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Nevaeh is a cruise specialist and earned $364 commission after booking a cruise that cost $5,200 . What is her rate of commission?

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

16%

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Alejandra earned $1,393.74 commission on weekly sales of $15,486 as a salesperson at the computer store. What is her rate of commission?

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Maureen earned $7,052.50 commission when she sold a $45,500 car. What was the rate of commission?

15.5%

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Lucas earned $4,487.50 commission when he brought a $35,900 job to his office. What was the rate of commission?

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Solve Discount Applications

In the following exercises, find the sale price.

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

$139

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

$81

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

$125

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Angelo's store is having a sale on TV sets. One set, with an original price of $859 , is selling for $125 off.

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In the following exercises, find the amount of discount and the sale price.

Janelle bought a beach chair on sale at 60% off. The original price was $44.95

  1. $26.97
  2. $17.98

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Errol bought a skateboard helmet on sale at 40% off. The original price was $49.95 .

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

  1. $128.37
  2. $260.63

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Colleen bought a suit that was discounted 25% from an original price of $245 .

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Erys bought a treadmill on sale at 35% off. The original price was $949.95 .

  1. $332.48
  2. $617.50

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Jay bought a guitar on sale at 45% off. The original price was $514.75 .

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In the following exercises, 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 . The original price of the sofa was $1,920 .

  1. $576
  2. 30%

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Hiroshi bought a lawnmower at the sale price of $240 . The original price of the lawnmower is $300 .

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Patty bought a baby stroller on sale for $301.75 . The original price of the stroller was $355.

  1. $53.25
  2. 15%

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Bill found a book he wanted on sale for $20.80 . The original price of the book was $32 .

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

  1. $370
  2. 43.5%

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Stella bought a dinette set on sale for $725 . The original price was $1,299 .

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Solve Mark-up Applications

In the following exercises, find the amount of the mark-up and the list price.

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

  1. $7.20
  2. $23.20

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Regina bought a handmade quilt at wholesale cost $120 to sell in her quilt store. She marked the price up 55% .

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Tom paid $0.60 a pound for tomatoes to sell at his produce store. He added a 33% mark-up.

  1. $0.20
  2. 44.2%

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Flora paid her supplier $0.74 a stem for roses to sell at her flower shop. She added an 85% mark-up.

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

  1. $258.75
  2. $373.75

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Michael bought a classic car for $8,500 . He restored it, then added 150% mark-up before advertising it for sale.

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Everyday math

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

  1. Calculate the discount price if Yvonne uses the $20 coupon first and then takes 25% off.
  2. Calculate the discount price if Yvonne uses the 25% off coupon first and then uses the 20% coupon.
  3. In which order should Yvonne use the coupons?

  1. $131.25
  2. $126.25
  3. 25% off first, then $20 off

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Cash Back Jason can buy a bag of dog food for $35 at two different stores. One store offers 6% cash back on the purchase plus $5 off his next purchase. The other store offers 20% cash back.

  1. Calculate the total savings from the first store, including the savings on the next purchase.
  2. Calculate the total savings from the second store.
  3. Which store should Jason buy the dog food from? Why?

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Writing exercises

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

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

  1. Priam is correct. The original price is 100%. Since the discount rate was 40%, the sale price was 60% of the original price.
  2. Yes.

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Roxy bought a scarf on sale for 50% off. The original price of the scarf was $32.90 . Roxy claimed that the price she paid for the scarf was the same as the amount she saved. Was Roxy correct? Explain.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

What does this checklist tell you about your mastery of this section? What steps will you take to improve?

Practice Key Terms 9

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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