Chapter 6: Percents

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42430_Cleaves_ch06 4/12/04 1:23 PM Page 195 NAME DATE <strong>Chapter</strong> 6 Exercises Set B Write the decimal as a percent. 1. 0.675 0.675 100% 0.67.5; 67.5% 2. 2.63 2.63 100% 2.63.; 263% 3. 0.007 0.007 100% 0.00.7; 0.7% 4. 3.741 3.741 100% 3.74.1; 374.1% 5. 0.0004 0.0004 100% 0.00.04; 0.04% 6. 0.6 0.6 100% 0.60.; 60% 7. 0.242 0.242 100% 0.24.2; 24.2% 10. 0.03 0.03 100% 0.03.; 3% 8. 0.811 0.811 100% 0.81.1; 81.1% 9. 2.54 2.54 100% 2.54.; 254% Write the fraction or mixed number as a percent. Round to the nearest hundredth of a percent if necessary. 11. 99 100 99 100 % × = 99% 100 1 1 1 12. 20 100 20 100 % × = 20% 100 1 1 1 13. 13 20 13 100 % × = 65% 20 1 1 5 14. 3 2 5 3 2 17 100 % × 100% = × = 340% 5 5 1 1 20 15. 2 5 2 100 % × = 5 1 1 20 40% Write the percent as a decimal. 16. 84.6% 84.6% 100% 0.846 17. 52% 52% 100% 0.52 18. 3% 3% 100% 0.03 19. 0.02% 0.02% 100% 0.0002 20. 274% 274% 100% 2.74 Write the percent as a whole number, mixed number, or fraction, reduced to lowest terms. 21. 20% 22. 170% 20 20% ÷ 100% = = 100 1 5 170 17 170% ÷ 100% = = = 100 10 1 7 10 23. 361% 361 361% ÷ 100% = = 100 3 61 100 24. 25% 25 25% ÷ 100% = = 100 1 4 25. 12 1 2 % 12 1 12 1 1 100 2 25 100 25 1 % ÷ % = = ÷ = × = 2 100 2 1 2 100 4 1 8 195
42430_Cleaves_ch06 4/12/04 1:23 PM Page 196 Percent Fraction 2 Decimal 27. 50% _______ 2 _______ 0.5 28. 87 1 7 _______ _______ 2 % 8 0.875 9 26. _______ 40% 5 1 _______ 0.4 29. _______ 45% _______ 20 0.45 26. 2 100% 27. × = 40% 5 1 1 04 520 . . ) 20 50 50% ÷ 100% = = 100 50% ÷ 100% = 0. 5 7 28. 87 1 100 87 1 175 1 7 % ÷ % = ÷ 100 = × = 29. 045 . × 100% = 45% 2 2 2 100 8 45 9 045 . = = 100 20 87 1 4 % = 87. 5% ÷ 100% = 0. 875 2 1 2 Find P, R, or B using the percentage formula or one of its forms. 30. B $1,900, R 106% P = RB P = $, 1 900( 106%) P = $, 1 900(. 1 06) P = $ 2, 014 31. P 170, B 85 P R = B 170 R = 85 R = 2 R = 200% 32. P $15.50, R 7.75% P B = R $ 15. 50 B = 775 . % $ 15. 50 B = . 0775 B = $ 200 Round decimals to the nearest hundredth and percents to the nearest whole number percent. 33. P 68, B 85 P R = B 68 R = 85 R = 08 . R = 80% 34. R 72%, B 16 P = RB P = 72%( 16) P = 07216 . ( ) P = 11. 52 35. P 52, R 17% P B = R 52 B = 17% 52 B = 017 . B = 305. 88 Use the percentage formula or one of its forms. 36. Find 150% of 20. P RB; P 1.5(20); P 30 38. 27 is what percent of 9? P 27 R = ; R = ; R = 3 × 100%; R = 300% B 9 40. If a picture frame costs $30 and the tax on the frame is 6% of the cost, how much is the tax on the picture frame? $30(0.06) $1.80 tax 42. The United Way expects to raise $63 million in its current drive. The chairperson projects that 60% of the funds will be raised in the first 12 weeks. How many dollars are expected to be raised in the first 12 weeks? $63,000,000(0.6) $37,800,000 44. Last year Docie Johnson had net sales of $582,496. This year her sales decreased by 12%. What were her net sales this year? Rate of this year’ s sales = 100% −12% = 88% or 0.88 Rate of this This year sales amount = year sales × last year sales This year sales amount = 088582 . ( , 496) = $ 512, 596. 48 196 37. 82% of what number is 94.3? P B = R ; B = 94. 3 ; 082 . B =115 39. Ernestine Monahan draws $1,800 monthly retirement. On January 1, she received a 3% cost of living increase. How much was the increase? $1,800(0.03) $54 41. Five percent of a batch of fuses were found to be faulty during an inspection. If 27 fuses were faulty, how many fuses were inspected? 27 = 540 fuses 005 . 43. An accountant who is currently earning $42,380 annually expects a 6.5% raise. What is the amount of the expected raise? $42,380(0.065) $2,754.70 45. The price of Internet service decreased by 7% to $52. What was the original price to the nearest dollar? Rate of reduced price = 100% − 7% = 93% or 0.93 52 Original price = 093 . = $ 55. 9139 = $ 56
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Chapter 6: Percents

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