The price of a table fan is first increased by 15% and then decreased by 15%. What is the net change in its price?

💡 Solution & Explanation

Take the price as 100. After a 15% increase it becomes 115. A 15% decrease is taken on 115, which is 17.25, so the price becomes 97.75. That is 2.25 less than the start: a net decrease of 2.25%. Shortcut: an equal rise and fall of x% always gives a decrease of x²/100 %.