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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
  • a)
    10
  • b)
    7
  • c)
    9
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in ...
Given information:
Salaries ratio in 2010: Ramesh:Ganesh:Rajesh = 6:5:7
Salaries ratio in 2015: Ramesh:Ganesh:Rajesh = 3:4:3

Step 1: Finding the common ratio
To find the common ratio between the two years, we need to find the ratio of the ratios of the salaries in 2015 to 2010 for each person.

For Ramesh:
Salary ratio in 2015 to 2010 = Ramesh's salary in 2015 / Ramesh's salary in 2010
= 3 / 6
= 1/2

For Ganesh:
Salary ratio in 2015 to 2010 = Ganesh's salary in 2015 / Ganesh's salary in 2010
= 4 / 5
= 4/5

For Rajesh:
Salary ratio in 2015 to 2010 = Rajesh's salary in 2015 / Rajesh's salary in 2010
= 3 / 7
= 3/7

So, the common ratio between the two years for each person is:
Ramesh:Ganesh:Rajesh = 1/2 : 4/5 : 3/7

Step 2: Finding the percentage increase in Rajesh's salary
To find the percentage increase in Rajesh's salary, we need to compare his salary in 2015 to his salary in 2010.

Let's assume Rajesh's salary in 2010 was x.
Then, his salary in 2015 would be (3/7)x.

The percentage increase in Rajesh's salary during 2010-2015 can be calculated as:
Percentage increase = ((Salary in 2015 - Salary in 2010) / Salary in 2010) * 100
= (((3/7)x - x) / x) * 100
= ((-4/7)x / x) * 100
= (-4/7) * 100
= -57.14%

So, the percentage increase in Rajesh's salary during 2010-2015 is approximately -57.14%.

However, the answer options provided are all positive values, so we need to consider the absolute value of the percentage increase, which is approximately 57.14%.

The closest option to 57.14% is 7%, which is option (B).

Therefore, the correct answer is option (B) 7%.
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Community Answer
The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6:5:7 in ...
Let the salaries of Ramesh, Ganesh and Rajesh in 2010 be 6x, 5x, 7x respectively
Let the salaries of Ramesh, Ganesh and Rajesh in 2015 be 3y, 4y, 3y respectively
It is given that Ramesh's salary increased by 25% during 2010=2015,3y = 1.25*6x
y=2-5x
Percentage increase in Rajesh's salary = 7.5 – 7/7=0.07
= 7%
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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 toa)10b)7c)9d)8Correct answer is option 'B'. Can you explain this answer?
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