Here is the standing of the American League teams and the National League teams at the close of a recent baseball season, showing the games won and lost by each team. The New York Americans won 61% of their games and the New York Nationals won 60.4% of their games. Find the other per cents by dividing the number of games each. team won by the total number of games it played. Carry the result to three decimal places. Since two factors multiplied together are equal to a product, either factor is equal to the product divided by the other factor. That is, as factor X factor = product, then, product one factor other factor. = Finding a Number when a per Cent of it is Given The principle just given enables us to find a number when a part of it or a per cent of it is known. A. 36 is of what number? Calling the required number N, we have Here one factor is, the other factor N, and the 1. A phonograph was sold for $20. This was 66% of what it cost. How much did it cost? 2. A city lot is 48 ft. wide. This is 60% of its depth. How deep is it? 3. At 5% interest a man derived an annual income of $40 from a loan. How much was the loan? 4. The expenses of an entertainment were $70. This was 35% of the receipts. How much money was taken in? 5. Robert sold his bicycle for $26. This was 65% of what it cost him. How much did the bicycle cost? 6. Mr. Jacobs bought a lot for $1,800. This is 30% of what it cost to build a house on it. How much did the house cost? 120 boys were present. 7. At a boys' club meeting, This is 75% of the membership. How many boys belong? 8. Mr. Peters sold a horse for $240, gaining 20%. How much did the horse cost him? (A gain of 20% means 120%, or of the cost.) 9. Mr. Brown sold his house for $4,250 at a loss of 15%How much did the house cost him? (A loss of 15% means 85% of the cost.) may be used in all cases of percentage. In using the principle, remember that "of" means multiply. 1. Sixty-five per cent of a certain kind of brass is copper. How many pounds of copper are in 500 lb. of this brass? 2. Mr. Walker bought an automobile for $1,200. When he sold it two years later, he found that it had lost 45% of its value. What was it worth then? 3. A man whose salary is $3,000 a year pays 16% of his salary for rent. How much is his rent per year? per month? 4. Robert has $36 in the bank and his older brother Richard has $48. Robert's bank account is what per cent of Richard's? 5. The Columbia River is 331% as long as the Mississippi River, which is 4,200 miles long. How long is the Columbia River? 6. Mr. Johnson raised 64 acres of corn this year. This is 80% of the amount he raised last year. How many acres did he raise last year? 7. Last summer Bob Reynolds won 72 of the 120 sets of tennis he played. What per cent of the sets did he win? 8. One week Mr. Benson saved $15. This was 30% of his week's salary. How much does he earn per week? 9. One day 6% of the 450 Barrows School pupils and 5% of the 580 Washington School pupils were absent. What was the combined attendance of both schools that day? 10. A man accepted a position at a salary of $2,000 with the understanding that his salary would be increased 10% the next year. How much did his salary amount to in these two years? 11. A man paid $450 cash on a $750 automobile. per cent of the cost was the cash payment? What 12. A dealer ordered 80 bicycles. Thirty-five per cent of them came on the first shipment. this shipment? How many came on |