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CAT Previous Year Paper | CAT Quants Questions | Question 23

We've seen that the CAT exam loves to combine two or more topics in its questions to test the students' ability to grasp and comprehend the concepts rather than just memorizing formulae. Hence, your online CAT preparation should be so strong that you are able to combine two or more topics and solve a question by applying these concepts. One way to test how you are faring in such questions is to go through CAT previous year paper as they'll give you a flavour of the kind of questions you can expect in your CAT Question Paper. Don't wait, start right away with this beautiful and imprortant question which combines the topics of Ratio and Proportion as well as Percentages taken from CAT 2019 Question Paper Slot 2.

Question 23 : 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. 7
  2. 8
  3. 9
  4. 10

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Explanatory Answer

The salaries of Ramesh, Ganesh and Rajesh were in the ratio 6: 5: 7 in 2010
In 2015, their salaries are in the ratio 3: 4: 3 respectively.
It is also given that; Ramesh's salary increases by 25% during 2010 - 2015
So, Ramesh's salary in 2015 = x 6 = 7.5
Salary in 2015 = 3: 4: 3 (Given)
Salary in 2015 = 7.5: x: y (From data)
3 in order to jump to 7.5, must be multiplied by 2.5
So, multiplying 2.5 to all the other values,
Salary in 2015 = 7.5: 10: 7.5
Percentage increase in Rajesh's salary during 2010 - 2015 = Percentage increase from 7 to 7.5 = x 100, which is close to 7%


The question is "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 "

Hence, the answer is 7

Choice A is the correct answer.

 

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