Question

A computer supplies store is having a storewide sale this weekend. An inkjet printer that normally sells for $\mathbf{\backslash (}\mathbf{179}\mathbf{.}\mathbf{00}$is on sale for $\mathbf{\backslash )}\mathbf{143}\mathbf{.}\mathbf{20}$. What is the percent discount of the sale price?

Short answer

The discount of the sale price is $\mathbf{20}\mathbf{\%}$.

Step-by-step solution

Step 1. State the concept of discount percent.

When the price of an article is reduced and sold it means a discount has been offered. When the price reduced is expressed as a percentage, it is called a discount percentage or the discount rate.

Step 2. Calculate the amount discounted.

Actual price of the inkjet is $\$179.00$.

Selling price of the inkjet on the sale is $\$143.20$.

$\begin{array}{r}\text{DiscountedAmount=Actualprice-Selling\hspace{0.17em}\hspace{0.17em}price}\\ \text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}=179.00-143.20}\\ \text{=\$35.80}\end{array}$

The amount discounted is $\$35.80$.

Step 3. Calculate the percent discount.

The percent discount is calculated as follows:

$\%\text{\hspace{0.17em}\hspace{0.17em}discount}=\frac{\text{Discounted\hspace{0.17em}\hspace{0.17em}Amount}}{\text{Actual\hspace{0.17em}\hspace{0.17em}price}}\times 100\dots \left(1\right)$

Substitute discounted amount as $35.80$and actual price as 179 in equation (1) to get the percent discount.

$\begin{array}{c}\%\text{\hspace{0.17em}\hspace{0.17em}discount=}\frac{35.80}{179}\times 100\\ =\frac{3580}{179}\\ =20\end{array}$

Therefore, the discount of the sale price is $20\%$.