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Percents Word Problems Practice Questions Set 1 (page 2)

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Updated on Sep 26, 2011

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  1. c. If the cost of the pants is reduced by 8%, the cost of the pants is 92% of the original cost (100% – 8% = 92%). To find 92% of the original cost, multiply the original cost of the pants by the decimal equivalent of 92%; $24 × 0.92 = $22.08.
  2. c. If the number of points is increased by 25%, the number of points in his senior year is 125% of the number of points in his junior year (100% + 25% = 125%). To find 125% of the number of points in his junior year, multiply the junior year points by the decimal equivalent of 125%; 260 × 1.25 = 325. If you chose a, you calculated what his points would be if he scored 25% LESS than he did in his junior year.
  3. d. First, find the total of Brian's sales; $153,000 + $399,000 + $221,000 = $773,000. To find 2.5% of $773,000, multiply by the decimal equivalent of 2.5%; $773,000 × 0.025 = $19,325. If you chose a, you used the decimal 0.25, which is 25%, NOT 2.5%.
  4. c. Use a proportion to find the original cost of the frying pan; The $3.75 that was saved is part of the original price. The whole price is what we are looking for, so call it x. The % is 30 (the percent off); To solve the proportion, cross-multiply. (3.75)(100) = 30x. Divide both sides by 30 to solve for x;
  5. b. First, you must find how many baseball cards Peter had originally. Use a proportion to find the original number of baseball cards; The 14 baseball cards that he added to his collection is the part. The whole number of baseball cards is what we are looking for, so call it x. The % is 35 (the percent of increase); To solve the proportion, cross-multiply; (14)(100) = 35x. Divide both sides by 35 to solve for x; The original number of baseball cards was 40, and 14 more were added to the collection for a total of 54 cards.
  6. b. To find 70% of 30, you must multiply 30 by the decimal equivalent of 70% (0.70); 30 × 0.70 = 21. If you chose c, you calculated how many pages he has left to read after his break.
  7. c. Find 20% of $500 by multiplying $500 by the decimal equivalent of 20% (0.20); $500 × 0.20 = $100. She spent $100 on clothes, leaving her with $400. Find 35% of $400; 0.35 × 400 = $140. Julie spent $140 on computer equipment; $100 on clothes plus $140 on computer equipment totals $240 spent. If you chose a, you found 55% (20% + 35%) of the total without taking into account that the 35% was on the amount of money Julie had AFTER spending the original 20%.
  8. c. Since 5% sales tax was added to the cost of the coat, $68.25 is 105% of the original price of the coat. Use a proportion to find the original cost of the coat; Part is the price of the coat with the sales tax, $68.25. Whole is the original price on the coat that we are looking for. Call it x. The % is 105; To solve for x, cross-multiply; (68.25)(100) = 105x. Divide both sides by 105;
  9. c. The Dow lost 2%, so it is worth 98% of what it was worth at the beginning of the day (100% – 2% = 98%). To find 98% of 10,600, multiply 10,600 by the decimal equivalent of 98%; 10,600 × 0.98 = 10,388.
  10. c. First, find the number of residents who left Hamden by subtracting the new population from the old population; 350,000 – 329,000 = 21,000. The population decreased by 21,000. To find what percent this is of the original population, divide 21,000 by the original population of 350,000; 21,000 ÷ 350,000 = 0.06; 0.06 is equivalent to 6%. If you chose d, you found the decrease in relation to the NEW population (2000) when the decrease must be in relation to the original population (1990).
  11. c. Find 6% of $10.50 by multiplying $10.50 by 0.06 (the decimal equivalent of 6%); $10.50 × 0.06 = $0.63. If you chose b, you found 60% (0.6) instead of 6% (0.06).
  12. b. Divide $6 by $15 to find the percent; $6 ÷ $15 = 0.40; 0.40 is equivalent to 40%.
  13. b. To find 7% of $5,250, multiply $5,250 by the decimal equivalent of 7% (0.07); $5,250 × 0.07 = $367.50.
  14. b. To find 16% of $3,650, multiply $3,650 by the decimal equivalent of 16% (0.16); $3,650 × 0.16 = $584.
  15. d. Since Rebecca is 12.5% taller than Debbie, she is 112.5% of Debbie's height (100% + 12.5% = 112.5%). To find 112.5% of Debbie's height, multiply Debbie's height by the decimal equivalent of 112.5% (1.125); 64 × 1.125 = 72 inches. If you chose c, you found what Rebecca's height would be if she were 12.5% SHORTER than Debbie (you subtracted instead of added).
  16. a. Use the proportion to solve the problem; $1,325 is the part and 5% is the %.We are looking for the whole so we will call it x; Cross multiply; (1,325)(100) = 5x. Divide both sides by 5 to solve for x; If you chose b, you found 5% of her commission (5% of $1,325).
  17. a. Find the number of dollars off. $260 – $208 = $52. Next, determine what percent of the original price $52 is by dividing $52 by the original price, $260; $52 ÷ $260 = 0.20; 0.20 is equivalent to 20%.
  18. a. Determine the number of T-shirts sold; 80 – 12 = 68. To find what percent of the original number of shirts 68 is, divide 68 by 80; 68 ÷ 80 = 0.85; 0.85 is equivalent to 85%. If you chose b, you found the percent of T-shirts that were LEFT instead of the percent that had been SOLD.
  19. a. The printer is 15% off. That means that it is 85% of its original price (100% – 15% = 85%). To find 85% of $190, multiply $190 by the decimal equivalent of 85% (0.85); $190 × 0.85 = $161.50.
  20. b. To find 19% of 26, multiply 26 by the decimal equivalent of 19% (0.19); 26 × 0.19 = 4.94.

More practice problems on percents word problems can be found at:

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