Question

Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?

a.
$93.24
b.
$103.20
c.
$108.36
d.
$120.40

Answer 1

`Total = \$103.20`

Explanation:

Given

`Amount =\$160`

`D_1 = 30\%` --- first discount

`D_2 = 10\%` --- second discount

`Sales\ Tax = 7.5\%`

Required

Determine the amount paid

First, we add the total discount:

`D = D_1 + D_2`

`D = 30\% + 10\%`

`D = 40\%`

If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)

So:

`Amount = 60\% * \$160`

`Amount = \$96`

Calculate the sales tax

`Sales\ Tax = 7.5\% * \$96`

`Sales\ Tax = \$7.2`

`Total = \$96 + \$7.2`

`Total = \$103.20`