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Percents Word Problems Practice Questions Set 3 (page 2)

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Updated on Sep 26, 2011

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  1. c. Find 17% by multiplying $65 by the decimal equivalent of 17% (0.17); $65 × 0.17 = $11.05. The tip is $11.05.
  2. a. Find 54% of 23,500 by multiplying 23,500 by the decimal equivalent of 54% (0.54); 23,500 × 0.54 = 12,690; 12,690 people are expected to vote for Mr. Salva.
  3. c. The original price of the bike is 100%. If the sale takes 30% off the price, it will leave 70% of the original price (100% – 30% = 70%).
  4. b. Find 13.5% of $10 and subtract it from $10. Find 13.5% of $10 by multiplying $10 by the decimal equivalent of 13.5% (0.135); $10 × 0.135 = $1.35; $1.35 is taken off the price of the mittens. Subtract $1.35 from $10 to find the sale price; $10 – $1.35 = $8.65. The sale price is $8.65.
  5. Another way to compute the sale price is to find what percent is left after taking the discount. The original price was 100% and 13.5% is taken off; 86.5% is left (100% – 13.5% = 86.5%). Find 86.5% of the original cost by multiplying $10 by the decimal equivalent of 86.5% (0.865); $10 × 0.865 = $8.65.

  6. a. Use a proportion to solve the problem; The Whole is $1,500 and the part is $525. You are looking for the %, so it is x. To solve the proportion, cross-multiply, set the cross-products equal to each other, and solve as shown below.
  7. They have raised 35% of the goal.

    Another way to find the percent is to divide the part by the Whole, which gives you a decimal. Convert the decimal into a percent by multiplying by 100 (move the decimal point two places to the right);

  8. c. Find 32% of $5,000 by multiplying $5,000 by the decimal equivalent of 32% (0.32); $5,000 × 0.32 = $1,600.
  9. a. Divide the part by the Whole; 1,152 ÷ 3,600 = 0.32. Change the decimal to a percent by multiplying by 100 (move the decimal point two places to the right); 32% of the people surveyed said that they work more than 40 hours a week.
  10. Another way to find the answer is to use a proportion; The part is 1,152, the Whole is 3,600, and the % is x. To solve the proportion, cross-multiply, set the cross-products equal to each other, and solve as shown below.

  11. b. Find 15% of 60 inches and add it to 60 inches. Find 15% by multiplying 60 by the decimal equivalent of 15% (0.15); 60 × 0.15 = 9. Add 9 inches to 60 inches to get 69 inches.
  12. c. Call the original price of the jeans x. First 20% is deducted from the original cost (the original cost is 100%); 80% of the original cost is left (100% – 20% = 80%); 80% of x is 0.80x. The cost of the jeans after the first discount is 0.80x. This price is then discounted 15%. Remember 15% is taken off the discounted price; 85% of the discounted price is left. Multiply the discounted price by 0.85 to find the price of the jeans after the second discount; (0.85)(0.80x) is the cost of the jeans after both discounts. We are told that this price is $17. Set the two expressions for the cost of the jeans equal to each other (0.85)(0.80x) = $17 and solve for x (the original cost of the jeans).
  13. The original price of the jeans was $25.

  14. a. Use a proportion to solve the problem; The whole is the price of the basket (which is unknown, so call it x), the part is the tax of $0.72, and the percentage is 5. The proportion is Solve the proportion by cross-multiplying, setting the cross-products equal to each other, and solving as shown below.
  15. The price of the basket was $12.

  16. c. Break the rectangle into eighths as shown below. The shaded part is
  17. Percents Answer Explanations

  18. a. To find 20%, add 5% to 15%. Since 15% is known to be $42, 5% can be found by dividing $42 by 3 (15% ÷ 3 = 5%); $42 ÷ 3 = $14. To find 20%, add the 5% ($14) to the 15% ($42); $14 + $42 = $56; 20% is $56.
  19. d. Use a proportion to solve the problem; The part is $100,000, the whole is $130,000, and the percentage is x because it is unknown; To solve the proportion, cross-multiply, set the cross-products equal to each other, and solve as shown below.
  20. 77% of the budget has been spent.

  21. b. Multiply $359,000 by the decimal equivalent of 1.5% (0.015) to find her commission; $359,000 × 0.015 = $5,385; $5,385 is the commission.
  22. A common mistake is to use 0.15 for the decimal equivalent of 1.5%; 0.15 is equivalent to 15%. Remember, to find the decimal equivalent of a percent, move the decimal point two places to the left.

  23. d. To find the price he sells it for, add the mark-up to his cost ($42). The mark-up is 110%. To find 110% of his cost, multiply by the decimal equivalent of 110% (1.10); $42 × 1.10 = $46.20. The mark-up is $46.20. Add the mark-up to his cost to find the price the vase sells for; $46.20 + $42.00 = $88.20.
  24. c. Use a proportion to solve the problem; The part is $125,000 (the part Michelle owns), the whole is $400,000 (the whole value of the house), and the percentage is x because it is unknown.
  25. To solve the proportion, cross-multiply, set the cross-products equal to each other, and solve as shown below.

    Michelle owns 31.25% of the vacation home.

  26. d. Find the Social Security tax and the State Disability Insurance, and then subtract the answers from Kyra's weekly wages. To find 7.51% of $895, multiply by the decimal equivalent of 7.51% (0.0751); $895 × 0.0751 = $67.21 (rounded to the nearest cent). Next, find 1.2% of her wages by multiplying by the decimal equivalent of 1.2% (0.012); $895 × 0.012 = $10.74. Subtract $67.21 and $10.74 from Kyra's weekly wages of $895 to find her weekly paycheck; $895 – $67.21 – $10.74 = $817.05. Her weekly paycheck is $817.05.
  27. a. Find 5% of the bill by multiplying by the decimal equivalent of 5% (0.05); $178 × 0.05 = $8.90. They will save $8.90.
  28. A common mistake is to use 0.5 instead of 0.05 for 5%; 0.5 is 50%.
  29. d. Find 30% of 1,800 by multiplying by the decimal equivalent of 30% (0.30); 1,800 × 0.30 = 540. The maximum number of calories from fats per day is 540.
  30. c. Find 24% of $1,345 by multiplying by the decimal equivalent of 24% (0.24); $1,345 × 0.24 = $322.80. $322.80 can be deducted.
  31. b. Use the proportion You are looking for the whole (100% is the whole capacity of the plant). The part you know is 450 and it is 90% of the whole; To solve the proportion, cross multiply, set the cross-products equal to each other, and solve as shown below.
  32. 100% capacity is 500 cars.

    Another way to look at the problem is to find 10% and multiply it by 10 to get 100%. Given 90%, divide by 9 to find 10%; 450 ÷9 = 50. Multiply 10% (50) by 10 to find 100%; 50 × 10 = 500.

  33. b. Multiply by the decimal equivalent of % (0.005) to find the amount of increase; $152,850 × 0.005 = $764.25. This is how much sales increased. To find the actual amount of sales, add the increase to last month's total; $152,850 + $764.25 = $153,614.25.
  34. A common mistake is to use 0.5 (50%) or 0.05 (5%) for%. Rewrite % as 0.5%. To find the decimal equivalent, move the decimal point two places to the left. This yields 0.005.

  35. c.Find 5% of 220 by multiplying 220 by the decimal equivalent of 5% (0.05); 220 × 0.05 = 11 people.
  36. A common mistake is to use 0.5 for 5%; 0.5 is actually 50%.

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

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