# Lesson 11

Percentage Contexts

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? ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### 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?

A:

$3.04 B:$12.16

C:

$18.24 D:$19.00

### 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.

1. How much commission will the salesperson earn by selling a couch for $495? 2. How much money will the store get from the sale of the couch? ### Solution Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution. ### 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):

1. if the bank charges 3.8% interest each year?

2. if the bank charges 5.3% interest each year?

### Solution

(From Unit 4, Lesson 9.)

### Problem 5

Match the situations with the equations.

1. Mai slept for $$x$$ hours, and Kiran slept for $$\frac{1}{10}$$ less than that.
2. Kiran practiced the piano for $$x$$ hours, and Mai practiced for $$\frac25$$ less than that.
3. Mai drank $$x$$ oz of juice and Kiran drank $$\frac43$$ more than that.
4. Kiran spent $$x$$ dollars and Mai spent $$\frac14$$ less than that.
5. Mai ate $$x$$ grams of almonds and Kiran ate 1.5 times more than that.
6. Kiran collected $$x$$ pounds of recycling and Mai collected $$\frac{3}{10}$$ less than that.
7. Mai walked $$x$$ kilometers and Kiran walked $$\frac38$$ more than that.
8. Kiran completed $$x$$ puzzles and Mai completed $$\frac35$$ more than that.

$$y=2.33x$$

$$y=1.375x$$

$$y=0.6x$$

$$y=0.9x$$

$$y=0.75x$$

$$y=1.6x$$

$$y=0.7x$$

$$y=2.5x$$