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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

- 3 : 2
- 4 : 3
- 5 : 4
- 8 : 5

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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

(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"**

Choice B is the correct answer

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