4. If 121% of the number of geese a man raised is 22, find the number of geese. 5. 72 acres equals 331% of the number of acres in a farm. How many acres are there in the farm? 6. How can you find the whole quantity from 25% of it? From 66% of it? From 371% of it? 7. If 25% of a quantity of corn is 36 bu., find the whole quantity. 8. If a farmer sold 621% of his potatoes, what per cent of his potatoes remained? 9. After a farmer sold 621% of his potatoes he had 36 bu. remaining. How many bushels had he at first? 10. $7 is 60% of the cost of an overcoat. price of the coat. 11. 21 yr. is 16% of a young man's age. age? Find the What is his 12. If 60 is 2% of a number, what is the number? 13. Name the number of which 32 is 8%. 14. If 21 lb. is 35% of the weight of a bushel of wheat, what is its weight? 15. 125 is 25% of what number? OPERATION 125.25 500 Ans. = If 125 is 25% of a certain number, it is .25 of it. If a certain number multiplied by .25 gives a product of 125, it is evident that the number must equal 125 divided by .25 or 500. 16. 112 is 8% of what number? 20. 720 is 36% of what number? 21. 840 is 14% of what number? 22. $150 is 3% of how many dollars? 23. 640 cu. ft. is 32% of how many cubic yards? 24. 360 sq. rd. is 45% of how acres? LESSON 57 1. 2400 lb. equals 371% of how many bushels of wheat? 2. 931 is 32% of what number? 3. 129 is 56% of what number? 4. 46.5 is 45% of what number? 5. 353.3 is 49.6% of what number? 6. A grain speculator gained $5460 in 1900, which was 75% of what he gained in 1899. How much did he gain in 1899 ? 7. A coal dealer sold 37,800 tons of coal in December, which was 87% of what he sold in January, and 621% of what he sold in February. How many tons did he sell in January and February respectively? 8. A coal dealer bought 80 tons of coal for $300. After allowing 10% for waste, he retailed the remainder so as to gain 20% on his investment. Find the retail price per ton. 9. A miller owning 37% of a mill, valued at $5000, sold his share for 20% more than its value. How much did he receive? 10. Mr. Riley failed in business and paid only 35% of his debts. How much did Mr. Koerner lose if Riley owed him $3750? 11. What part of a quantity is 100% of it? 125% of it? 130% of it? 150% of it? 175% of it? 12. What is 120% of 400 bu. of corn? 13. What is 125% of 80 miles? 14. What is 150% of 726 sq. rd.? 15. A butcher sold a cow for $75, and thereby gained 25%. How much did the butcher pay for it? SUGGESTION. The butcher sold it for 100% +25%, or 125% of its cost. Therefore $75 = 125, or of its cost. 16. What number increased by of itself equals 36? 17. What number increased by 121% of itself equals 45 ? 18. What number increased by 163% of itself equals 140? LESSON 58 1. What number increased by 40% of itself equals 847 ? OPERATION 847 1.40 605 Ans. = A number increased by 40% of itself equals 140% of the number, or 1.40 times the number. Hence the number equals 847 ÷ 1.40, or 605. 2. 588 is 20% more than what number? 3. 1020 is 1331% of what number? 4. What number increased by 3.5% of itself equals 414? 5. What fraction increased by 45% of itself equals ??? 6. What number diminished by 20% of itself equals 936? OPERATION 936.80 1170 Ans. = A number diminished by 20% of itself equals 80%, or .80 of the number. Therefore, 936 must equal .80 of the number. The number equals 936.80, or 1170. 7. 3750 is 331% less than what number? 8. 980 rd. is 51% less than how many miles? 9. 4946.05 is 22% less than what number? 10. of of of a bushel is 25% of how many bushels? 11. 81 mi. 120 rd. equal 121% less than the distance from New York to Philadelphia. What is the entire distance? 12. 140 fathoms equal 871% of how many feet? 13. 360 acres equal 22% of how many acres? 14. 4 is what part of 8? 4 is what per cent of 8? 15. 1 is what part of 5? What per cent of 5? what part of 5? What per cent of 5? 3? 3 is 2? 3? 4? 8? 9? 16. What per cent of 4 is 1? 2? 20? 8? 5? 2? What per cent of 1 is ? ? ? ? ?? ? ?? ? ? 1. What number diminished by 662% of itself equals .2? 41? .7? 3.5? 7? 5.6? 2. A farmer, after selling 75% of his apples, had 9 bu. 3 pk. remaining. How many bushels had he at first? 3. If you buy a turkey for $1.50 and sell it for $2, what is your gain? The gain is what part of the cost? What per cent? 4. If you buy for 5 and sell for 6, the gain is what part of the cost? 5. If you buy part of the cost? 6. If you buy part of the cost? 7. If you buy What per cent? for 84 and sell for 104, the gain is what for 10% and sell for 84, the loss is what for $ and sell for $3, the loss is what part of the cost? What per cent? 8. A man sold a stove for $5 more than it cost him, thereby gaining 163%. The gain is what part of the cost? Find the cost of the stove. The selling price. 9. What per cent of 450 is 90 ? OPERATION We find by division that 90 is .20 of 450, 90 ÷ 450.20 20% Ans. and .20 of anything is 20% of it. = 10. What per cent of $180 is $60? Of $130 is $19.50? 11. What per cent of 4600 lb. is 575 lb.? 146 T.? Of 365 T. is 12. What per cent of 360 da. is 300 da.? Of 184 qt. is 5 gal.? 13. A man bought an automobile for $900 and sold it for $800. How much did he lose? What was the loss per cent? 14. A farmer has 480 acres of land. 48 acres are planted with corn, 96 acres with wheat, 144 acres with rye. What per cent of his land is planted with corn? With wheat? With rye? 15. The distance from New York to Philadelphia is about 96 miles. What per cent of the distance has a man gone over when he has traveled 60 mi.? 36 mi.? 84 mi.? 96 mi.? |