CAT 2019 Slot 2 — QA Question 23
Percentage ChangeEasy
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
Answer & solution
7
- B
8
- C
9
- D
10
Solution
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6 : 5 : 7 in 2010
In 2010, let salary of Ramesh = 6x, Ganesh = 5x & Rajesh = 7x
In 2015, their salaries are in the ratio 3 : 4 : 3 respectively.
In 2015, let salary of Ramesh = 3y, Ganesh = 4y & Rajesh = 3y
Now, Ramesh’s salary increased by 25%
Hence, 3y = 5/4 × 6x
⇒ y = 2.5x
∴ Rajesh’s salary in 2015 = 3y = 3 × 2.5x = 7.5x
Percentage increase in Rajesh's salary during 2010 - 2015 = × 100% ≈ 7.
Hence, option (a).