Question

The original price of a pair of headphones is $89.99 before tax. When Brenda bought the headphones they rang up for $49.50 before tax. She then paid sales tax of 8% on the discounted price.

What is the percent discount on the headphones? Show all work and steps in your solution.

Answer 1

The percent discount on the headphones is calculated by subtracting the sale price from the original price, dividing the result by the original price, and then multiplying by 100, which gives a discount of 44.99%.

Step-by-step explanation:

The question asks for the percent discount on the headphones. To find the percent discount, we need to first find the difference between the original price and the sale price, and then divide that difference by the original price. Finally, we'll multiply the result by 100 to get the percentage.

1. Subtract the sale price from the original price: $89.99 - $49.50 = $40.49.
2. Divide the difference by the original price: $40.49 ÷ $89.99 ≈ 0.4499.
3. Multiply by 100 to find the percent: 0.4499 × 100 = 44.99%.

Therefore, the percent discount on the headphones is 44.99%.