Q12. - Algebra 1

Question

SKATEBOARD A skateboard costs $99.99. If you have a coupon for 20% off, how much will you save?

Step-by-Step Solution

Answer

The amount saved after applying the coupon is $19.998.

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 amount saved on the skateboard be x, and the original price is $99.99, is given. 

x can be calculated as:

$\begin{array}{l}x=20\%\text{ of Cost of Skateboard}\\ x=20\%\times \$99.99\\ x=\frac{20}{100}\times 99.99\\ x=0.2\times 99.99\\ x=\$19.998\end{array}$

Thus, the amount saved after applying the coupon is $19.998.