78. In an orchard there were 400 pear trees which was 331% less than the number of apple trees. How many apple trees were there? 79. A man bought a horse and carriage; he sold them both at 8% above cost, receiving $81 for the horse, and $108 for the carriage. What was the cost of both? 80. In a basket of pineapples 96 were good, and 4% were bad. How many pineapples were there altogether in the basket? 81. B sold a horse to C, and gained 121%; C sold it to D for $118, and thereby gained 18%. How much did the horse cost B? 82. I sold wheat so as to gain 16 cents on a bushel, which was 12% of what it cost. What was the cost? 83. A rosebush had 200 roses; 50 of them were plucked and 25 were blown off by the wind. What % of the whole remained on the bush? 84. A broker exchanged $150 at 1%. How much brokerage did he receive? 85. What % would be gained by selling apples at of their cost? 86. If I buy stoves at $12 each, and sell them at 81% profit, how much shall I gain on 1 stove? 87. If a broker buys $ 800 worth of bank stock for me, and charges 1% brokerage, how much will he receive? 88. A dairyman churned 250 pounds of butter which was 40% of the quantity he had promised to deliver. How much more must he churn? 89. Mr. A. lends his money so as to receive a sum equal to of it for its use. What % does he receive? 90. A man agreed to dig a farmer's potatoes for 8% of what he should put into the farmer's cellar; he dug 324 bushels. How many bushels should be put into the cellar, and how many bushels should the man receive? 91. A merchant sends a buyer $520 with which to purchase goods, after deducting his commission of 4%. How much does the agent spend, and how much does his commission amount to? SUGGESTION. -$520 includes the amount spent and the 4% commission. Therefore $520 is 104% of the amount spent. 92. A man bought $200 worth of dry goods, and $300 worth of groceries. He sold the dry goods at a loss of 20%, but gained 15% in selling the groceries. Did he gain or lose on the whole capital, and how much? 93. A merchant bought 40 bushels of grass seed, at the rate of 4 bushels for $6, and sold it at the rate of 5 bushels for $8. What was his whole gain, and what was his gain per cent? 94. A drover bought 20 sheep for $ 50, and sold them so as to gain 20%. How much did he receive a head for them? 95. A man bought 60 cords of wood for $200, and sold the wood at a loss of 5%. At what price did he sell per cord? it 96. If one pupil writes 5 lines for every 4 that his companion writes, what per cent faster does the first write than the second? 97. A desk that cost $20 was sold at auction for $18. What was the loss per cent? 98. A boy bought peaches at the rate of 3 for 2 cents, and sold them at the rate of 9 for 7 cents. his gain per cent? 99. A tailor sold two coats for $26 each. he gained 30%, and on the other he lost 30%. gain or lose on both, and how much? What was On one Did he 100. Two men buy a lot of pork together. A furnishes $ 200, and B $ 150. Their joint profits are $ 70. What is their gain per cent, and what is each one's share of the gain? INTEREST. 116. Interest is a sum paid for the use of money. 117. The Principal is the money for the use of which the interest is paid. 118. The Amount is the sum of the principal and interest. 119. The Rate Per Cent per annum is the per cent paid for the use of the money annually. Thus the interest of any sum for one year at 5% is 150 or 2% of the principal, and 5% is the rate. 120. Practically 30 days are considered a month, and 12 months a year, in computing interest. 121. 1. What is the yearly interest of $ 80, at 5% ? SOLUTION.5% of $80 = $4. Find the yearly interest of: 2. $200 at 6% 3. $125 at 4% 4. $60 at 7% 7. $224 at 121% 8. $96.32 at 61% 9. $144.60 at 81% 14. What is the interest of $150 for 3 years at 8% ? SOLUTION. -The interest of $150 for 1 year at 8%, is 18 of $150, or $12; the interest for 3 years is 3 × $ 12, or $ 36. Find the interest of: 15. $30 for 2 years at 5% 16. $50 for 4 years at 6% 17. $90 for 5 years at 7% 23. What is the amount of $30 for 2 years at 5% ? SOLUTION. The interest of $30 for 2 years at 5% is $3; the amount is $30+ $3 = $ 33. Find the amount of each of the following sums for 3 years, at 6%: SOLUTION. 39. $25 for 1 yr. at 4% 40. $78 for 5 yr. at 12% 41. $120 for 6 yr. at 8% 42. What is the interest of $40 for 3 yr. 4 mo. at 6%? -3 yr. 4 mo. = 3 yr., or 10 of a year; the interest of $40 for 1 yr., at 6%, is $2.40; the interest for 10 of a year is 10 of $2.40. which is $8. Find the interest and amount of: 43. $150 for 2 yr. 10 mo. at 8% 45. $240 for 1 yr. 9 mo. at 5% 47. $120 for 5 yr. 8 mo. at 71% 48. $50 for 7 mo. at 8% 49. $90 for 4 yr. 7 mo. at 4% 50. $128 for 9 mo. at 5% 51. What is the interest of $50 for 5 yr. 7 mo. and 15 da. at 8% ? 3609 5+ SOLUTION.7 mo. yr.; 15 da. = 3, or 4 of a yr.; 15 72 + 24 = 514 = 45. Since the interest of $50 for 1 year at 8% is $4, for 45 of a year it is 45 × $4, which is $ 45 or $ 22. Or, the interest of $1 for 45 yr. at 8% is 45 x $.08 = $.45, and the interest of $50 is 50 x $.45: $22.50. Find the interest and amount of: 52. $70 for 4 yr. 5 mo. 10 da. at 9% 54. $300 for 4 yr. 7 mo. 15 da. at 8% 58. $36.72 for 5 yr. 6 mo. 20 da. at 7% 62. $1500 for 2 mo. 24 da. at 6% a a a t |