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 results. 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? * $350.15 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, 693 times; so 625 is 69% (hundredths) of 90.). 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 If to FRACTIONS. 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. 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. Algebra. 217. MISCELLANEOUS PROBLEMS. 1. Harry has some marbles; Joseph has 8 more than as many as Harry; together they have 68. How many has each? 2. William has 12 more than as many cents as Lucius ; together they have 87 cents. How many cents has each ? 3. If to the half of a certain number you add a third of the number, the sum will be 5 more than 3 fourths of the number. What is the number? 4. If to of a number you add of the same number, the sum will be 12 more than number? of the number. What is the 5. If to a certain number you add 5 times the number, the sum will be 24 more than 4 times the number. What is the number? 6. If to will be a. of a number you add 3 of the number the sum What is the number? Observe that you may put in the place of a any number you please; hence any number is § of the sum of its half and third. Reason in a similar manner with reference to the half and fourth of a number; to the third and fourth. |