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Nevaeh is a cruise specialist and earned $\text{\$364}$ commission after booking a cruise that cost $\text{\$5,200}.$ What is her rate of commission?
As a waitress, Emily earned $\text{\$420}$ in tips on sales of $\text{\$2,625}$ last Saturday night. What was her rate of commission?
16%
Alejandra earned $\text{\$1,393.74}$ commission on weekly sales of $\text{\$15,486}$ as a salesperson at the computer store. What is her rate of commission?
Maureen earned $\text{\$7,052.50}$ commission when she sold a $\text{\$45,500}$ car. What was the rate of commission?
15.5%
Lucas earned $\text{\$4,487.50}$ commission when he brought a $\text{\$35,900}$ job to his office. What was the rate of commission?
Solve Discount Applications
In the following exercises, find the sale price.
Perla bought a cellphone that was on sale for $\text{\$50}$ off. The original price of the cellphone was $\text{\$189}.$
$139
Sophie saw a dress she liked on sale for $\text{\$15}$ off. The original price of the dress was $\text{\$96}.$
$81
Rick wants to buy a tool set with original price $\text{\$165}.$ Next week the tool set will be on sale for $\text{40\%}$ off.
$125
Angelo's store is having a sale on TV sets. One set, with an original price of $\text{\$859},$ is selling for $\text{\$125}$ off.
In the following exercises, find ⓐ the amount of discount and ⓑ the sale price.
Janelle bought a beach chair on sale at $\text{60\%}$ off. The original price was $\text{\$44.95}$
Errol bought a skateboard helmet on sale at $\text{40\%}$ off. The original price was $\text{\$49.95}.$
Kathy wants to buy a camera that lists for $\text{\$389}.$ The camera is on sale with a $\text{33\%}$ discount.
Colleen bought a suit that was discounted $\text{25\%}$ from an original price of $\text{\$245}.$
Erys bought a treadmill on sale at $\text{35\%}$ off. The original price was $\text{\$949.95}.$
Jay bought a guitar on sale at $\text{45\%}$ off. The original price was $\text{\$514.75}.$
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 $\text{\$1,344}.$ The original price of the sofa was $\text{\$1,920}.$
Hiroshi bought a lawnmower at the sale price of $\text{\$240}.$ The original price of the lawnmower is $\text{\$300}.$
Patty bought a baby stroller on sale for $\text{\$301.75}.$ The original price of the stroller was $\text{\$355.}$
Bill found a book he wanted on sale for $\text{\$20.80}.$ The original price of the book was $\text{\$32}.$
Nikki bought a patio set on sale for $\text{\$480}.$ The original price was $\text{\$850}.$
Stella bought a dinette set on sale for $\text{\$725}.$ The original price was $\text{\$1,299}.$
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 $\text{\$16}$ to sell in her handicraft store. She marked the price up $\text{45\%}.$
Regina bought a handmade quilt at wholesale cost $\text{\$120}$ to sell in her quilt store. She marked the price up $\text{55\%}.$
Tom paid $\text{\$0.60}$ a pound for tomatoes to sell at his produce store. He added a $\text{33\%}$ mark-up.
Flora paid her supplier $\text{\$0.74}$ a stem for roses to sell at her flower shop. She added an $\text{85\%}$ mark-up.
Alan bought a used bicycle for $\text{\$115}.$ After re-conditioning it, he added $\text{225\%}$ mark-up and then advertised it for sale.
Michael bought a classic car for $\text{\$8,500}.$ He restored it, then added $\text{150\%}$ mark-up before advertising it for sale.
Coupons Yvonne can use two coupons for the same purchase at her favorite department store. One coupon gives her $\text{\$20}$ off and the other gives her $\text{25\%}$ off. She wants to buy a bedspread that sells for $\text{\$195}.$
Cash Back Jason can buy a bag of dog food for $\text{\$35}$ at two different stores. One store offers $\text{6\%}$ cash back on the purchase plus $\text{\$5}$ off his next purchase. The other store offers $\text{20\%}$ cash back.
Priam bought a jacket that was on sale for $\text{40\%}$ off. The original price of the jacket was $\text{\$150}.$ While the sales clerk figured the price by calculating the amount of discount and then subtracting that amount from $\text{\$150},$ Priam found the price faster by calculating $\text{60\%}$ of $\text{\$150}.$
Roxy bought a scarf on sale for $\text{50\%}$ off. The original price of the scarf was $\text{\$32.90}.$ Roxy claimed that the price she paid for the scarf was the same as the amount she saved. Was Roxy correct? Explain.
ⓐ 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?
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