A backpack normally costs \$25 but is on sale for \$21. What is the percentage discount applied to the backpack?

• A. 20%
• B. 8%
• C. 12%
• D. 16%

Answer: (D)

Verified step by step guidance

1. Step 1: Understand the formula for calculating the percentage discount. The formula is: \( \text{Percentage Discount} = \frac{\text{Original Price} - \text{Sale Price}}{\text{Original Price}} \times 100 \).
2. Step 2: Identify the values given in the problem. The original price of the backpack is \$25, and the sale price is \$21.
3. Step 3: Substitute the given values into the formula. \( \text{Percentage Discount} = \frac{25 - 21}{25} \times 100 \).
4. Step 4: Simplify the numerator by subtracting the sale price from the original price. This gives \( 25 - 21 = 4 \).
5. Step 5: Divide the result by the original price and multiply by 100 to calculate the percentage discount. \( \text{Percentage Discount} = \frac{4}{25} \times 100 \).