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CAT 2019 Quant Question with Solution 35

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

  1. 8
  2. 7
  3. 9
  4. 10
Show Answer

Correct Answer: Option: 2

Let their salaries in 2010 be 6x, 5x and 7x respectively.

Also, let their salaries in 2015 be 3y, 4,y and 3y respectively

Given, $3y = 1.25 \times 6x$

Or y = 2.5x.

Therefore, salary of Rajesh in 2015 = $3y = 3 \times 2.5x=7.5x$

Percentage increase = $\left( \frac{7.5x-7x}{7x} \right)\times 100\approx 7%$

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