11. If a man buys 24 A. of land at $84 an acre, what must be the annual income that the investment may yield 10%? 12. A grocer bought 40 cwt. of sugar for $240. 4% of it is wasted, and the remainder is retailed so that there is neither loss or gain. What is the retail price per pound? 13. A stone-mason contracted to dig a cellar 45 ft. long, 36 ft. wide, and 6 ft. deep at 25 cts. a cubic yard. He lost 5% of his contract price. What was his loss? 14. A coal-dealer bought 25,784 t. of coal at $5 a ton. He sold 40% of it at $7, 20% at $8.50, and the remainder at $4.50. How much did he gain? 15. A gentleman owns 2 farms. The first contains 360 A., and the number of acres in the second is 150% of the number of acres in the first. Find the number in the second farm. 203. What per cent of 20 is 5? First find what part of 20 is 5. 5 is or of 20, and 25% Ex. 132. 1. From a school of 150 scholars, 50 are absent. What per cent of the whole is the number present? 2. In a school numbering 200 the daily average attendance is 160. What is the per cent of attendance? The number absent on the average is what per cent of the number present? 3. A person bought a house and lot for $6000, paying $5000 for the house. The value of the lot is what per cent of the value of the house? 4. From a peck of corn a crop of 484 bu. was raised. What per cent was the increase? 5. From 67 bu. of corn, 6 bu. 3 pks. are sold. What per cent of the whole is sold? 6. A house worth $8000 rents for $720 a year. What per cent of its value does it rent for? 7. From Delhi to Bombay the distance is 720 miles, and from Delhi to Madras 1080 miles. What per cent of the distance to Madras is the distance to Bombay? 8. Westminster Hall is 270 ft. long and 75 ft. broad. What per cent of the length is the breadth? 9. The Peak of Teneriffe is 12,232 ft. high. What per cent of a mile is its height? 10. The Danube is 1630 miles long, and the Missouri from its source to the Gulf of Mexico is 4000 miles long. What per cent of the length of the Missouri is the length of the Danube? 11. What per cent of 7 hrs. and 30 min. are 63 min.? 12. What per cent of 3 wks. and 4 dys. are 3 dys. and 10 hrs.? 204. What is the number of which 15 is 5% ? If 15 is 5%, then 15 is 1 or 2 of the number, and, if 15 is of the number, the number itself will be 20 x 15 300. 1. 10.08 is 16% of what number? 9. 980 is 175% of what number? 10. A city in 5 yrs. increased 12,000 in population, a gain of 25%. What was the population at the beginning and end of the 5 yrs.? 11. A schoolboy in one week read 450 lines of Latin, which was 75% of the number in the book. How many lines had he still to read? 12. A boy sold chestnuts at 12 cts. a quart, which was 200% of their cost. What did they cost a bushel ? 13. A clerk spent 60% of his salary for board, 20% of it for clothes, 11% for books, and saved $117. What was his salary? 14. At Christmas a lady gave her daughter an atlas worth $27, and of the cost of the atlas was 90% of the sum paid for an engraving. What was the sum paid for the engraving? 15. A sea-captain owning 60% of a vessel gave to his son 50% of his share, which was worth $6000. What was the value of the vessel? 16. A gentleman worth $50,000 gave 30% of his property to his son, and this gift was 80% of the property which the son already owned. Find the amount the son was worth after receiving his father's gift. 205. By selling a horse for $90, a man gains 20% of its cost. Find the cost. He gets the cost and 20% of the cost, or 120% of the cost. The question therefore is, $90 are 120% of how many dollars? A man sold a horse for $90, and lost 25% of the cost. What did the horse cost? He got the cost minus 25% of the cost, or 75% of the cost. The question therefore is, $90 are 75% of how many dollars? Ex. 135. (Oral.) 1. 36 is 121% more than what number? 2. 65 is 61% less than what number? more than what number? 3. 68 is 61% 4. 75 is 121% less than what number? 5. By selling a hat for $5.40, I sell it for 20% more What was the cost? than the cost. 6. A manufacturer sells mowing-machines at $125 apiece, and gains 40%. What do they cost? 7. Sold a carriage for $240, which was 20% more than the cost. What was the cost? 8. 64 is 331% more than what number? 9. What number diminished by 5% of itself equals 190? 10. What number diminished by 10% of itself equals 180? Ex. 136. 1. 874 is 331% less than what number? 2. 1740 is 20% more than what number? 3. 40% of 4000 is 20% less than what number? 4. What number diminished by 15% of the number equals 5100? 5. What fraction increased by 25% of itself equals 1? 6. 7500 is 331% less than what number? 7. A drover sold 250 sheep for $1150, which was 15% more than they cost. Find the cost of the sheep per head. 8. At a forced sale, a bankrupt sold his house for $8000, which was 20% less than its real value. If the house had been sold for $12,000, what per cent above its real value would it have brought? 9. A flock of sheep has been increased by 250% of its number, and now numbers 1050. What is the original number? 10. If 20% be lost on a ton of rye-straw sold for $19.20, what is the cost of the straw? |