6.2 Discounts, Markups, and Sales Tax

Percent decrease and increase at the register: sale prices from a discount, retail markup over cost, and tax added on top of a total.

Contemporary Mathematics, 6.2 Discounts, Markups, and Sales Tax

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17 exercises

6.2 Exercise 1

Calculate the discount for the given price and discount percentage. Then calculate the sale price.

Original price = $75.80; percent discount is 25%
Original price = $168.90; percent discount is 30%

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6.2 Exercise 3

Determine the percent discount based on the given original and sale prices.

Original price = $1,200.00; sale price = $900.00
Original price = $36.70; sale price = $29.52

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6.2 Exercise 5

Determine the original price based on the percent discount and sale price.

Percent discount 10%; sale price = $450.00
Percent discount 75%, sale price = $90.00

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6.2 Exercise 7

The sale rack at a clothing store is marked “All Items 30% off.” Ian finds a shirt that had an original price of $80.00. What is the discount on the shirt? What is the sale price of the shirt?

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6.2 Exercise 9

An annual pass on the city bus is priced at $240. The student price, though, is $168. What is the percent discount for students for the bus pass?

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6.2 Exercise 11

Kendra’s car developed a flat, and the tire store told her that two tires had to be replaced. She got a 10% discount on the pair of tires, and the sale price came to $189.00. What was the original price of the tires?

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6.2 Exercise 13

Calculate the markup for the given cost and markup percentage. Then calculate the retail price.

Cost = $62.00; percent markup is 15%
Cost = $750.00; percent markup is 45%

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6.2 Exercise 15

Determine the percent markup based on the given cost and retail price. Round percentages to two decimal places.

Cost = $90.00; retail price = $103.50
Cost = $5.20; retail price = $9.90

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6.2 Exercise 17

Determine the cost based on the percent markup and retail price.

Percent markup 20%; retail price = $10.62
Percent markup 125%; retail price = $26.55

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6.2 Exercise 19

Janice works at a convenience store near campus. It sells protein bars at a 60% markup. If a bar costs the store $1.30, how much is the retail price at the convenience store?

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6.2 Exercise 21

Javi began working at a phone outlet. In a recent shipment, he noticed that the cost of the phone to the store was $480.00. The phone sells for $840.00 in the store. What is the percent markup on the phone?

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6.2 Exercise 23

Bob decided to order a t-shirt for his gaming friend online for $29.50. He knows the markup on such t-shirts is 18%. What was the t-shirt’s cost before the markup?

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6.2 Exercise 25

The sales tax in Kankakee, Illinois, is 8.25%. Find the sales tax and total price of items based on the purchase price listed.

Purchase price = $428.99
Purchase price = $34.88

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6.2 Exercise 27

Find the sales tax rate for the indicated purchase price and total price. Round using the guideline for sales tax percentages.

Purchase price = $329.50; total price = $354.21
Purchase Price = $13.77; total price = $14.39

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6.2 Exercise 29

Find the purchase price for the indicated sales tax rate and total price.

Sales tax rate = 5.75%; total price = $36.56
Sales tax rate = 4.25%; total price = $97.17

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6.2 Exercise 31

The sales tax rate in Denver Colorado is 8.81%. Keven buys a TV in Denver, and the purchase price (before taxes) is $499.00. How much will Keven pay in sales tax and what will be the total amount he spends when he buys the TV?

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6.2 Exercise 33

Jillian visits Austin, Texas, and purchases a new set of weights for her home. She spends, including sales tax, $467.64. The sales tax rate in Austin Texas is 8.25%. How much of the total price is sales tax?

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