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42. A boy bought oranges at the rate of 3 for 5 cents, and sold them at the rate of 2 for 59. What was his rate

of gain?

43. Ten per cent of a number is 32 less than eighteen per cent of the same number. What is the number?

44. I paid $28.87 for insuring my house for $3850 for three years. What was the rate of the yearly premium? 45. A stock of goods valued at $6300 is insured for 3 its value at 3%. What will be the owner's loss if the goods are totally destroyed by fire?

46. A man's income is $1720, which is 16% of the sum he has invested. What sum has he invested?

47. From a cargo containing wheat, 1620 bu., or 7%, was washed overboard. What number of bushels remained? 48. A stock-dealer sold 38 head of cattle, which was 4% of his entire herd. How many had he left?

49. In an orchard containing 820 trees, 20% of them were pear-trees, and the remainder were plum-trees. How many plum-trees were there in the orchard?

50. From a cask of wine containing 65 gal. all but 15% was sold. How many gallons were sold?

51. In a school containing 875 pupils 32% of them are boys and the remainder girls. How many girls are there? 52. There is a loss of $500 on a house and lot sold for $5000. What is the per cent of loss?

53. An agent reports that he invested the money remitted him in wheat, which he sold at an advance of 15%; then investing the proceeds in a second quantity, he was forced to sell at a loss of 121%. He now deducts $100 for expenses and commission, and remits $5333.75 to his employer as the balance due him. Find the loss to the employer.

54. $90 are paid as premium for insuring a block for three-fourths of its value. If the rate of insurance is 3%. what is the value of the property?

55. New York State has a population of 5,998,000, and New York City has 1,515,000. What per cent of the population of the State live in New York City?

56. During the war of 1861-1865, the State of New York paid $40,000,000 in bounties to her volunteers. Her population at that time was (in round numbers) 4,000,000. What was the average cost to each inhabitant?

57. If I sell 6 horses for what 8 horses cost, what is my rate of gain?

58. Sold wheat for $73.541, by which a gain of 15% was made. What did the wheat cost? and what sum was

gained?

59. In a school containing 1160 pupils, 638 are girls and the remainder are boys. What per cent are boys?

60. A hall is 42 ft. wide, and 294 ft. long. What per cent of the length is the width ?

61. In a certain battle 223% more than of the soldiers were killed. If the loss was 110 men, what was the

original number?

62. In an orange-grove 81% of the trees were ruined by frost. If 1100 remained uninjured, how many were destroyed?

63. A merchant sold a lot of goods for $550, thereby gaining 10%. Find the cost of the goods.

64. A man sold a watch for $32, thereby losing 20% on the cost. Find the cost.

65. If a man owns 663 per cent of a factory, and sells 331 per cent of his share for $1800, what is the value of the factory?

66. A sold 30% of his steamship to B; B sold 60% of his purchase to C; C sold 75% of his share to D for $27000. What was the value of the vessel? What was each one's share in dollars after the sales had been made?

67. After a discount of 30% had been made upon the catalogue price of a book, it was sold for $1.75. What was the catalogue price?

68. Bought a horse for $120, and sold him for $135. What part of the cost was the gain? What per cent?

69. Bought tea at 60 ct. a pound. What must I ask per lb. so as to abate 10% and still make a profit of 25% ?

70. A merchant's profits for 1895 were $3402.84. If they were 63% less than in 1894, what were they in 1894 ? 71. In one week John solved 75 problems correctly. If he failed in 163% of the number attempted, how many were there in all ?

SIMPLE INTEREST.

276. 1. I borrow $500 for 1 year, and at the end of the year I repay the money and 6% for the use of it. How much do I pay for the use of $500?

2. How much must be paid for the use of $50 for 1 year at 5%? at 7% ?

3. How much at 5% per annum must I pay for the use of $1000 for 1 year? For 3 years?

4. I loan James Barnes $500 at 6%. At the end of 2 years he pays me in full. How much does he pay me?

Money that is paid for the use of money is called Interest. The money for the use of which interest is paid is called the Principal, and the sum of the Principal and interest is called the Amount.

Interest at 6% means 6% of the principal for 1 year.

12 months of 30 days each are usually regarded as a year in computing interest.

Oral.

5. What is the interest of $100 for 3 years at 6% ?

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6. What is the interest of $80 at 5% for 21 years? 7. What is the interest of $1000 at 5% for 2 yr. 6 mo. ? 8. What is the interest of $100 at 6% for 1 year? For 1? For 2 yr. 6 mo? For 3 yr. 3 mo. ? For 1 yr. 6 mo. ?

When the time does not include days, find interest as follows:

Principal Rate X Time Interest.

=

9. What is the interest of $297.62 for 5 yr. 3 mo. at

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Find the amount of:

18. $284.10 for 3 yr. 2. mo. at 7%.
19. $364.24 for 1 yr. 1 mo. at 6%.
20. $282.50 for 5 yr. 9 mo. at 51%.
21. $298 for 4 yr. 3 mo. at 6%.
22. $389 for 7 yr. 10 mo. at 5%.
23. $894 for 51 yr. at 51%.

24. A man buys a house and lot for $2800. He pays of the amount in cash, and the remainder after 1 yr. 4 mo. with 5% interest. Find the amount of the second payment.

25. Required the simple interest and amount of $787.875 for 7 yr. 7 mo. at 7%.

26. Find the interest on a note for $12500 for three months at 8%.

27. A man paid his city tax five months after it became due. His tax was $560. In accordance with city ordinance, 1% is added for each month the taxes are overdue. He pays to the city collector of taxes, who adds 5% collection fee. How much did he have to pay ?

THE SIX PER CENT METHOD.

277. By the 6% method it is convenient to find first the interest of $1, then multiply it by the principal.

1. If $.09 is the interest of $1 for a certain time, what is the interest of $2 for the same time? of $10? of $25 ?

2. The interest of $1 at 6% for a certain time is $.034. What is the interest of $36.25 for the same time?

The interest of $36.25 is 36,2 times the inter

100

EXPLANATION.

est of $1.

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