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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
(2019)
  • a)
    8
  • b)
    10
  • c)
    7
  • d)
    9
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2...
Let salaries of Ramesh, Ganesh and Rajesh in 2010 be 6x, 5x and 7x respectively.
Also, let salaries of Ramesh, Ganesh and Rajesh in 2015 be 3y, 4y and 3y respectively
Given, 3y = 1.25 × 6x ⇒ = 2.5x
∴ Salary of Rajesh in 2015 = 3y = 3 × 2.5x = 7.5x
∴ Percentage increase in salary of Rajesh 
 ≈ 7
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Most Upvoted Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in 2...
The ratio of salaries of Ramesh, Ganesh, and Rajesh in 2010 is 6:5:7.
Let's assume the salaries of Ramesh, Ganesh, and Rajesh in 2010 were 6x, 5x, and 7x respectively, where x is a common factor.

The ratio of salaries of Ramesh, Ganesh, and Rajesh in 2015 is 3:4:3.
Let's assume the salaries of Ramesh, Ganesh, and Rajesh in 2015 were 3y, 4y, and 3y respectively, where y is a common factor.

We know that the salaries of Ramesh, Ganesh, and Rajesh in 2010 and 2015 are in the ratio 6:3, 5:4, and 7:3 respectively.

Comparing the salaries of Ramesh:
6x/3y = 6/3
2x/y = 2
x/y = 1

Comparing the salaries of Ganesh:
5x/4y = 5/4
5x = 5/4 * 4y
5x = 5y
x = y

Comparing the salaries of Rajesh:
7x/3y = 7/3
7x = 7/3 * 3y
7x = 7y
x = y

Since x = y, the common factor in both 2010 and 2015 is the same. Therefore, we can conclude that the salaries of Ramesh, Ganesh, and Rajesh in 2010 and 2015 were equal.
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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(2019)a)8b)10c)7d)9Correct answer is option 'C'. Can you explain this answer?
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