Unit 4, Lesson 11
Percentage Contexts
Grade 7
Practice
Problem 1
A car dealership pays \$8,350 for a car. They mark up the price by 17.4% to get the retail price. What is the retail price of the car at this dealership?
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Problem 2
A store has a 20%-off sale on pants. With this discount, the price of one pair of pants before tax is \$15.20. What was the original price of the pants?
\$3.04
\$12.16
\$18.24
\$19.00
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Problem 3
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is \(5\frac12\%\) of the selling price.
- How much commission will the salesperson earn by selling a couch for \$495?
- How much money will the store get from the sale of the couch?
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Problem 4
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
-
if the bank charges 3.8% interest each year?
- if the bank charges 5.3% interest each year?
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Problem 5
Match the situations with the equations.
- Mai slept for \(x\) hours, and Kiran slept for \(\frac{1}{10}\) less than that.
- Kiran practiced the piano for \(x\) hours, and Mai practiced for \(\frac25\) less than that.
- Mai drank \(x\) oz of juice, and Kiran drank \(\frac43\) more than that.
- Kiran spent \(x\) dollars, and Mai spent \(\frac14\) less than that.
- Mai ate \(x\) grams of almonds, and Kiran ate 1.5 times more than that.
- Kiran collected \(x\) pounds of recycling, and Mai collected \(\frac{3}{10}\) less than that.
- Mai walked \(x\) kilometers, and Kiran walked \(\frac38\) more than that.
- Kiran completed \(x\) puzzles, and Mai completed \(\frac35\) more than that.
\(y=2.33x\)
\(y=1.375x\)
\(y=0.6x\)
\(y=0.9x\)
\(y=0.75x\)
\(y=1.6x\)
\(y=0.7x\)
\(y=2.5x\)