6.2.0: Exercises

Contemporary Mathematics · LibreTexts

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    6.2.0: Exercises

    For the following exercises, use the given values to find the indicated value. Round percent results to 2 decimal places. Round money results to the penny (2 decimal places).

    Exercise \(\PageIndex{1}\)

    Retail price = $399.00, percent discount = 30%, find the sale price.

    Exercise \(\PageIndex{2}\)

    Retail Price = $75.00, percent discount = 65%, find the sale price.

    Exercise \(\PageIndex{3}\)

    Retail price = $125.00, sale price = $90.00, find the percent discount.

    Exercise \(\PageIndex{4}\)

    Retail price = $47.00, sale price = $41.50, find the percent discount.

    Exercise \(\PageIndex{5}\)

    Sale price = $145.70, percent discount = 20%, find the retail price.

    Exercise \(\PageIndex{6}\)

    Sale price = $1,208.43, percent discount = 13%, find the retail price.

    Exercise \(\PageIndex{7}\)

    Retail price = $26,790.00, percent discount = 8%, find the sale price.

    Exercise \(\PageIndex{8}\)

    Sale price = $314.06, percent discount = 33%, find the retail price.

    Exercise \(\PageIndex{9}\)

    Retail price = $145.50, sale price = $117.90, find the percent discount.

    Exercise \(\PageIndex{10}\)

    Retail price = $28.90, percent discount = 18%, find the sale price.

    Exercise \(\PageIndex{11}\)

    Sale price = $17.59, percent discount = 12%, find the retail price.

    Exercise \(\PageIndex{12}\)

    Retail price = $57.50, sale price = $46.00, find the percent discount.

    Exercise \(\PageIndex{13}\)

    Cost = $130.00, percent markup = 34%, find the retail price.

    Exercise \(\PageIndex{14}\)

    Cost = $2.27, percent markup = 42%, find the retail price.

    Exercise \(\PageIndex{15}\)

    Cost = $68.45, retail price = $109.90, find the percent markup.

    Exercise \(\PageIndex{16}\)

    Cost = $466.16, retail price = $699.00, find the percent markup.

    Exercise \(\PageIndex{17}\)

    Retail price = $98.99, percent markup = 25%, find the cost.

    Exercise \(\PageIndex{18}\)

    Retail price = $799.00, percent markup = 55%, find the cost.

    In the following exercises, find the sales tax and total paid.

    Exercise \(\PageIndex{19}\)

    Retail price = $17.99; sales tax = 7.5%

    Exercise \(\PageIndex{20}\)

    Retail price = $799.00; sales tax = 8.5%

    Exercise \(\PageIndex{21}\)

    Retail price = $176.83; sales tax = 6.25%

    Exercise \(\PageIndex{22}\)

    Retail price = $223.93; sales tax = 4.5%

    In the following exercises, find the sales tax rate.

    Exercise \(\PageIndex{23}\)

    Purchase price = $257.45; total price = $273.54

    Exercise \(\PageIndex{24}\)

    Purchase price = $14.99; total price = $15.74

    Exercise \(\PageIndex{25}\)

    Purchase price = $26.83; total price = $28.84

    Exercise \(\PageIndex{26}\)

    Purchase price = $2,399.90; total price = $2,609.89

    In the following exercises, find the purchase price.

    Exercise \(\PageIndex{27}\)

    Sales tax rate = 4.75%; total price = $50.15

    Exercise \(\PageIndex{28}\)

    Sales tax rate = 8%; total price = $1,069.20

    Exercise \(\PageIndex{29}\)

    Sales tax rate = 9.5%; total price = $51.45

    Exercise \(\PageIndex{30}\)

    Sales tax rate = 5.75%; total price = $3,065.69

    Exercise \(\PageIndex{31}\)

    Harris has a coupon for 20% off for any purchase. She finds a new tennis racket for $278.00. How much is the price after the coupon is applied?

    Exercise \(\PageIndex{32}\)

    After the employee discount, Mariam will pay $46.55. What is her employee discount rate if the retail price was $53.50? Round to nearest full percent.

    Exercise \(\PageIndex{33}\)

    Resa purchased a new game for her cousin. After sales tax, she paid $41.13. Find the sales tax rate she paid if the purchase price of the game was $38.99.

    Exercise \(\PageIndex{34}\)

    Larissa opens a new secondhand bookstore. She buys a book for $2.75. What is her percent markup if the sells the book for $8.50. Round to the nearest percent.

    Exercise \(\PageIndex{35}\)

    Doug opens a used auto parts store. He pays $30 for a car door. How much will he charge if his percent markup is 60%?

    Exercise \(\PageIndex{36}\)

    Gaia and Seth live in Osceola County in Florida, where the sales tax rate is 7.5%. They purchased some new camping gear. The price before taxes came to $784.62. How much do they pay after the sales tax is applied?

    Exercise \(\PageIndex{37}\)

    Theresa decides to purchase a new phone, which has a retail price of $799.00. Her discount is 20% through a friends and family plan. The sales tax in her county is 6.75%. How much will she pay after the discount? How much will she pay after the tax is applied?

    Exercise \(\PageIndex{38}\)

    Sakari manages a retail outlet. They receive a shipment of shirts. She sees on the shipping list that each shirt cost 24.50 to the store. The store marks up the shirts by 45%. The county in which she lives charges sales tax of 6.5%. What is the retail price of one of the shirts? After sales tax, how much will a customer pay for the shirt?


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