Question

Find the total price of each item.

CD player: $89.99

discount: 15%

Short answer

The discounted price of the CD player is $76.492.

Step-by-step solution

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

Step 2. Concept of Discount.

Discount is a percentage of the original price that is subtracted from the price of the item the final price is called selling price. It is a percent of the decrease in the cost.

Step 3. Find the new price. 

We are given the following price and the discount percentages:

CD player: $89.99

discount: 15%

The discount is 15% of the price. We will subtract this amount from the original price.

So If x represents the new price after subtracting the discount then we have:

$\begin{array}{l}x=\text{Cost-Discount}\%\text{ofCost}\\ x=\$1099-25\%\times \$1099\\ x=1099-\frac{25}{100}\times 1099\\ x=1099-0.25\times 1099\\ x=1099-274.75\\ x=\$824.25\end{array}$

Thus, the discounted price of the CD player is $76.492.