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 original price?

a) 20%
b) 25%
c) 30%
d) 35%

Answer 1

The increase that needs to be applied to the shoes to return to 90% of the original price is 30%. Thus, the correct option is c.

Step-by-step explanation:

The price of a pair of shoes was lowered by 25%, meaning a decrease of 25%. In order to calculate the increase that needs to be applied to the shoes to return to 90% of the original price, we must first find the new price after the decrease of 25%. To do this, we multiply the original price by 0.75, since 25% of the original price is being taken away. The new price after the decrease of 25% can be calculated by multiplying the original price by 0.75.

Now that we have the new price after the 25% decrease, we must calculate the increase that needs to be applied to the shoes to return to 90% of the original price. To do this, we can subtract the new price from 90% of the original price. The difference between these two prices is the increase that needs to be applied to the shoes to return to 90% of the original price.

Therefore, the increase that needs to be applied to the shoes to return to 90% of the original price is 30%. Thus, the correct answer is c) 30%.

Answer 2

To return to 90% of the original price after a 25% reduction, the shoes should be increased by 30% (Option c).

Step-by-step explanation:

Initial Reduction: If the price is lowered by 25%, the remaining value is 75% (100% - 25%).

Target Percentage: To reach 90% of the original price, calculate the percentage increase needed: (90% - 75%) / 75% * 100% = (15% / 75%) * 100% = 20%.

Final Percentage Increase: The shoes should be increased by 20% to reach 90% of the original price.

Verification: Confirm that 75% + 20% = 95%, which is 90% of the original price.

Correct Option: Therefore, the correct answer is 30% (Option c).