Percentage. 214. CASE II. 673.20 is 17 per cent (.17) of what number? Observe that in the second operation we simply divide the number by 17 hundredths. Dividing by .17 is finding 100 of the dividend, just as dividing by 3 is finding of the dividend, and dividing by is finding of the dividend. NOTE.-Sometimes the process may be shortened by writing the per cent as a common fraction and reducing it to its lowest terms; then using the reduced fraction instead of the one whose denominator is 100. PROBLEMS. 1. 360 is 15% of what number? Percentage. CASE II.-Continued. PROBLEMS. 1. $34.32 is 13 per cent of what? 6. $64.98 is 19 per cent of what? 7. $64.98 is 12 per cent of what? 8. $64.98 is 20 per cent of what? 9. $64.98 is 24 per cent of what? 10. $64.98 is 25 per cent of what? (a) Find the sum of the ten resuits. 11. A sold goods for B. As remuneration for his services A received a sum equal to 12% of the sales. He received $33.06. What was the amount of his sales? How much money does B have left of what he received for the goods after paying out of it A's commission? 12. C is a collector of money. For this service he charges a commission of 6%; that is, his pay is 6% of the amount collected. His commission on a certain collection was $74.40. What was the amount collected? How much should the man for whom he collected the money, receive? 13. C collected a sum of money for D, deducted his commission of 6%, and paid the remainder of the sum collected to D. He paid D $350.15*. What was the sum collected? How much money did C retain as his commission for collecting? *8350.15 is what % of the amount collected? One hundredth of 900 is 9; then 625 is as many hundredths of 900, as 9 is contained times in 625. 9 is contained in 625, 694 times; so 625 is 69% (hundredths) of 900. Solve each of the following problems by each of the methods given above. What per cent (how many hundredths) of 800 is-(2) 375? (3) 475? (4) 350? (1) 250? (a) Find the sum of the five results. (5) 150? (a) Find the sum of the first five results. 23. A sold goods for B to the amount of $346.25; he received as his commission for selling the goods, $41.55. His commission was what per cent of the sales? 24. C collected for D $643.50; he retained as his commission for collecting the money, $38.61. His commission was what per cent of the sales? 25. F purchased 256 barrels of apples; he lost by decay a quantity equal to 16 barrels. What % of his apples did he lose? Algebra. (Review Page 117.) 216. PROBLEMS LEADING TO EQUATIONS CONTAINING FRACTIONS. If to of Bernie's money you add of his money the sum is $63. How much money has he? Let x = the number of dollars he has. Thus we find that Bernie has 108 dollars. 1. If to of a certain number you add of the same number, the sum is 45. What is the number? of 2. A lady upon being asked her age replied: If from my age you subtract of my age the remainder will be 9 years. How old was she? 3. The sum of two numbers is 72, and the less number equals of the greater number. What are the numbers? Let x = the greater number. 4. The sum of two numbers is 75, and the less number equals of the greater number. What are the numbers? 5. The difference of two numbers is 30, and the less number equals of the greater number. What are the numbers? * Observe that the equation might have been cleared of fractions by multiplying both its members by 12, the 1. c. m. of 3 and 4. |