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Previous Year Question (PYQs)

If a number is increased by 30% and then decreased by 20%, what is the net change?




Solution

Let the original number be $100$.

Increased by $30\%$ ⇒ New value = $100 + 30 = 130$.
Decreased by $20\%$ ⇒ New value = $130 - 20\% \text{ of } 130 = 130 - 26 = 104$.

Net change = $104 - 100 = +4$.
Percentage change = $\dfrac{4}{100} \times 100 = 4\%$.

✅ Final Answer: Net increase of 4%

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