High School

Find the original cost of a rocker selling for [tex]\$159.95[/tex] at 20\% off.

Answer :

To find the original cost of the rocker before it was discounted, follow these steps:

1. Identify the Sale Price and Discount Percentage:
- The current sale price of the rocker is [tex]$159.95.
- The discount offered is 20%.

2. Calculate the Discount Amount:
- First, express the discount percentage as a fraction: \( \frac{20}{100} = 0.2 \).
- To find the discount amount, multiply the sale price by this fraction:
\[ \text{Discount Amount} = 0.2 \times 159.95 = \$[/tex]31.99. \]

3. Determine the Original Price:
- The original price is the sum of the current sale price and the discount amount:
[tex]\[ \text{Original Price} = 159.95 + 31.99 = \$191.94. \][/tex]

Thus, the original cost of the rocker before the 20% discount was applied is $191.94.