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The salary of a man increases by 10% in the first year, then by 20% in the second year and then by 25% in the third year. If the last increase is equivalent to an increase of Rupees 6600, then what is the equivalent of the second increase?
The salary of a man increases by 10% in the first year, then by 20% in the second year and then by 25% in the third year. If the last increase is equivalent to an increase of Rupees 6600, then what is the equivalent of the second increase?
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Successive percentage changes apply multiplicatively. To find an increment in a later year, multiply the base \(S\) by the cumulative factor up to that year and the given percentage.
Updated On: Jul 16, 2026
- Rupees 2000
- Rupees 2200
- Rupees 4000
- Rupees 4400
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The Correct Option is D
Solution and Explanation
Step 1: Let the initial salary be \(S\). After year 1 it is \(1.10S\), and after year 2 it is \(1.10\times1.20S=1.32S\).
Step 2: The third increase is \(25\%\) of \(1.32S\), i.e. \(0.33S\). Given this equals Rupees 6600, \(0.33S=6600\), so \(S=20000\).
Step 3: The second increase is \(20\%\) of the salary after year 1, i.e. \(0.20\times1.10\times20000=0.22\times20000\). \[ \boxed{Rupees\ 4400} \]
Step 2: The third increase is \(25\%\) of \(1.32S\), i.e. \(0.33S\). Given this equals Rupees 6600, \(0.33S=6600\), so \(S=20000\).
Step 3: The second increase is \(20\%\) of the salary after year 1, i.e. \(0.20\times1.10\times20000=0.22\times20000\). \[ \boxed{Rupees\ 4400} \]
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