Lesson 8

Percentage Situations

Let's find unknown percentages.

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? 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

A music store marks up the instruments it sells by 30%.

1. If the store bought a guitar for $45, what will be its store price? 2. If the price tag on a trumpet says$104, how much did the store pay for it?
3. If the store paid $75 for a clarinet and sold it for$100, did the store mark up the price by 30%?

Problem 4

A family eats at a restaurant. The bill is $42. The family leaves a tip and spends$49.77.

1. How much was the tip in dollars?
2. How much was the tip as a percentage of the bill?

Problem 5

The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was$1060. By what percentage did the price per ounce of gold increase?

Problem 6

A phone keeps track of the number of steps taken and the distance traveled. Based on the information in the table, is there a proportional relationship between the two quantities? Explain your reasoning.

number of steps distance in kilometers
950 1
2,852 3
4,845 5.1

(From Unit 5, Lesson 4.)

Problem 7

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?
(From Unit 6, Lesson 6.)

Problem 8

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.

$$y=2.33x$$

$$y=1.375x$$

$$y=0.6x$$

$$y=0.9x$$

$$y=0.75x$$

$$y=1.6x$$

$$y=0.7x$$

$$y=2.5x$$

(From Unit 6, Lesson 2.)