Questions

MATH Integrated Math I - Unit 10: Applications of Percent

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Estimating with Percent

1) If there are 63 books in all, what is the best estimate to donate 25% of the books to the library?

a.) The library will receive 122 books.

b.) The library will receive 60 books.

c.) The library will receive 25 books.

d.) The library will receive 16 books.

2) If the original price of an antique chair was $41, what is the best estimate of an offer to purchase the chair at 124% of the original price?

a.) The chair will be purchased at $20.

b.) The chair will be purchased at $40.

c.) The chair will be purchased at $50.

d.) The chair will be purchased at $90.

3) Which fraction could be used to determine an estimate of 76% of the people who attended the play?

a.) 1/2 of the people

b.) 3/4 of the people

c.) 2/3 of the people

d.) 1/10 of the people

4) Which mixed number could be used to determine an estimate of a 249% increase in value of a ring?

a.) 1/2 the value of the ring

b.) 3/4 the value of the ring

c.) 2 1/2 times the value of the ring

d.) 3 1/3 times the value of the ring

Percent Equations

5) What percent of 80 is 30?

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6) Twenty percent of what number is 75?

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7) Thirty-eight percent of 50 is what number?

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8) What is 180% of 95?

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9) Three hundred sixty is what percent of 270?

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10) What is 5.75% of 300?

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11) What percent of 40 is 25?

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12) Eighty-five is 40% of what number?

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13) Twelve is 2.5% of what number?

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14) What is 50% of 72?

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15) What is 85% of 920?

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Discounts

For the next three questions, find the SALE PRICE of each item to the nearest cent.

16) $49.99 shoes, 30% off

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17) $2,499.00 HDTV, 15% off

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18) $15.00 t-shirt, 25% off

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Simple Interest

For the next three questions, calculate the SIMPLE INTEREST to the nearest cent.

19) $325 at 7.5% for 2 years

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20) $949 at 12.25% for 3.5 years

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21) $5,200 at 13.5% for 18 months (Hint: Change 18 months to a mixed number or decimal in terms of years.)

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Commission

22) Jake is employed by Don’s Auto Sales and earns 4% commission on each car that he sells. If Jake sold a car for $6,700, how much commission will he earn?

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For the next two problems, refer to the following scenario: A jewelry store marks up diamond sales 50%. A diamond ring is priced $2,400 (customer's price).

23) Determine the wholesale price (jewelry store’s cost) of the ring. (Hint: Since the ring is marked up 50%, the customer’s price is all of the jeweler’s price (100%) plus the 50% markup. Therefore, calculate 150% of what number is $2400.)

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24) Calculate the commission a sales associate would earn if he were paid 5% commission on the retail price (customer’s price) of the ring.

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Percent Change

For the next five questions, calculate the percent of change. State whether each percent of change is a PERCENT OF INCREASE or a PERCENT OF DECREASE, and then state the percent of change. Express the answers rounded to the nearest whole percent.

25) Original temperature: 15 degrees C, New temperature: 12 degrees C

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26) Original price: $40.00, New price: $55.00

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27) Original population: 525 people, Current population: 661 people

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28) Last year’s points: 118 points, This year’s points: 51 points

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29) Original weight: 197 pounds, Current weight: 140 pounds

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Sales Tax

30) Bonnie bought two X-Box games, one priced at $35.00 and the other at $50.00. Sales tax on her purchase was 7%. How much change should she have received if she paid with a $100 bill?

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Applications

31) A digital camera is on sale for 20% off the regular price of $599. After the price reduction, a 6.5% sales tax is added. How much will the customer pay?

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32) The graph below shows the results of a recent survey of the high school presidential election. The students were asked to choose their favorite candidate. About how many students were surveyed if 45 of them were undecided?

a.) 100 students

b.) 125 students

c.) 155 students

d.) 170 students

33) Research: Find three examples of how percent is used in the business world. Look through the newspapers and/or magazine ads, watch TV commercials, read classified ads, research online catalogs, or reference other resources. List the three examples and explain how the percent was used.

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