Question:
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2010, and in the ratio 3:4:3 in 2015. If Ramesh’s salary increased by 25% during 2010-2015, then the percentage increase in Rajesh’s salary during this period is closest to
Updated On: Jul 28, 2025
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The Correct Option is B
Solution and Explanation
In 2010, the salaries of Ramesh, Ganesh, and Rajesh were in the ratio 6:5:7.
Let the common multiple be \( x \):
- Ramesh's salary = \( 6x \)
- Ganesh's salary = \( 5x \)
- Rajesh's salary = \( 7x \)
In 2015, the salary ratio was 3:4:3. Let the new common multiple be \( y \):
- Ramesh's salary = \( 3y \)
- Ganesh's salary = \( 4y \)
- Rajesh's salary = \( 3y \)
We are told that Ramesh’s salary increased by 25% from 2010 to 2015. That gives us:
\[ 6x \times 1.25 = 3y \Rightarrow 7.5x = 3y \Rightarrow y = \frac{7.5x}{3} = 2.5x \]
Now, Rajesh’s salary in:
- 2010: \( 7x \)
- 2015: \( 3y = 3 \times 2.5x = 7.5x \)
Increase in Rajesh’s salary:
\[ 7.5x - 7x = 0.5x \]
Percentage increase:
\[ \frac{0.5x}{7x} \times 100 = \frac{50}{7} \approx 7.14\% \]
Final Answer: Approximately 7% increase
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