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

• A. 8
• B. 7
• C. 9
• D. 10

Answer 1

The Correct Option is B

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