A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?

Question

a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06

Answer 1

To determine the final price of the shirt after applying the discount and adding sales tax, we can follow these steps:

1. Calculate the discounted price:

   • The regular price of the shirt is $45.99.
   • The discount is 35%, so we calculate the discount amount: \[ \text{Discount} = 45.99 \times 0.35 = 16.0965 \]
   • Now we subtract the discount from the regular price to find the sale price: \[ \text{Sale Price} = 45.99 - 16.0965 \approx 29.8935 \]

2. Add sales tax:

   • The sales tax rate is 7.25%, so we calculate the sales tax on the sale price: \[ \text{Sales Tax} = 29.8935 \times 0.0725 \approx 2.168 \]
   • Next, we add the sales tax to the sale price to find the final amount at the register: \[ \text{Final Price} = 29.8935 + 2.168 \approx 32.0615 \]

Rounding to two decimal places, the final price at the register is approximately $32.06.

Therefore, the correct answer is: d. $32.06