Will bought a new skateboard that was on sale. The original price of the skateboard was [tex]\$60[/tex]. The store had marked it down by 20 percent, and Will had a 25 percent off coupon as well.

What was the price of the skateboard before tax?

A. [tex]\$12[/tex]
B. [tex]\$24[/tex]
C. [tex]\$36[/tex]
D. [tex]\$48[/tex]



Answer :

Let's break down the steps to determine the final price of the skateboard before tax:

1. Original Price of the Skateboard:
[tex]\[ \text{Original Price} = \$60 \][/tex]

2. Store Markdown of 20%:
The skateboard is marked down by 20%, which means it is reduced by:
[tex]\[ \text{Markdown Amount} = 20\% \times \$60 = 0.20 \times \$60 = \$12 \][/tex]

Subtracting this markdown amount from the original price, the price after the markdown is:
[tex]\[ \text{Price After Markdown} = \$60 - \$12 = \$48 \][/tex]

3. Additional 25% Off Coupon:
After the markdown, Will uses a 25% off coupon. The discount amount due to the coupon is:
[tex]\[ \text{Coupon Discount} = 25\% \times \$48 = 0.25 \times \$48 = \$12 \][/tex]

Subtracting this coupon discount from the price after the markdown, the final price is:
[tex]\[ \text{Final Price} = \$48 - \$12 = \$36 \][/tex]

Therefore, the price of the skateboard before tax is:
[tex]\[ \boxed{\$ 36} \][/tex]