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gained 20%, on two others 331%, and on the others I lost 25%; what was the balance of gain or loss?

48. I sell a lot of carrots at $13.26 per ton, and take in payment a note for 2 months without interest, gaining 8%; what did I pay per ton?

49. What is the interest on £73 from Oct. 21, 1858, to May 11, 1860?

50. What is the amount, at compound interest, of $100, from Apr. 1, 1860, to Jan. 1, 1863, at 5% per annum, interest payable semi-annually?

51. The interest on a note for 2 y. 16 d., at 7%, is $141.94; what is the face of the note?

52. In what time will $98, on interest at 7%, amount to $123.48?

53. What principal will amount to $185.50 in 3 y. 9 m. 20 d., at 7%?

54. What would be due May 1, 1865, on a note for $1000, dated March 26, 1860, at 8% interest, on which $200 were paid at the end of each year from the date of the note?

55. N. T. Allen bought, June 8, 1861, 10 bales of cotton cloth, 14 pieces in a bale, 43 yds. in a piece, at 8 ets. per yd., for which he gave his note on interest at 6%. On the 4th of Nov., 1863, he sold 1 bale at 30 cts. a yd., and with the proceeds made part pay. ment of his note. On the 3d of May, 1864, he sold 1 bale at 40 cts., and paid on his note the amount he received. On the 17th of Sept., 1864, he sold the remainder at 60 cts., and settled the note. What did he gain by his speculation?

56. George Rivers bought $1000 worth of government stock at par, bearing 7% % interest in U. S. currency. At the end of 3 years, he converted it into five-twenty 6% bonds, interest payable in gold. Gold being at a premium of 100%, does he gain or lose by the exchange, and what%? Ans. Gains annually 47%. 57. I buy United States ten-forty bonds at par, interest being 5% per annum, payable semi-annually in gold, and gold being at a premium of 150%. What rate per cent. in currency, payable annually, do my proceeds equal? Ans. 121%

58. A pays $1075 for United States five-twenty 6% bonds, at a premium of 71%, the interest on the bonds being paid semiannually in gold. If the average premium on gold be 112%, does he make more or less, and how much, than B, who invested an equal sum in railroad stocks, at 14% below par, which paid a semi-annual dividend of 4%? Ans. $13.60 more, semi-annually.

59. The city tax of Lowell being %, and the state and county tax.15%; for what sum is Samuel Lowe taxed, who pays $56.22, including $1.50 poll-tax?

60. An agent, who purchased a lot of wheat, forwarded his bill for $568.874. If this included his commission of 21% on the purchase, what sum was paid for the wheat?

61. What is the difference between the true and bank discount of $700, due in 90 days, where the legal rate is 7% ?

62. Write a note for 60 days, for which you could get $300 at a bank, discount being 6%.

63. How much would you receive from a bank, June 12, 1860, for a note of $820, dated April 12, 1860, payable 6 months after date?

64. A bookbinder holds a bill against a publisher for work to the amount of $600, payable in 6 months without interest. He offers to discount 5% of the bill for present payment. If the publisher pays $300 of the debt, what will still be due ?

Ans. $284.21+.

65. The government tax on all bank dividends for 1864 was 3%. A certain bank, having declared a dividend of $15000, paid to the government $450, and subsequently paid the full sum of $15000 to the stockholders. To this the government objected. What was the error at the bank? What sum should have been paid to the government?

66. Blake Brothers & Co. purchased to order oil stocks to the amount of $5714.25, including their commission of 1%; the stock, the par value of which was $50 per share, was purchased at 95%; how many shares were purchased? Ans. 120 shares.

67. Received from India 75 tierces of rice, invoiced at 220 lbs. each, for which I paid 3 cents a pound. A duty of cents per

pound was paid at the custom house, after 5% of the weight had been deducted for tare. If the rice should net what it was invoiced at, for what should it be sold to gain 20% ?

68. A, B, and C formed a partnership. A furnished of the 告 capital, B, and C the remainder. Their gains were equal to 121% of their capital. Of these C took 25 eagles as his share. Allowing a premium for the gold of 244%, what was the whole capital, and what the gain of A and B in bank notes ?

69. Breck and Loring traded in hides for one year. Breck put in $2000 at first; at the end of 3 months he withdrew $700, and at the end of 7 months put in $1000. Loring put in $1200 at first, and $500 more in 4 months. At the end of 6 months he withdrew $200. The gain for the year was $2355.75, of which Loring received $1000 for conducting the business. What was the share of each?

70. What should be the date of a note given in payment of the balance of the following account?

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to build the walls of a store

71. Required the cost of bricks house 25 ft. long, 20 ft. wide, and 30 ft. high, containing 2 windows 8 ft. by 4 ft. each, and 1 door 7 ft. by 6 ft., the walls being 2 ft. thick, and bricks $5.50 per thousand, measuring 8 in. by 4 in. by 2 in.

72. Required the cost of boards, at $20 per thousand feet, to make a box 7 ft. 10 in. long, 3 ft. 8 in. wide, and 2 ft. 6 in. high; boards to be 1 in. thick. Ans. $2.203.

73. A wine merchant used the following receipt for port wine: 85 gallons prepared cider, worth $1.00 per gallon; 5 gallons red wine, at $2.00 per gallon; 5 gallons port wine, at $5.00 per gallon; 3 gallons spirits, at $1.00 a gallon; 3 pounds sugar, at 16 cents per pound; 2 ounces tincture of kino, at 6 cents an ounce ;

and 1 ounce tartaric acid, at 13 cents. Suppose the sugar, kino, and acid do not add to the bulk of the mixture, and that the merchant sells it at $4.50 per gallon, what per cent. does he gain?

74. If a pipe 2 inches in diameter will fill a cistern in two hours, in what time will a pipe 5 inches in diameter fill the same? 75. What is the length of the edge of the largest cube that can be sawed from a globe 9 inches in diameter?

76. The ridge-pole of a house is 46 ft. from the ground, the eaves 38 ft., the rafters on each side of the roof being 18 ft. long、 what is the width of the house?

77. Required the edge of a cubical box that will contain 125 times as much as a box measuring 1 foot each way.

78. The pyramid of Cheops, in Egypt, is said to contain 82111000 cubic feet of masonry, and to have been 480 feet high. Allowing 7000000 cubic feet, which are required to perfect its pyramidal form and to fill its chambers, what is the length of one side of its base, which is a square? Ans. 746.2 ft.+.

79. How many yards of cloth ğ yd. wide will be required to cover the sides and top of a cubical box containing 6751.269 cubic inches?

80. What will be the cost of digging a ditch outside a square garden containing 12.75 rods, the ditch to be 7 ft. wide and 5 ft, deep, at 1 cent per cubic foot?

81. How much would the earth taken out of the ditch raise the surface of the garden?

82. How many gallons in a cylindrical jar, the radius of whose base is 1 foot, and whose altitude is 4 ft.?

83. What will be the thickness of a square stick of timber which contains 4.542098 tons (50 cu. ft. - 1 ton), the stick being 100 ft. long?

84. Supposing a cubic foot of snow to weigh 31 lbs., what will be the pressure of a body of snow 9 inches deep upon a flat roof 100 ft. by 25 ft.?

85. Required the number of square feet in the surface of a ditch surrounding a circular garden which is 25 yards across, the ditch being 2 ft. across.

86. How many gallons will the above ditch contain, it being 5 ft. deep?

87. The circular outlet to a cistern being 4 inches in diameter, what must be the width of a rectangular receiving-pipe, whose depth is 2 inches, that its capacity may be the same as the discharging-pipe?

88. What will a pine log weigh whose length is 18 ft., measuring 3 ft. across the larger end, and 2 ft. across the smaller, pine being .6 as heavy as water, which weighs 62 lbs. to a cubic foot? (See Art. 455.)

89. How many cubic yards in a cellar whose side walls meas. ure, on the outside, 70 ft., and whose end walls measure 48 ft., the cellar being 10 ft. deep, and the walls 3 ft. thick?

90. Suppose there is a globe of ice in the region of the Alps weighing 243474 lbs.; there being 930 oz. to a solid foot, what is its diameter? Ans. 20 ft.

91. Suppose of the above globe of ice to melt away each year, what will be the length of its diameter each succeeding year?

92. An engineer planted a battery near the bank of a river to shell a fort upon the opposite side. To ascertain the distance of the fort, he noted the direction of the fort from the mortar; then, placing himself at a point eight rods higher up the river, he caused a line to be drawn from a point six feet distant from himself, in range with the mortar, to be extended parallel with the line first noted till it ranged between himself and the fort. This line he found to be 480 feet. What was the distance of the fort from the mortar? (Page 294, Note.) Ans. 2 miles.

93. Wishing to know the height of a flagstaff which was 60 feet distant, I held my cane perpendicularly so that its lower end was 2 ft. 4 in. in a horizontal line from my eye, and found the range of the top of the staff was 35 inches from the bottom of the cane. Required the height of the flagstaff, allowing my eye to have been 5 ft. from the ground, which was a horizontal plane. Ans. 89 ft. high.

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