# Reverse percentages

**Reverse percentages**

This is when the result of a given percentage increase or decrease is provided and the original amount is required to be calculated.

Jane brought trousers from a sale. She received 15% off and only paid $25. What is the original price?

This is calculated using inverse operations.

*p* will be the original price of the jeans.

*p* × 0.85 = $25 so *p* = $25 ÷ 0.85 = $21,25

Points to note:

in order to get back to the original amount, inverse operations is used to divide the new amount by 0.85 and to get back to the original amount.