Questions: A store manager decides to clear out playground slides to make room for new inventory. Now a 100 playground slide will be on sale for only 96. What is the discount, as a percentage?
Write your answer using a percent sign (%).
Transcript text: A store manager decides to clear out playground slides to make room for new inventory. Now a $\$ 100$ playground slide will be on sale for only $\$ 96$. What is the discount, as a percentage?
Write your answer using a percent sign (\%).
Solution
Solution Steps
To find the discount percentage, we need to determine the difference between the original price and the sale price, then divide that difference by the original price. Finally, we multiply the result by 100 to convert it to a percentage.
Step 1: Calculate the Discount Amount
The discount amount can be calculated as follows:
\[
\text{Discount Amount} = \text{Original Price} - \text{Sale Price} = 100 - 96 = 4
\]
Step 2: Calculate the Discount Percentage
The discount percentage is found by dividing the discount amount by the original price and then multiplying by 100:
\[
\text{Discount Percentage} = \left( \frac{\text{Discount Amount}}{\text{Original Price}} \right) \times 100 = \left( \frac{4}{100} \right) \times 100 = 4.0
\]