The price of an item increased by 20%, and then a 25% discount was applied. What is the net percentage change in the price?

The price of an item increased by 20%, and then a 25% discount was applied. What is the net percentage change in the price?

Explanation
  1. Increase by 20%:

  2. Apply a 25% discount on the increased price:


    25% text{ of } 120 = 30 Rightarrow 120 - 30 = 90

So, the final price is 90, and the original was 100.

  1. Net percentage change:

    frac{90 - 100}{100} times 100 = -10%