Question

The price of a pair of shoes was lowered by 25%. By what percent should the shoes be increased to return to 90% of the earlier price?

A. 20%
B. 25%
C. 33%
D. 30%

Answer 1

To return to 90% of the earlier price, the shoes should be increased by 20%. Therefore, the correct answer is option A. 20%.

Step-by-step explanation:

To find the percent by which the shoes should be increased to return to 90% of the original price, we first need to calculate the original price.

Let x be the original price.

Since the price of the shoes was lowered by 25%, the new price is 75% of the original price.

So, 75% of x is equal to 90% of the original price:

0.75x = 0.90x

Dividing both sides by x gives:

0.75 = 0.90

Therefore, the shoes should be increased by 20% to return to 90% of the earlier price.