Question Bank • QB_GA_001 NAT • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

The price of a book is first increased by $20\%$ and subsequently decreased by $20\%$. The net percentage change in the price of the book is ________ % (answer in integer).

Answer Key:

-4

Step-by-Step Solution & Explanation

Let initial price be $100$. 1. After $20\%$ increase: $100 \times 1.20 = 120$. 2. After $20\%$ decrease: $120 \times (1 - 0.20) = 120 \times 0.80 = 96$. Net change: $96 - 100 = -4\%$. Alternatively, using the successive percentage formula $a + b + \frac{ab}{100}$: $20 - 20 + \frac{20 \times (-20)}{100} = -\frac{400}{100} = -4\%$
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