Question

Sally’s Shoe Store put all of its merchandise on sale for 20% off. If Kelley saved $10 by purchasing one pair of shoes during the sale, what was the original price of the shoes before the sale?

Answer 1

Given:

Merchandise on sale = 20% off

Kelley saved = $10.

Find-: The original price.

Sol:

Let original price = x.

The 20% off then the price is:

$\begin{gathered} \text{ 100 price then sale price =80} \\ \\ \text{ 1 price so sale price =}\frac{80}{100} \\ \\ \text{ original price x then sale price =}\frac{80}{100}\times x \\ \\ =0.8x \end{gathered}$

Kelley saved $10 then.

$\begin{gathered} x-0.8x=10 \\ \\ 0.2x=10 \\ \\ x=\frac{10}{0.2} \\ \\ x=50 \end{gathered}$

So the original price is $50.