persons 3 months, how much will be sufficient for 4 11 months?

persons

42. If it cost $23.84 to carry 17 cwt. 3 qrs. 14 lb. 85 miles, how much must be paid for carrying 53 cwt. 2 qrs. 150 miles?

43. If 18 men can build a wall 40 rods long, 5 feet high, and 4 feet thick in 15 days; in what time will 20 men build one 87 rods long, 8 feet high, and 5 feet thick?

44. If a family of 9 persons spend $305 in 4 months, how many dollars would maintain them 8 months, if 5 persons more were added to the family?

45. If a regiment consisting of 1878 soldiers, consume 702 quarters of wheat in 336 days; how many quarters will an army of 22536 soldiers consume in 112 days?

46. If 12 tailors can finish 13 suits of clothes in 7 days, how many tailors can finish the clothes of a regiment consisting of 494 soldiers, in 19 days of the same length?

47. If 24 measures of wine, at 3s. 4d. serve 16 men for 6 days, how many measures, at 2s. 8d., will serve 48 men 4 days?

48 How many tiles 8 inches square, will cover a hearth 12 feet wide and 16 feet long?

49. How many bricks 9 in. long, 41⁄2 in. wide, and 2 in. thick, will build a wall 6 feet high and 131⁄2 in. thick, round a garden, each side of which is 280 feet on the outside of the wall?

50. There is a house 40 feet in length, and 30 feet rafters; how many shingles will it take to cover the roof, supposing each shingle to be 4 inches wide, and each course to be 6 inches?

51. A man built a house consisting of 4 stories; in the lower story there were 16 windows, each containing 12 panes of glass, each pane 16 in. long, 12 in. wide; the second and third stories contained 18 windows, each of the same size; the fourth story contained 18 windows, each window 6 panes 18 by 12. How many square feet of glass were there in the whole house?

52. A merchant sold a piece of cloth for $40, and by so doing lost 10 per cent. He ought in trading to have gained 15 per cent. For how much ought he to have sold the cloth?

53. Bought a hogshead of molasses for $25, but 12 gallons having leaked out, I desire to sell the remainder, so as to

1

gain 3 per cent. on the whole cost. lon must I sell it ?

For how much per gal

54. Bought a hogshead of brandy, for $93 on 6 months' credit, and sold it for $103 ready money. How much did I gain, allowing money to be worth 6 per cent. a year?

55. Bought 3 hhds. of wine for $320 ready money, and sold it at $1.87 per gal. on 6 months' credit.

What did I gain, allowing money to be worth 6 per cent. per year?

Note. To answer this question, it will be necessary to compute the interest on $320 for 6 months, and add it to $320.

56. Bought a quantity of goods for $437.45 and hired the money to pay for it, for which I paid at the rate of 8 per cent. a year. Having kept it on hand 3 months and 17 days, I sold it for $470, on 4 months' credit. What per

cent. did I gain ?

57. Bought 5 hhds. of rum at 1 dollar per gal., ready money, and having kept it 3 months and 23 days, I sold it at $1.20 per gallon, on 5 months' credit; 16 gals. had leaked out while in my possession. How much did I gain?

When a debtor keeps money longer than a year, the interest is considered as due to the creditor at the end of the year, and he has a right to demand it. If the interest is not paid at the end of the year, the creditor sometimes requires the interest for the year to be added to the principal, and considered a part of the debt, and consequently interest paid upon it for the rest of the time, and so on at the end of every year. In this way the principal increases every year by the interest of the last year. This may seem just, but it is not allowed by law. This is called compound interest.

58. What will $143.17 amount to in 3 years and 4 months, at 6 per cent. compound interest?

The most convenient method is, to find the amount of 1 dollar for the time, and then multiply it by the number of dollars in the question.

1.21483632 amount for 3 years and 4 months.

It will be sufficiently exact to use the first four decimals $1.2148. This multiplied by 143.17 will give the answer. 1.2148

59. Make a table which shall contain the amount of 1 dollar, for 1 year, for two years, for 3 years, &c. to 20 years, at 5 per cent. and at 6 per cent. Reserve five decimal places.

N. B. The same table will serve for sterling money, or any other, if the parts are expressed in decimals.

60. What is the compound interest of $17.25 for 2 and 7 months, at 5 per cent. ?

years

Note. From the table take the amount of 1 dollar for two years, at 5 per cent. and compute the interest on it for 7 months, at 5 per cent. as in simple interest; add this to the amount for two years. This will be the amount of 1 dollar for 2 years and 7 months. Multiply this by 17.25; this will be the amount of $17.25 for the time. Then to find the interest, subtract the principal from the amount.

61. What will $73.42 amount to in 4 years, 3 months, and 17 days, at 6 per cent. compound interest?

62. A note was given 13th March, 1815, for $847.25; how much had it amounted to on the 7th November, 1820, at 6 per cent. compound interest?

63. How much would the sum in the last example have amounted to in the same time at simple interest?

64. What is the compound interest of $1753 for 11 years, 10 months, and 22 days, at 6 per cent.?

65. A note was given 11th May, 1813, for $847, rate 6 per cent. compound interest. The following payments were

made; 18th February, 1815, $158; 19th December, 1816, $87; 5th October, 1819, $200. What was due 8th July, 1822 ?

66. What will 17£. 13s. 6d. amount to in 5 years, 3 months, at 6 per cent. compound interest?

Note. Change the shillings and pence to decimals of a pound, and proceed as in Federal money. Call the unit in the table 1. instead of 1 dollar.

67. What is the compound interest of $643, for 7 years, 5 months, and 18 days, at 5 per cent.?

68. What is the compound interest of 143£. 7s. 4d. for 19 years, 7 months, at five per cent. ?

69. A farmer mixed 15 bushels of rye, at 64 cents per bushel; 18 bushels of corn, at 55 cents per bushel; and 21 bushels of oats, at 28 cents per bushel. How many bushels were there of the mixture? What was the whole worth? What was it worth per bushel ?

70. A grocer mixed 123 lb. of sugar, that was worth 8 cents per lb. ; 87 lb. that was worth 11 cents per lb.; and 15 lb. that was worth 13 cents per lb. What was the mixture worth per lb. ?

71. A grocer mixed 43 gallons of wine, that was worth $1.25 per gal. with 87 gals. that was worth $1.60 per gal. What was the mixture worth per gal. ?

72. With a hhd. of rum, worth $.87 per gal. a grocer mixed 10 gals. of water. What was the mixture worth per gal. ?

73. How many gals. of rum, at $.60 per gal. will come to as much as 43 gals. will come to, at $.75 per gal. ?

74. How much water must be added to a pipe of wine, worth $1.50 per gal. in order to reduce the price to $1.30 per gal. ?

75. A grocer has two kinds of sugar, one at 8 cents per lb., the other at 13 cents. He wishes to mix them together in such a manner, that the mixture may be worth 11 cents per lb. What will be the proportions of each in the mixture?

Note. The difference of the two kinds is 5 cents. Therefore if a pound of each kind be divided, each into five equal parts, the difference between one part of each will be 1 cent. If lb. be taken from that at 8 cents, and lb. of that at 13 cents be put in its place, the pound will be worth 9 cents. If lb. be taken from it, and as much of the other be put in