Question Details

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

Options

A

8

B

7

C

9

D

10

Show Answer

Correct Answer :

Option B

7

Solution :

Let the salaries of Ramesh, Ganesh, and Rajesh in 2010 be 6x, 5x, and 7x respectively.

Let their salaries in 2015 be 3y, 4y, and 3y respectively.

It is given that Ramesh's salary increased by 25% during 2010-2015. Therefore,
3y=6x×1.25=7.5x
This gives y=2.5x.

Now, Rajesh's salary in 2010 was 7x, and in 2015 it is:
3y=3(2.5x)=7.5x

The percentage increase in Rajesh's salary is:
7.5x7x7x×100=0.57×100=507%7.14%

The percentage increase is closest to 7.

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