1. 6
Chapter
Chapter 2
Percent

2. Percent Problem Solving: Sales Tax, Commission, and Discount
Section
6.5
Percent Problem Solving: Sales Tax, Commission, and Discount

3. Calculate Sales Tax and Total Price.
Objective A
Calculate Sales Tax and Total Price.

4. Calculating Sales Tax and Total Price
sales tax = tax rate · purchase price
total price = purchase price + sales tax
Objective A

5. Example
A gold and diamond bracelet sells for $ Find the total price if the sales tax rate is 6.5%.
sales tax
tax rate
purchase price
sales tax = 6.5% · $1800
= · $1800
Objective A
= $117
Sales Tax
$ $117 = $1917
Total Price
The total price for the bracelet was $ 5

6. Example The sales tax rate is 9%.
The sales tax on an $18,500 automobile is $1665. Find the sales tax rate. Let r represent the unknown sales tax rate. Then sales tax = tax rate  purchase price 1665 = r  18,500
The sales tax rate is 9%.

7. Objective B
Calculate Commission.

8. Calculating Commission
commission = commission rate · sales
Objective A 8

9. Example
A sales representative for Office Product Copier sold $47,632 worth of copy equipment last month. What is his commission for the month if he is paid a commission of 6.6% of his total sales for the month?
Commission rate
commission
sales
c = · $47,632
Objective A
His commission was $ 9

10. Example
A salesperson earned a commission of $3575 for selling $32,500 worth of books to various bookstores. Find the commission rate.
Commission rate
commission
sales
$3575 = r · $32,500
Objective A
The commission rate is 11%. 10

11. Example The commission rate is 15%.
A salesperson earns $645 for selling $4300 worth of appliances. Find the commission rate. Let r represent the unknown commission rate. commission = commission rate  sales 645 = r  4300
The commission rate is 15%.

12. Calculate Discount and Sales Price.
Objective C
Calculate Discount and Sales Price.

13. Calculating Discount and Sale Price
amount of discount = discount rate · original price
sale price = original price · amount of discount
Objective A 13

14. Example
A $2000 designer dress is on sale for 30% off. Find the discount and the sale price.
original price
amount of discount
discount rate
amount of discount = 30% · $2000
Objective A
The discount is $600.
Continued 14

15. Example (cont)
A $2000 designer dress is on sale for 30% off. Find the discount and the sale price.
sale price
Original price
discount
sale price = $2000 − $600
Objective A
The sale price is $1400. 15