Q11. - Algebra 1

Question

Find the discounted price of each item.

DVD: \(22.95 

discount: \)25 %

Step-by-Step Solution

Answer

The discounted price of the DVD is $17.2125.

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.

Sales tax is a percentage of the original cost which is added before selling an item. The final price is called the selling price. Similarly percentage discount is the cost that is reduced from the original price.

Step 2. Find the new price change.

If we let the total cost of the DVD be x, and the original price is $22.95, is given. 

x can be calculated as:

$\begin{array}{l}x=\$22.95-25\%\times \$22.95\\ x=22.95-\frac{25}{100}\times 22.95\\ x=22.95-0.25\times 22.95\\ x=22.95-5.7375\\ x=\$17.2125\end{array}$

Thus, the discounted price of the DVD is $17.2125.