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6.3 Solve Sales Tax, Commission, and Discount Applications

Tax added at purchase, commission earned on a sale, a discount taken off list price, and mark-up added onto a store's cost.

Prealgebra 2e, 6.3 Solve Sales Tax, Commission, and Discount Applications

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44 exercises

6.3 Exercise 1

Before you get started, take this readiness quiz.

Solve 0.0875(720)0.0875 \left(720\right) through multiplication.
If you missed this problem, review the reference.

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6.3 Exercise 2

Solve 12.96÷0.0412.96 \div 0.04 through division.
If you missed this problem, review the reference.

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6.3 Exercise 4

Find ⓐ the sales tax and ⓑ the total cost: Alexandra bought a television set for $724\$\text{724} in Boston, where the sales tax rate was 6.25%\text{6}.\text{25}\% of the purchase price.

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6.3 Exercise 5

Find ⓐ the sales tax and ⓑ the total cost: Kim bought a winter coat for $250\$\text{250} in St. Louis, where the sales tax rate was 8.2%\text{8}.\text{2}\% of the purchase price.

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6.3 Exercise 7

Diego bought a new car for $26,525.\$\text{26},\text{525} . He was surprised that the dealer then added $2,387.25.\$\text{2},\text{387}.\text{25} . What was the sales tax rate for this purchase?

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6.3 Exercise 8

What is the sales tax rate if a $7,594\$\text{7},\text{594} purchase will have $569.55\$\text{569}.\text{55} of sales tax added to it?

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6.3 Exercise 10

Bob is a travel agent. He receives 7%\text{7}\% commission when he books a cruise for a customer. How much commission will he receive for booking a $3,900\$\text{3},\text{900} cruise?

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6.3 Exercise 11

Fernando receives 18%\text{18}\% commission when he makes a computer sale. How much commission will he receive for selling a computer for $2,190?\$\text{2},\text{190} ?

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6.3 Exercise 13

Homer received $1,140\$\text{1},\text{140} commission when he sold a car for $28,500.\$\text{28},\text{500} . What rate of commission did he get?

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6.3 Exercise 14

Bernice earned $451\$\text{451} commission when she sold an $8,200\$\text{8},\text{200} living room set. What rate of commission did she get?

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6.3 Exercise 16

Marta bought a dishwasher that was on sale for $75\$\text{75} off. The original price of the dishwasher was $525.\$\text{525} . What was the sale price of the dishwasher?

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6.3 Exercise 17

Orlando bought a pair of shoes that was on sale for $30\$\text{30} off. The original price of the shoes was $112.\$\text{112} . What was the sale price of the shoes?

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6.3 Exercise 19

Find ⓐ the amount of discount and ⓑ the sale price: Sergio bought a belt that was discounted 40%\text{40}\% from an original price of $29.\$\text{29} .

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6.3 Exercise 20

Find ⓐ the amount of discount and ⓑ the sale price: Oscar bought a barbecue grill that was discounted 65%\text{65}\% from an original price of $395.\$\text{395} .

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6.3 Exercise 22

Find ⓐ the amount of discount and ⓑ the discount rate: Lena bought a kitchen table at the sale price of $375.20.\$\text{375}.\text{20} . The original price of the table was $560.\$\text{560} .

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6.3 Exercise 23

Find ⓐ the amount of discount and ⓑ the discount rate: Nick bought a multi-room air conditioner at a sale price of $340.\$\text{340} . The original price of the air conditioner was $400.\$\text{400} .

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6.3 Exercise 25

Jim's music store bought a guitar at wholesale price $1,200.\$\text{1},\text{200} . Jim marked the price up 50%.\text{50}\% . Find the ⓐ amount of mark-up and ⓑ the list price.

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6.3 Exercise 26

The Auto Resale Store bought Pablo's Toyota for $8,500.\$\text{8},\text{500} . They marked the price up 35%.\text{35}\% . Find the ⓐ amount of mark-up and ⓑ the list price.

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6.3 Exercise 27

Find ⓐ the sales tax and ⓑ the total cost.

The cost of a pair of boots was $84.\$\text{84} . The sales tax rate is 5%\text{5}\% of the purchase price.

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6.3 Exercise 29

Find ⓐ the sales tax and ⓑ the total cost.

The cost of a microwave oven was $129.\$\text{129} . The sales tax rate is 7.5%\text{7}.\text{5}\% of the purchase price.

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6.3 Exercise 31

Find ⓐ the sales tax and ⓑ the total cost.

The cost of a file cabinet is $250.\$\text{250} . The sales tax rate is 6.85%\text{6}.\text{85}\% of the purchase price.

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6.3 Exercise 33

Find ⓐ the sales tax and ⓑ the total cost.

The cost of a 6-drawer\text{6}-\text{drawer} dresser $1,199.\$\text{1},\text{199} . The sales tax rate is 5.125%\text{5}.\text{125}\% of the purchase price.

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6.3 Exercise 35

Find the sales tax rate.

Shawna bought a mixer for $300.\$\text{300} . The sales tax on the purchase was $19.50.\$\text{19}.\text{50} .

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6.3 Exercise 37

Find the sales tax rate.

Bopha bought a bedroom set for $3,600.\$\text{3},\text{600} . The sales tax on the purchase was $246.60.\$\text{246}.\text{60} .

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6.3 Exercise 39

Find the commission.

Christopher sold his dinette set for $225\$\text{225} through an online site, which charged him 9%\text{9}\% of the selling price as commission. How much was the commission?

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6.3 Exercise 41

Find the commission.

Farrah works in a jewelry store and receives 12%\text{12}\% commission when she makes a sale. How much commission will she receive for selling a $8,125\$\text{8},\text{125} ring?

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6.3 Exercise 43

Find the commission.

Hector receives 17.5%\text{17}.\text{5}\% commission when he sells an insurance policy. How much commission will he receive for selling a policy for $4,910?\$\text{4},\text{910} ?

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6.3 Exercise 45

Find the rate of commission.

Dontay is a realtor and earned $11,250\$\text{11},\text{250} commission on the sale of a $375,000\$\text{375},\text{000} house. What is his rate of commission?

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6.3 Exercise 47

Find the rate of commission.

As a waitress, Emily earned $420\$\text{420} in tips on sales of $2,625\$\text{2},\text{625} last Saturday night. What was her rate of commission?

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6.3 Exercise 49

Find the rate of commission.

Maureen earned $7,052.50\$\text{7},\text{052}.\text{50} commission when she sold a $45,500\$\text{45},\text{500} car. What was the rate of commission?

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6.3 Exercise 51

Find the sale price.

Perla bought a cellphone that was on sale for $50\$\text{50} off. The original price of the cellphone was $189.\$\text{189} .

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6.3 Exercise 52

Find the sale price.

Sophie saw a dress she liked on sale for $15\$\text{15} off. The original price of the dress was $96.\$\text{96} .

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6.3 Exercise 53

Find the sale price.

Rick wants to buy a tool set with original price $165.\$\text{165} . Next week the tool set will be on sale for $40\$\text{40} off.

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6.3 Exercise 55

Find ⓐ the amount of discount and ⓑ the sale price.

Janelle bought a beach chair on sale at 60%\text{60}\% off. The original price was $44.95\$\text{44}.\text{95}

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6.3 Exercise 57

Find ⓐ the amount of discount and ⓑ the sale price.

Kathy wants to buy a camera that lists for $389.\$\text{389} . The camera is on sale with a 33%\text{33}\% discount.

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6.3 Exercise 59

Find ⓐ the amount of discount and ⓑ the sale price.

Erys bought a treadmill on sale at 35%\text{35}\% off. The original price was $949.95.\$\text{949}.\text{95} .

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6.3 Exercise 61

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Larry and Donna bought a sofa at the sale price of $1,344.\$\text{1},\text{344} . The original price of the sofa was $1,920.\$\text{1},\text{920} .

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6.3 Exercise 63

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Patty bought a baby stroller on sale for $301.75.\$\text{301}.\text{75} . The original price of the stroller was $355.\$\text{355}.

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6.3 Exercise 65

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Nikki bought a patio set on sale for $480.\$\text{480} . The original price was $850.\$\text{850} .

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6.3 Exercise 67

Find ⓐ the amount of the mark-up and ⓑ the list price.

Daria bought a bracelet at wholesale cost $16\$\text{16} to sell in her handicraft store. She marked the price up 45%.\text{45}\% .

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6.3 Exercise 69

Find ⓐ the amount of the mark-up and ⓑ the list price.

Tom paid $0.60\$\text{0}.\text{60} a pound for tomatoes to sell at his produce store. He added a 33%\text{33}\% mark-up.

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6.3 Exercise 71

Find ⓐ the amount of the mark-up and ⓑ the list price.

Alan bought a used bicycle for $115.\$\text{115} . After re-conditioning it, he added 225%\text{225}\% mark-up and then advertised it for sale.

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6.3 Exercise 73

Coupons Yvonne can use two coupons for the same purchase at her favorite department store. One coupon gives her $20\$\text{20} off and the other gives her 25%\text{25}\% off. She wants to buy a bedspread that sells for $195.\$\text{195} .

  1. ⓐ Calculate the discount price if Yvonne uses the $20\$\text{20} coupon first and then takes 25%\text{25}\% off.
  2. ⓑ Calculate the discount price if Yvonne uses the 25%\text{25}\% off coupon first and then uses the $20\$\text{20} coupon.
  3. ⓒ In which order s…

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6.3 Exercise 75

Priam bought a jacket that was on sale for 40%\text{40}\% off. The original price of the jacket was $150.\$\text{150} . While the sales clerk figured the price by calculating the amount of discount and then subtracting that amount from $150,\$\text{150} , Priam found the price faster by calculating 60%\text{60}\% of $150.\$\text{150} .

  1. ⓐ Explain why Priam was correct.
  2. ⓑ Will Priam's method work for any original price?

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Adapted from Prealgebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Prealgebra 2e. Imported at revision 77a933c.