Percents Word Problems
Percentages have many everyday uses, from figuring out the tip in restaurant to understanding interest rates. This set of practice problems will give you practice in solving word problems that involve percents.
- A pair of pants costs $24. The cost was reduced by 8%. What is the new cost of the pants?
- $25.92
- $21.06
- $22.08
- $16.00
- Michael scored 260 points during his junior year on the school basketball team. He scored 25% more points during his senior year. How many points did he score during his senior year?
- 195
- 65
- 325
- 345
- Brian is a real estate agent. He makes a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for $153,000, $399,000, and $221,000. What was Brian's total commission on these three sales?
- $193,250
- $11,460
- $3,825
- $19,325
- Cory purchased a frying pan that was on sale for 30% off. She saved $3.75 with the sale. What was the original price of the frying pan?
- $10.90
- $9.25
- $12.50
- $11.25
- Peter purchased 14 new baseball cards for his collection. This increased the size of his collection by 35%. How many baseball cards does Peter now have?
- 5
- 54
- 40
- 34
- Joey has 30 pages to read for history class tonight. He decided that he would take a break when he finished reading 70% of the pages assigned. How many pages must he read before he takes a break?
- 7
- 21
- 9
- 18
- Julie had $500. She spent 20% of it on clothes and then 35% of the remaining money on computer equipment. How much money did Julie spend?
- $275
- $300
- $240
- $250
- Nick paid $68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax?
- $63.25
- $65.25
- $65.00
- $64.84
- The Dow Jones Industrial Average fell 2% today. The Dow began the day at 10,600. What was the Dow at the end of the day after the 2% drop?
- 10,400
- 10,812
- 10,388
- 7,800
- The population of Hamden was 350,000 in 1990. By 2000, the population had decreased to 329,000. What percent of decrease is this?
- 16%
- 7.5%
- 6%
- 6.4%
- Connecticut state sales tax is 6%. Lucy purchases a picture frame that costs $10.50. What is the Connecticut sales tax on this item?
- $0.60
- $6.30
- $0.63
- $1.05
- Wendy brought $15 to the mall. She spent $6 on lunch. What percent of her money did she spend on lunch?
- 60%
- 40%
- 37%
- 33.3%
- Donald sold $5,250 worth of new insurance policies last month. If he receives a commission of 7% on new policies, how much did Donald earn in commissions last month?
- $4,882.50
- $367.50
- $3,675.00
- $263.00
- Kara borrowed $3,650 for one year at an annual interest rate of 16%. How much did Kara pay in interest?
- $1,168.00
- $584.00
- $4,234.00
- $168.00
- Rebecca is 12.5% taller than Debbie. Debbie is 64 inches tall. How tall is Rebecca?
- 42 inches
- 8 inches
- 56 inches
- 72 inches
- Kyra receives a 5% commission on every car she sells. She received a $1,325 commission on the last car she sold. What was the cost of the car?
- $26,500.00
- $66.25
- $27,825.00
- $16,250.00
- A tent originally sold for $260 and has been marked down to $208. What is the percent of discount?
- 20%
- 25%
- 52%
- 18%
- The football boosters club had 80 T-shirts made to sell at football games. By mid-October, they had only 12 left. What percent of the shirts had been sold?
- 85%
- 15%
- 60%
- 40%
- A printer that sells for $190 is on sale for 15% off. What is the sale price of the printer?
- $161.50
- $175.00
- $140.50
- $156.50
- What is 19% of 26?
- 21.06
- 4.94
- 19
- 5
Answers
- 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.
- 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.
- 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%.
- 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;
- 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.
- 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.
- 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%.
- 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;
- 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.
- 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).
- 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).
- b. Divide $6 by $15 to find the percent; $6 ÷ $15 = 0.40; 0.40 is equivalent to 40%.
- b. To find 7% of $5,250, multiply $5,250 by the decimal equivalent of 7% (0.07); $5,250 × 0.07 = $367.50.
- b. To find 16% of $3,650, multiply $3,650 by the decimal equivalent of 16% (0.16); $3,650 × 0.16 = $584.
- 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).
- 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).
- 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%.
- 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.
- 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.
- b. To find 19% of 26, multiply 26 by the decimal equivalent of 19% (0.19); 26 × 0.19 = 4.94.
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