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CAT 2018 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Ratio and Proportions Questions | Question 24

This is a classic question from the topic of Ratios. In CAT 2018 Question Paper we got to see some extremely wonderful questions that laid emphasis on learning ideas from the very basics and implementing them. Remember, the concepts are more important than just mugging up a plethora of formulae. 2IIM's Online CAT Preparation helps you with exactly that. Sign up and enjoy the process of learning!

Question 24 : The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is

  1. 3 : 2
  2. 4 : 3
  3. 5 : 4
  4. 8 : 5

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Explanatory Answer

Method of solving this CAT Question from Ratio and Proportions

Given that the scores of Amal and Bimal in an examination are in the ratio 11 : 14 i.e. 11x : 14x
After an appeal their scores increased by the same amount and their new scores are in the ratio 47 : 56

CAT 2018 Question Paper Quants Slot 2 Ratio and Proportions

(11x + a) × 56 = (14x + a) × 47
616x + 56a = 658x + 47a
56a – 47a = 42x
9a = 42x
3a = 14x
a = \\frac{14x}{3})
The ratio of Bimal’s new score to that of his original score is \\frac{14x + a}{14x})
⟹ \\frac{14x + \frac{14x}{3}}{14x}) where a = \\frac{14x}{3})
⟹ \\frac{1 + \frac{1}{3}}{1})
Hence the ratio of Bimal’s new score to that of his original score is 4 : 3

The question is "The scores of Amal and Bimal in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of Bimal’s new score to that of his original score is"

Hence, the answer is 4 : 3

Choice B is the correct answer

 

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