**Question: **

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

5 : 4 | |

8 : 5 | |

4 : 3 | |

3 : 2 |

**Show Answer**

Let the score of Amal and Bimal be 11k and 14k

Let the scores be increased by x

So, after increment, Amal's score = 11k + x and Bimal's score = 14k + x

According to the question,

\(\frac{{{\rm{11k + x}}}}{{{\rm{14k + x}}}}\) = \(\frac{{47}}{{56}}\)

On solving, we get x = \(\frac{{42}}{9}\)k

Ratio of Bimal's new score to his original score

= \(\frac{{{\rm{14k + x}}}}{{{\rm{14k}}}}\)

=\(\frac{{14k + \frac{{42k}}{9}}}{{14k}}\)

=\(\frac{{{\rm{168k}}}}{{{\rm{14*9k}}}}\)

=\(\frac{4}{3}\)

Hence, option A is the correct answer.

**Also Check:**841+ CAT Quant Questions with Solutions

## CAT Quant Questions with Video Solutions

CAT Quant Questions Set 01CAT Quant Questions Set 02

CAT Quant Questions Set 03

CAT Quant Questions Set 04

CAT Quant Questions Set 05

CAT Quant Questions Set 06

#### CAT Quant Online Course

- 1000+ Practice Problems
- Detailed Theory of Every Topics
- Online Live Sessions for Doubt Clearing
- All Problems with Video Solutions

**CAT 2018 Questions Paper with Solution PDF **Download