Chapter 7.6, Problem 21E

To determine

To find: The original price.

Answer to Problem 21E

The original price is $\$200$ .

Explanation of Solution

Given information: The sale price- $\$150$ and the discount price- $25\%$ .

Calculation: Here, The sale price is $\$150$ and the discount percent is $25\%$ .

Let, the original price = $x$ .

The discount amount should be subtracted from the original price.

The equation to find the original price is,

Sale price = Original price $-$ Discount amount $\mathrm{......}(1)$

Where the discount amount = Original price $\times$ Discount percent

  $\begin{array}{l}=x\times 25\%\\ =x\times \frac{25}{100}\\ =x\times 0.25\\ =0.25x\end{array}$

Let’s find the new price with the help of equation $(1)$ ,

  $\begin{array}{c}\$150=x-0.25x\\ \$150=0.75x\\ x=\frac{\$150}{0.75}\\ x=\$200\end{array}$

Hence, The original price is $\$200$ .