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

To determine how much Claire pays for the dress, we can follow these steps:

1. **Calculate the sale price after the 30% discount:**
- The original price of the dress is $160.
- The discount amount is \(30\%\) of \(160\):
\[
\text{Discount} = 160 \times 0.30 = 48
\]
- The sale price after the discount:
\[
\text{Sale Price} = 160 - 48 = 112
\]

2. **Calculate the additional 10% discount from her aunt:**
- The amount of the additional discount is \(10\%\) of \(112\):
\[
\text{Aunt's Discount} = 112 \times 0.10 = 11.20
\]
- The price after the aunt's discount:
\[
\text{Price After Aunt's Discount} = 112 - 11.20 = 100.80
\]

3. **Calculate the sales tax (7.5%):**
- The sales tax amount is \(7.5\%\) of \(100.80\):
\[
\text{Sales Tax} = 100.80 \times 0.075 = 7.56
\]
- The total amount Claire pays is the price after discounts plus the sales tax:
\[
\text{Total Price} = 100.80 + 7.56 = 108.36
\]

Thus, the total amount Claire pays for the dress is \(\boxed{108.36}\). The correct answer is c. $108.36.