# mgbmi2e_ppt_06_05

```Chapter 6
Percents
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
6.5
Percent and Problem Solving:
Sales Tax, Commission, and
Discount
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Calculating Sales Tax and Total Price
Sales Tax and Total Price
sales tax = tax rate · purchase price
total price = purchase price + sales tax
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
3
Example
A gold and diamond bracelet sells for \$1800. Find the
total price if the sales tax rate is 6.5%.
sales tax
tax rate
sales tax = 6.5% ·
purchase price
\$1800
= 0.065 · \$1800
= \$117 Sales Tax
\$1800 + \$117 = \$1917 Total Price
The total price for the bracelet was \$1917.00
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
4
Calculating Commission
Commission
commission = commission rate · sales
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
5
Example
A salesperson earned a commission of \$3575 for selling
\$32,500 worth of books to various bookstores. Find the
commission rate.
commission
Commission
rate
\$3575 = r ·
\$3575
sales
\$32,500
r
\$32, 500
0.11  r
The commission rate is 11%.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
6
Calculating Discount and Sale Price
Discount and Sale Price
amount of discount = discount rate · original price
sale price = original price · amount of discount
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
7
Example
A \$2000 designer dress is on sale for 30% off. Find the
discount and the sale price.
amount of discount
discount rate
amount of discount = 30% ·
original price
\$2000
 0 .3  \$ 2 0 0 0
 \$600
The discount is \$600.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
continued
8
continued
A \$2000 designer dress is on sale for 30% off. Find the
discount and the sale price.
sale price
Original price
sale price =
\$2000 −
discount
\$600
 \$1400
The sale price is \$1400.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
9
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