percents
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Chapter 6
Percents
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
6.5
Percent and Problem Solving: Sales Tax, Commission, and
Discount
33
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
44
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Example
sales tax purchase pricetax rate
sales tax = 6.5% · $1800
A gold and diamond bracelet sells for $1800. Find the total price if the sales tax rate is 6.5%.
= 0.065 · $1800
= $117 Sales Tax
$1800 + $117 = $1917 Total Price
The total price for the bracelet was $1917.00
55
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Calculating Commission
Commission
commission = commission rate · sales
66
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Example
commission salesCommission
rate
$3575 = r · $32,500
The commission rate is 11%.
A salesperson earned a commission of $3575 for selling $32,500 worth of books to various bookstores. Find the commission rate.
$3575
$32,500r
0.11 r
77
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Calculating Discount and Sale Price
Discount and Sale Price
amount of discount = discount rate · original price
sale price = original price · amount of discount
88
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Example
amount of discount original pricediscount rate
amount of discount = 30% · $2000
The discount is $600.
0.3 $2000
A $2000 designer dress is on sale for 30% off. Find the discount and the sale price.
$600
continued
99
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
continued
sale price discountOriginal price
sale price = $2000 − $600
The sale price is $1400.
$1400
A $2000 designer dress is on sale for 30% off. Find the discount and the sale price.
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