47. A 60-day note for $1000 is discounted at a bank at 8% on the date of issue. Find the proceeds. 48. A speculator buys a tract of land 41 miles square. How many sections does it contain? How much will it cost to put a fence around it at $0.50 per rod ? 49. Find the cost of the following bill of lumber: 30 pieces 30' X 6'' x 12' at $30 per M. 60 pieces 24' 6" x 8" at $24 per M. 120 pieces 18" x 4" X 6'' at $20 per M. 150 pieces 16' x 3'' x 4" at $18 per M. 50. A commission merchant sold 2240 pounds of butter at 24¢ a pound. His commission for selling was 5% and he paid freight charges amounting to $5.72. How much did he remit to the shipper ? 51. A barn valued at $1800 is insured for 4 of its value, at 11% for a term of 3 years. Find the average annual cost of insurance. 52. $200 was borrowed at 5% on Oct. 1, 1904. When it was paid, it amounted to $217.50. On what date was it paid ? 53. Two successive discounts of 20% and 15% reduce a bill to $306. How much was the original bill ? 54. From a piece of land 45 rods square, I sold 145 square rods. What is the value of the remainder, at $60 an acre ? 11 - + 14 - 15 , 32 x 43 x 55. Simplify: a. 24 + } - 1} + iz " 73 x 81 x 1 56. A note for $320, dated June 1, 1902, falls due September 16, 1904. What amount will pay the note if it draws 41% simple interest ? . 57. What is the tax on property assessed for $12480 at $13.50 a thousand ? . 58. A broker's purchase at 105, with his brokerage at %, was $6307.50. How many shares were bought ? 59. In what time will any principal double itself at 5%? at 6% ? at 8% ? 60. A street 40 rods long and 40 feet wide is to be graded down on an average 11 feet. How much will the excavating cost at 27% a cubic yard ? 61. A coal dealer bought 260 tons of coal at $3.50 per long ton and sold it at $4.20 per short ton. Find the gain. 62. A wholesale merchant imports 30000 yards of Brussels carpet, 27 inches wide, purchased in Belgium at 40€ per yard. The duty is 18$ per yard and 40 % ad valorem. Find the wholesale price in the United States, if a profit of 25 % on the yard is made. 63. I invested $5000 in bank stock at 156 and sold it at 167, brokerage 1% in each case. Find the gain. 64. The specific gravity of oak is .934. Find the weight of an oak sill 24 ft. x 1 ft. x 1 ft. 65. The residence of Mr. Daniels valued at $8000 was insured for 3 years at 90 cents per $100 on 80% of its valuation. How much was the average annual premium? 66. A man 45 years old takes out a $5000 life insurance policy payable in 20 years. If he pays an annual premium of $36.87 on the $1000, and lives till the policy falls due, how much will his insurance cost him, estimating that he gets back in dividends an average of 20% of the premiums paid ? 67. A train running 30 miles an hour is 54 minutes in going from one city to another. If it makes 3 stops of 4 minutes each, how far apart are the cities? 68. A square field contains 10 acres. How much longer is its diagonal than its side ? 69. A man desires to realize 6% on his investment. How much should he pay for borough bonds bearing 41% interest? 70. In an examination 150 questions were asked each of 5 members of a class. The first answered 140, the second 135, the third and fourth 120 each, and the fifth 110. Find the average per cent of the class. 71. A farm roller 8 ft. long and 21 ft. in diameter will pass over how much surface in 100 revolutions ? 72. The floor of a room is 16 ft. X 131 ft. Find the cost of carpeting it with carpet of a yard wide, laid lengthwise and costing $1.20 a yard, allowing 9 inches for matching on each strip except the first. 73. A grocer pays $16 for 5 bushels of cranberries, and sells them so as to gain 30%. What is the selling price per quart? 74. I loaned $450 at 5%, and received $502.50 when it was paid. For how long was it loaned ? 75. The face of one side of a cube is a surface of 100 square feet. Find the volume. 76. A tax of $6181.40 is to be assessed upon a town. There are 620 persons subject to a poll tax of $1.25 each. The property assessment is $675800. Find the tax on Mr. Anderson's property, which is assessed at $4750 if he pays for one poll. 77. A man buys a house and lot for $3500; he pays $1000 cash and gives a mortgage for the balance at 6%. At the end of 9 months he sells the house and lot for $4500, paying the interest due on the mortgage at the time of sale. How much does he realize on his investment ? 78. I desire to invest $9000. I can buy 7% stock at 20% premium or loan the money at 6%. Which is the better, both being safe investments ? 79. Solve the following equations : 6% of $100 = 5% of ($ ). 373% of 64=( %) of 120. 80. $1650 yields $530.75 interest in 5 years, 4 months, 10 days. Find the rate. 81. What sum of money, at 6% simple interest, will produce in 2 years, 6 months, the same interest that $900 will produce in 3 years, 4 months, at 5% ? 82. The slant height of a church spire is 48 feet, and its base is a hexagon 6 feet on each side. Find the cost of painting it at 40$ a square yard. 83. On a bill of goods amounting to $900, I am offered a discount of 25%, or two successive discounts of 15% and 10%. Which would be more advantageous for me to accept, and how much more? 84. My gas meter, Jan. 1, registered 11800 cu. ft.; Feb. 1, 35800 cu. ft. I paid the bill before Feb. 10, receiving a discount of 2¢ on the even thousand. At 27¢ a thousand cubic feet, how much did I pay for the gas used in January? 85. Simplify: a. . 1431 23 3} 74+ 22 simphity: 4. 43-58 * 3171 o. 52-11 49 86. I imported from Canada 7500 yards of flannel valued at 80¢ a yard, and weighing 1480 pounds. Specific duty 22¢ per pound, and ad valorem duty 30%. Find the amount of duty paid. 87. The taxes on a property last year were #42, which were less than this year. Find the per cent of increase in taxes. HAM. SCH. ARITH, 88. A street 1 mile long and 30 feet wide is paved and curbed. The paving costs $3 a square yard, and the curbing 30¢ a linear foot. Find the entire cost. 89. Find the sum of the quotients : .01 ;.001 .1 -10 .001-.1 .01 ; .001 90. The specific gravity of milk is 1.032. Find the weight of 48 gallons of milk. 91. A hotel and farm sold for $ 6000 each. The hotel was sold at a gain of 20%, and the farm at a loss of 20%. Find the gain or loss on both sales. 92. The cost of insuring a dwelling at 3% is $33.75 a year, and the cost of insuring the furniture at 1% is $12.75. Find the amount of each policy. 93. Which produces the greater per cent of income and how much, 4% bonds at 75 or 5% bonds at 90 ? 94. Find the sum of the square roots of: .5625 226.5025 1101 100.2001 14831 95. I bought stock at 897, brokerage 1 %, and after receiving a dividend of 4%, sold at 1047, brokerage 1 %, clearing $150. Find the amount of stock purchased. 96. A town expends for improvements $6894. The assessed valuation is $480000. Find the rate levied to cover the expense, including the collector's commission estimated at $306. 97. A swimming pool is 30 meters long, 14 meters wide, and averages 1.5 meters in depth. Find the number of kiloliters of water it contains and its weight in kilograms. |