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?
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?
Solution
Step 1: Let's assume the original price of the shoes is $100 for simplicity.
Step 2: If the price was lowered by 25%, the new price would be $75 (100 - 25% of 100).
Step 3: 90% of the original price is $90 (90% of 100).
Step 4: To find out by what percent the price of 90, we subtract 90 to get $15.
Step 5: Then, we divide 75 and multiply by 100 to get the percentage increase.
So, the price should be increased by 20% to return to 90% of the original price.
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