Finding a given per cent of any number. 1. What is 20% of 300? Think of 20% of 300 as of 1. What is 7% of 245? 66% of 300 ? A given per cent of any number is found by multiplying the base by the rate. 15. 331% of 336 8. 72% of 328 16. In a school of 400 pupils, 45 % are girls. How many girls are there? how many boys? 17. A clerk who received $50 a month had his wages increased 15%. How much were his wages increased? 18. If iron ore yields 63 % of pure metal to the ton, how much iron is there in 40 tons of ore? 19. A merchant, failing in business, paid 85% of his debts. How much should a creditor receive whose claim is $2850? 20. A bill of goods cost $137.50. How much was gained by selling the goods at a profit of 12% ? 21. Compare 48% of $45 and 45% of $48. 22. I owe a debt of $246.50. If I pay 40% of it at one time, and 50% of the remainder at another time, how much do I still owe? 23. An automobile cost $3500 and the repairs for 2 years were 10% of the cost. If the automobile was sold at 40% reduction from the cost, find the entire loss. 24. The operating expenses of a factory are 45% of the sales. If the sales for a year amount to $650450, how much are the operating expenses? 25. 400 men were employed in a factory at daily wages averaging $1.95. If 100 of these men received 33% of the entire daily wages, find their average daily wages. Find the average daily wages of the other 300 men. 26. Three newsboys, John, James, and Henry earned together $550 in a year. John earned 40%, James 60% of the remainder, and Henry what remained. Find how much each earned. 27. 40% of a Western farm containing 600 acres is in wheat, 30% of the remainder in corn, 662% of the remainder in oats and grass. How many acres are there in each crop, and how much remains not cultivated? Finding what per cent one number is of another number. 1. What part of $10 is $5? Think $5 is 1⁄2 of $10, or 50% of $10. What % of: What % of $10 is $5? 1575.20 = 20% The unknown number is the rate. Since the percentage equals the base multiplied by the rate, the rate must equal the percentage divided by the base. 15 divided by 75 is .20, or 20%. Or, 15 is, or, or 20%, of 75. Test: 20% of 75 = 15. The rate equals the percentage divided by the base. What per cent of: 2. 25 is 10? 3. 32 is 12? 4. 65 is 39 ? 5. $96 is $72? 6. 621 A. is 61 A.? 7. 8 is §? 8. 4 is ? 9. 125 yd. is 75 yd.? 10. 4 bu. is 1 pk.? 12. 75 is 3.125? 13.is .125? 14. 1 is 21? 15. $18 is $45? 16. 10 qt. is 36 qt.? 18. Out of 350 words, I spelled 315 correctly. per cent did I make in spelling? 17. $3 is 18 cents? What What 19. From a farm of 160 acres, 24 acres were sold. per cent was sold? 20. If a man saves $262.50 out of his salary of $1250, what per cent does he save? 21. A farmer raised 150 bu. of potatoes from 6 bu. of seed. What per cent of the crop was the seed? 22. A merchant owes $8750 and his assets are $3675. What per cent of his debts can he pay? 23. A pupil misspelled 35 words out of 80. cent did he spell correctly? 24. .875 is what per cent of .3125? What per 25. I paid $5.25 for the use of $75. What per cent did I pay? 26. A son, on receiving $5000 from his father, bought a farm for $2750, a store for $1875, and deposited the rest in a bank. What per cent of his inheritance did he deposit? 27. A house rents for $240 a year. The taxes and insurance are $30. If the property is valued at $3500, what per cent does the owner realize on the value of the property? Finding the number when a per cent of it is given. 1. If of a number is 10, what is the number? If 20% of a number is 10, what is the number? 2. If 331% of a man's loss is $300, how much does he lose? 3. If 87% of a man's gain is $70, how much does he gain? What is the number of which: 1. Find the number if 33% of it is 3135. (a) 3135÷.33 = 9500 The unknown number is the base. Since the percentage equals the base multiplied by the rate, the base equals the percentage divided by the rate, 3125 ÷ .33 = 9500, the number. Test: .33 of 9500 3135. 2. Find the (b) 81% = 1/2 250 × 12 = 3000 number if 81% of it equals 250. of it. 83% of the number equals The base equals the percentage divided by the rate. |