# Lesson 11Percentage Contexts

Let’s learn about more situations that involve percentages.

### Learning Targets:

• I understand and can solve problems about commission, interest, markups, and discounts.

Which of these expressions represent a 15% tip on a $20 meal? Which represent the total bill? ## 11.2A Car Dealership A car dealership pays a wholesale price of$12,000 to purchase a vehicle.

1. The car dealership wants to make a 32% profit.

1. By how much will they mark up the price of the vehicle?
2. After the markup, what is the retail price of the vehicle?
2. During a special sales event, the dealership offers a 10% discount off of the retail price. After the discount, how much will a customer pay for this vehicle?

### Are you ready for more?

This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car?

## 11.3Commission at a Gym

1. For each gym membership sold, the gym keeps $42 and the employee who sold it gets$8. What is the commission the employee earned as a percentage of the total cost of the gym membership?

## Lesson 11 Practice Problems

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? 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?

1. $3.04 2.$12.16
3. $18.24 4.$19.00
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  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? 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?
5. Match the situations with the equations.

1. Mai slept for hours, and Kiran slept for less than that.
2. Kiran practiced the piano for hours, and Mai practiced for less than that.
3. Mai drank oz of juice and Kiran drank more than that.
4. Kiran spent dollars and Mai spent  less than that.
5. Mai ate  grams of almonds and Kiran ate 1.5 times more than that.
6. Kiran collected pounds of recycling and Mai collected less than that.
7. Mai walked kilometers and Kiran walked more than that.
8. Kiran completed puzzles and Mai completed more than that.