ans. 6yds. 1qr. S§na. 37. If a box 4 feet long, 2 feet wide, 14 feet high, contains 300 pounds of sugar, how much will a box that is 8 feet long, 4 feet wide, and 3 feet high contain ? Ans. 2400lbs.

38. How much in length, that is 124 rods in breadth, will make an acre ? Ans. 12 rd. 39. Sound, uninterrupted, moves 1142 feet a second; how long, after a cannon's being discharged at Boston, is the time before it is heard at Bradford, the nearest distance being 251 miles? Ans. 2 minutes. of it for $ 46.70; Ans. $93.40.

40. Bought of a ton of potash, and sold what was the value of a ton?

41. If of a lot of land be worth $97, what would the whole lot be worth?

Ans. $266.75.

42. If 19 pounds of salmon be worth 50 pounds of beef, how much salmon would buy 77 pounds of beef?

43. What part of 17 is 4?

44. What part of 11s. 3d. is 15s.

15. What part of 74 yards is 33 ells English?

Ans.-29 lbs.

Ans. 187

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SECTION XXX.

SIMPLE INTEREST.

INTEREST is the compensation, which the borrower of money makes to the lender.

PRINCIPAL, is the sum lent.

AMOUNT, is the interest added to the principal.

PER CENT., a contraction of per centum, is the rate established by law; or that which is agreed on by the parties, and is so much for a hundred dollars for one 1 year.

GENERAL RULE⭑

Multiply the principal by the rate per cent. and divide by 100, and the quotient is the answer for one year; or, multiply by the per cent. and cut off two figures from the right hand, and those at the left will be the interest in dollars, and those at the right will be decimals of a dollar.

SECOND METHOD.

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Let the per cent. be considered a decimal of a hundred dollars, and multiply the principal by it. Thus, .06 is the decimal for six per cent. and .08 is the decimal for eight per cent.

NOTE.

When no particular per cent. is named, 6 per cent. is to be understood; as it is the legal interest in the New England States generally. In New York, the legal interest is 7 per cent.

EXAMPLES.

1. What is the interest of $144 for 1 year?

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Ans. $4.68. Ans. $40.50.

2. What is the interest of $78 for 1 year ? 3. What is the interest of $675 for 1 year?

This rule is obvious, from the fact, that the rate per cent. is such a part of every hundred. Thus, 6

per cent. is

of the principal.

4. What is the interest of $1728 for 1 year?

Ans. $103.68.

Ans. $2.35.6.

5. What is the interest of $19.64 for 2 years? 6. What is the interest of $ 896.28 for 3 years?

Ans. $161.33.

Ans. $209.55.

7. What is the interest of $ 349.25 for 10 years? 8. What is the interest of $3967.87 for 2 years?

Ans. $476.14.4.

9. What is the interest of $123.45 for 6 years?

Ans. $44.44.2.

Ans. $267.75.

10. What is the interest of $89.25 for 50 years? 11. What is the interest of $17.25 for 7 years?

Ans. $7.24.5.

12. What is the interest of $29.19 for 9 years?

Ans. $15.76.2.

13. What is the interest of $617.56 for 25 years?

Ans. $926.34.

14. What is the amount of $31.75 for 100 years?

Ans. $222.25. Ans. $108.58.7.

15. What is the amount of $76.47 for 7 years?

16. What is the amount of $716.57 for 4 years?

Ans. $888.54.6.

17. What is the amount of $178.56.5 for 30 years?

Ans. $499.98.2.

18. What is the interest of $97.06 for 9 years?

Ans. $52.41.2.

19. What is the interest of $0.75 for 75 years?

Ans. $3.37 5.

20. What is the interest of $750 for 12 years?

Ans. $540.

CASE 1.

To find the interest for months, at six per cent.

RULE.*

Multiply the principal by half the number of months, and proceed as in the general rule; or, let half the number of months be considered as a decimal.

* It is obvious, that if the rate per cent. were 12, it would be 1 per cent. a month. If, therefore, it be 6 per cent. it will be half per cent. a month; that half the months will be the per cent.

EXAMPLES.

1. What is the interest of $368 for 8 months?

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2. What is the interest of $ 637 for 10 months?

Ans. $31.85.

3. What is the interest of $1671.32 for 14 months?

Ans. $116.99.

4. What is the interest of $891.24 for 9 months?

Ans. $40.10.

5. What is the interest of $819.75 for 11 months?

Ans. $45.08.6.

6. What is the interest of $3671.25 for 18 months?

Ans. $233.63.

7. What is the interest of $61.18 for 15 months?

Ans. $4.58.

8. What is the interest of $3181.29 for 18 months?

Ans. $286.31.

9. What is the interest of $11.39 for 19 months?

Ans. $1.08.

10. What is the interest of $9.98 for 23 months?

Ans. $1.14.

11. What is the interest of $87.19 for 27 months?

Ans. $11.77.

12. What is the interest of $32.18 for 36 months?

Ans. $5.79.

13. What is the interest of $167.18 for 50 months?

Ans. $41.79.

14. What is the interest of $336.19 for 100 months?

Ans. $193.09.

CASE II.

To find the interest of any sum for months and days, at 6 per

cent.

RULE.*

Multiply by half the number of months and one-sixth of the days; and if the principal be dollars, cut off three figures from the right hand, and those at the left will be the interest in dol

* By taking one-sixth of the days, and annexing them to half of the months, they become decimals of a month; for as days are thirtieths of a month, they will therefore be sixtieths of half months; and if one-sixth of the days be taken they become tenths, or decimals of a month.

lars, and those at the right will be cents and mills. But if the principal be dollars and cents, five figures must be cut off from the right hand, and those at the left will be the interest, as before, &c.

NOTE. If any other per cent. is wanted, proceed as above, and then multiply by the given rate per cent. and divide by 6, and the quotient is the interest.

EXAMPLES.

1. What is the interest of $68.25 for 8 months and 24 days? Ans. $3.00.3.

68.25

.0.44

27300 27300

3.00.300

The first 4 in the multiplier is half of the 8 months; the second 4 is onesixth of the 24 days..

2. What is the interest of $ 637.28 for 17 months and 19 days, at 8 per cent. ? Ans. $74.91.5. 3. What is the interest of $396.15 for 13 months and 9 days? Ans. $26.34.3.

4. What is the interest of $16.75 for 7 months and 17 days, at 7 per cent.?

5. What is the interest of $976.18 for 29 at 9 per cent. ?

6. What is the interest of $36.18 for 3

7. What is the interest of $51.17 for 9 at 4 per cent. ?

8. What is the interest of $ 365.19 for at 2 per cent. ?

Ans. $0.73.9. months and 23 days, Ans. $217.93.2. months and 7 days? Ans. $0.58.4. months and 29 days, Ans. $1.69.9. months and 4 days, Ans. $20.16.6.

33

9. What is the interest of $125.75 for 5 months and 4 days?

Ans. $3.22.7.

10. What is the interest of $35.49 for 1 month and 2 days, at Ans. $0.23.6.

7 per cent. ? 11. What is the interest of $112.50 for 3 months and 1 day, at 9 per cent.? Ans. $2.70.1.

12. What is the interest of $97.15 for 35 months and 27 days?

13. What is the interest of $47.15 for 1 at 13 per cent. ?

Ans. $17.43.8. month and 19 days, Ans. $0.86.6.

14. What is the interest of $678.75 for 87 months and 20 days? Ans. $297.51.8.

15. What is the interest of $86 for 99 months and 29 days, at 25 per cent. ? Ans. $179.10.6.

16. What is the interest of $38.85.8 for 15 months and 17

days?

17. What is the interest of $144 for 5 days?

Ans. $2.59.6.

Ans. $0.12.0

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