Q35. - Algebra 1

Question

Find the discounted price of each item.

Belt: $14.99  

discount: 20%

Step-by-Step Solution

Answer

The discounted price of the belt is $11.992.

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:

Belt: $14.99  

discount: 20% 

The discount is 20% 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:

$\begin{array}{l}x=\text{Cost - Discount}\%\text{ of Cost}\\ x=\$14.99-20\%\times \$14.99\\ x=14.99-\frac{20}{100}\times 14.99\\ x=14.99-0.20\times 14.99\\ x=14.99-2.998\\ x=\$11.992\end{array}$

Thus, the discounted price of the belt is $11.992.