In the following examples, it will be most convenient to multiply by the numerator of the fraction, before dividing by the denominator. See Second Method of

operation, exemplified in page 152.

7. The highest point of the Andes, is 21440 feet: Mont Blanc, of the Alps, is as high. What is the height of Mont Blanc ?

8. Virginia contains 66000 square miles: Rhode Island is only as large. How many square miles are there in Rhode Island?

9. If a man's income be $1000 per year, what is his income for 9 months, or of a year?

10. Suppose a man by constant industry can earn $1.50 per day; what will he earn in 10 days, allowing him to rest of the time?

11. How much must be paid for 1% of a ton of Russia hemp, when the price is $210 per ton?

12. A man having 4 miles to go, rode of the way, and walked the remainder. How many rods did he walk? 13. Suppose 45000 pounds of iron to be sufficient to lay the track on 1 mile of rail-way; how many pounds of iron are required to lay the track on 17 mile?

14. How much is 4500 plus of 4500?

15. Suppose a rail-way car to run 350 miles a day; what distance will it run in 52 days?

16. How much is 5 much is 5 times 350 and 17. How much is 6

times 350?— That is,—how of another time 350 ?

times 91? 8 times 146 ?

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33 times 244 ? 124 times 379? 16 times 978 ?

PERCENTAGE.

The term, per cent., is an abbreviation of per centum, and signifies, by the hundred. 1 per cent. of any nuinber, is 1 of that number; 2 per cent. is 180; 3 per cent. is 13; 4 per cent. is ; and so on. 18. What is 5 per cent. of 360 dollars?

360

5
$18.00

Since 5 per cent. is 150, we multiply by 5, and divide by 100. To divide by 100, we merely point off two figures from the right, as taught in page 116

19. What is 1 per cent. of 100?

2 per cent. of 100? 20. What is 2 per cent. or of 350 dollars? 21. A merchant, who has $3875 deposited in the pank, wishes to draw out 4 per cent. of his deposit How many dollars must he draw?

00

22. What is 6 per cent. or 16 of 4250 dollars? 23. What is 6 per cent. of $92.50, or 9250 cents? 24. What is 4 per cent. of $132.75 ?

25. A merchant having 2513 gallons of wine on hand, lost 1 per cent. of the whole, by leekage from the casks. How many gallons did he lose?

26. Find 6 per cent. of 128 dollars.

128

6

$7.68

68

After multiplying and dividing, our quotient is $71. Now, since 1 of a dollar is 1 cent, 68 of a dollar is 68 cents: therefore the answer is $7.68.

100

27. Find 7 per cent. of 2517 dollars.

28. Find 18 per cent. of 20 dollars.

29. What is 4 per cent. of $70.14, or 7014 cents? In this example, after multiplying by 4, and dividing by 100, there is a remainder of 56. And since the quotient is cents, this remainder is 5% of a cent.

30. What is 9 per cent. of $470.46 ?

31. What is 55 per cent. of $964.07 ?

32. A and B have $500 apiece. If A should give B 6 per cent. of his cash, what would each then have? 33. What is of 1 per cent. of 62 dollars?

34. What is 4

per cent. of 62 dollars? 35. What is per cent. of 246 dollars? 36. What is 5 per cent. of 246 dollars?

37. A merchant paid $491 for a quantity of salt: for how much must he sell it, to gain 9 per cent.?

38. A trader paid $230 for a piece of cloth, containing 46 yards, and sold it so as to lose 4 per cent At how much did he sell it per yard?

39. If I pay $525 for 90 barrels of flour, at what price per barrel must I sell it, to gain 7 per cent.?

40. Suppose a merchant to pay $85 per ton for 6 tons of iron; at what price must he sell it per hundred weight, in order to gain 12 per cent.?

41. A merchant failed in business, and was able to pay his creditors only 65 per cent. of their demands. What did he pay on a demand of $534 ?

INTEREST.

Interest is money paid for the use of money that has been owed. For instance, suppose that A lends B $100 for one year, and at the end of the year, B pays, not only the $100, but also pays $6 for the use of the $100: in this case, $6 is the interest.

The money for which interest is paid, is called the Principal. The sum per cent. paid for one year's interest, is called the Rate. The principal and interest added together, are called the Amount.

RULE FOR COMPUTING INTEREST. Multiply the principal by the rate per cent., and divide the product by 100: the quotient will be the interest for 1 year.

42. What is the interest of $100, for 1 year, at 5 per cent.? What is the amount?

43. What is the interest of $1 or 100 cents, for 1 year, at 5 per cent.? What is the amount ?

44. What is the interest of $354, at 6 per cent. for 1 year? for 2 years? for 3 years? for 4 years? What is the amount for 4 years?

45. What is the interest of $40.50, for 4 years, at 6 per cent.? What is the amount?

46. What is the interest of $18, for 3 years, at 7 per cent.? What is the amount?

47. What will $8410 amount to in 15 years; the rate of interest being 4 per cent.?

48. What is the interest of $6470, for 3 years, at 51⁄2 per cent.? What is the amount?

When interest is to be computed for any number of months, First find the interest for 1 year; then take of a year's interest for 1 month; or for 2 months, 11⁄2 or, for 3 months; and so on.

49. What is the interest of $35, for one month, at 6 per cent. per annum? What is the amount?

50. What is the interest of $21, for 2 months, at 7 per cent. per annuni?

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51. What is the interest of $4291, for 3 months, at per cent. per annum ?

52. At 4 per cent. per annum, what is the interest of $122.75 for 4 months? for 5 months? for 6 months? for 7 months? for 8 months? for 9 months? for 10 months? What is the amount for 11 months?

53. What is the interest of $14.50, for 1 year and 1 month, at 6 per cent.?

54. What is the interest of $19.25, for 3 years and 2 months, at 8 per cent.?

55. What is the amount of $458, for 2 years and 3 months, at 7 per cent.?

56. What is the amount of $8.75 for 5 years and 4 months, at 4 per cent.?

57. What is the amount of $91.50, for 2 years and 7 months, at 8 per cent.?

58. What is the interest of $81, from February 7, 1832, to August 7, 1835, at 6 per cent.?

59. Suppose a promissory note of $145, to be dated, January 15, 1831; what will be the amount of that note, October 15, 1834; the rate being 6 per cent.?

60. A owed B $96, on interest at 6 per cent. At the end of 2 years, A paid the interest then due, and $25 of the principal: at the end of 3 years and 11 months, he paid the whole debt. What was each payment?

2

of

When interest is to be computed for any number first find interesmputed days,— First find the interest for 1 month; then take 30 of a month's interest for 1 day; or 15 for 2 days, 35 or 10 for 3 days; or for 4 days; or for 5 days; or for 6 days; and so on.

6

4

In the following operations, in this section, all fractions of a cent may be disregarded: this being the common practice in business.

61. What is the interest of $231, for 7 days, at 6 per cent. per annum?

Direction. First find the interest for 1 of a year or 1 month; and then for

year; then for of a month.

62. What is the interest of $75, for 10 days, at 6 per cent. per annum ?

63. What is the interest of $254 for 21 days, at 6 per cent. per annum ?

64. What is the interest of $110, for 5 months, and 8 days, at 6 per cent. per annum?

65. What is the interest of $34 for 1 year, 3 months, and 25 days, at 6 per cent. per annum ?

66. What is the interest of $91.18, for 3 years, 2 months, and 13 days, at 6 per cent. per annum ?

Several other methods are practised by merchants, in computing interest; among which, are the following. When the rate is 5 per cent.-Divide the principal by 20, and the quotient is the interest for 1 year.

67. What is the interest of $4207, for 2 years, at 5 per cent. per annum?

68. What is the interest of $951.17, for 4 years, at 5 per cent. per annum ?

When the rate is 6 per cent.-Multiply the principal by half the number of months in the time, divide the product by 100, and the quotient is the interest.

69. What is the interest of $119, for 16 months, at 6 per cent. per annum ?

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70. What is the interest of $96.48, for 10 months, at per cent. per annum?

71. What is the amount of $27.56, on interest 6 months, at 6 per cent. per annum ?

72. What is the interest of $133.24, for 11 months, at 6 per cent. per annum?

To find the interest for DAYS, the rate being 6 per cent. Multiply the principal in dollars by the number of days, divide the product by 6, and cut off one figure from the right of the quotient. The rest of the quotient figures express NEARLY the interest, in cents.

73. What is the interest of $249, for 75 days, at 6 per cent. per annum?

74. What is the interest of $5824, for 21 days, at 6 per cent. per annum ?