A number is first increased by 20% and then the result is decreased by 20%. What is the net percentage change?

Question

A bought a phone from a store and paid $\frac{1}{6}$ of the price using UPI, $\frac{1}{3}$ of the price in cash, and the remaining balance a year later. He also paid 10% interest on the remaining balance after one year. What was the original price of the phone?

Answer 1

Use the successive-change formula $a + b + \dfrac{ab}{100}$ with $a = +20$, $b = -20$: $20 - 20 + \dfrac{(20)(-20)}{100} = -\dfrac{400}{100} = -4$, i.e. a 4% decrease.

A number is first increased by 20% and then the result is decreased by 20%. What is the net percentage change?

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The Correct Option is C

Solution and Explanation

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