Chapter 7.6, Problem 22E

To determine

To find: The find the original price.

Answer to Problem 22E

The original price is $\$300$ .

Explanation of Solution

Given information: The sale price- $\$210$ and the discount price- $30\%$ .

Calculation: Here, The sale price is $\$210$ and the discount percent is $30\%$ .

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

  $\begin{array}{l}=x\times 30\%\\ =x\times \frac{30}{100}\\ =x\times 0.30\\ =0.30x\end{array}$

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

  $\begin{array}{c}\$210=x-0.30x\\ \$210=0.70x\\ x=\frac{\$210}{0.70}\\ x=\$300\end{array}$

Hence, The original price is $\$300$ .