49. A farmer raised 160 bushels of apples, and sold 80% of the whole. How many did he sell?

50. Of $500, I have invested in the United States bonds 40%, and the remainder in land. How much have I invested in stock, and how much in land?

51. From a deposit of $1800 in a bank, I have taken out 62%; how much remains?

52. My carriage cost $250, and my horse 60% as much. How much did my horse cost?

To find the Per Cent one Number is of another.

53. What per cent of 12 is 3?

Solution. As 1 is of 12, 3 is of 12; and 11⁄21⁄2 = = .25, or 25 %.

54. What per cent of 35 yards are 7 yards?

55. If the cost of raising corn is 9 bushels for every 27 grown, what is the cost per cent?

56. What per cent of $ 28 is $7?

57. If you should spend $6 for every $50 earned, what per cent of your earnings would you spend ?

WRITTEN EXERCISES.

58. What per cent of 128 yards are 16 yards?

59. What per cent of $124 is $18.60?

60. What per cent of 160 miles are 8 miles?

170. To find the per cent one number is of another:

Rule.

Divide the number denoting the per cent by that on which the per cent is reckoned, and extend the division to hundredths.

69. If American gold coin is 9 parts pure gold to 1 part alloy, what per cent is alloy ?

70. If a miller takes 4 quarts toll for grinding 32 quarts, what per cent is the toll?

71. A farmer's flock of 120 sheep was increased to 156. What was the increase per cent.

72. I have a farm of 160 acres; 120 acres of it is in pasture. What per cent of the whole is that?

73. John is 12 years old, and his father 54 years. What per cent is John's age of that of his father?

To Find a Number when a Per Cent of it is given.

74. 25 is 5% of what number?

Solution. As 5% of the number is 25, 1 % of it is of 25, or 5; 100 %, or the number, must be 100 times 5, or 500.

75. Of the money I had given me, I have left 3%, which is $30. What sum had been given me?

76. A farmer

sold 32 bushels of wheat, which was

8% of his crop.

How much was his crop?

77. Mary has 24 peaches, which is 12% of the number which grew upon a tree. What number grew upon the tree ?

78. A boy sold some oranges for 15 % more than cost, and made 45 cents. What was the cost of the oranges ?

WRITTEN EXERCISES.

79. $35.50 is 25 % of what number?

$35.50.25 = $142.

Or,

$142

25) $3550

25

105

100

50

50

Solution.

is 25% of the number, 1% of it is of $35.50, which is $1.42, and 100 %, or the number, is 100 times $1.42, or $142.

Or as $35.50 is 25 %, or .25, of the number, that number must be

of $35.50, or, mak

ing divisor and dividend integers (Art. 130), of $3550, which

is $142.

80. 120 is 75 % of what number?

81. $7.20 is 8 % of what number?

171. To find a number when a per cent of it is given:

Rule.

Divide the per cent by the given rate.

88. Jane gave for a bonnet $15, which was 60% of the cost of her cloak. What was the cost of her cloak ?

89. Paid $90 for a horse, which was 75% of the cost of a carriage. What was the cost of the carriage?

APPLICATIONS OF PERCENTAGE.

90. Sold a watch which cost me $40, at a profit of 20%. How much did I gain?

Solution. As 20% is .20, or }, the gain was } of $ 40, which is $8.

91. Bought flour at $6 a barrel, and sold it at a profit of 25%. How much was gained on a barrel ?

92. Sold tea which cost 50 cents a pound at a loss of 10%. What was the loss a pound?

93. Sold a horse, which cost $120, at a profit of 10 %. For how much was he sold ?

Solution.

-As the horse was sold at a profit of 10 %, he was sold at 10% above $120. 10% of $120 is $ 12, and 10% above $120 is $120 +$12, which is $ 132.

94. A merchant wishes to get a profit of 25% on coffee which cost him 32 cents a pound. What must be his selling price a pound?

95. If you have a book which cost you $4.40, at what price must you sell it to gain 121% ?

$8.

96. Sold a watch which cost me $40 at a profit of

What rate was the profit?

Solution. As $8 is of $40, and = or .20, the rate was 20 %.

97. Sold flour which cost $8 a barrel at a profit of $2 a barrel. What rate was the profit?

98. Sold tea which cost 50 cents at a loss of 5 cents. What rate was the loss?

99. Sold a horse which cost $120 for $132. What rate was the gain?

100. By selling a barrel of flour at 25% above cost I gained $2. What was the cost?

Solution. As 25 % is .25 or 4, the gain was of the cost, and if $2 is of the cost, 4 times, or the cost, must be 4 times $2, which is $8.

101. By selling butter at 10% below cost, I lost 4 cents a pound. What was the cost?

102. If by selling a horse at 25 % above cost, I gained $30, what was the cost?

103. If I lose 20% by selling cloth at $1 a yard below cost, what was the cost a yard?

WRITTEN EXERCISES.

104. A house cost me $3500. What can I gain by selling it at a profit of 41% ?

105. A merchant sells goods, which cost him $1648 at a profit of 5%. How much did he gain?

106. If stocks bought for $300 should advance 91%, what would be the gain?