Question

A sporting goods store recently raised all of its prices 15%. After the increase, you purchased a tennis racket of $74.75. What was the price before the increase?

Answer 1

To find the original price of a tennis racket before a 15% increase, given that the increased price is $74.75, we use the formula for percentage increase. The original price is calculated as $74.75 divided by 1.15, which equals $65.

Step-by-step explanation:

The question asks to find the original price of a tennis racket before a 15% price increase, given that the increased price is $74.75. To find the original price, we need to use the formula for percentage increase: Original Price = Increased Price / (1 + Percentage Increase). Here, the percentage increase is 15%, or 0.15 in decimal form.

The calculation will be as follows:

Original Price = $74.75 / (1 + 0.15)

Original Price = $74.75 / 1.15

Original Price = $65

Therefore, the price of the tennis racket before the 15% increase was $65.