SATHEE: Quantitative Aptitude Ques 1616

Quantitative Aptitude Ques 1616

Question: The ratio of the present ages of Sushma and Karishma is 6: 7 respectively. The ratio of their ages 8 yr hence would be 8: 9 respectively. What would be the respective ratio of their ages after 12 yr? [NICL (AO) 2015]

Options:

A) 17: 19

B) 15: 17

C) 9: 10

D) 10: 11

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Let the present ages of Sushma and Karishma be s and k, respectively. According to the question, $ \frac{s}{k}=\frac{6}{7} $
$ \Rightarrow $ $ 7s=6k $ (i) and $ \frac{s+8}{k+8}=\frac{8}{9} $

$ \Rightarrow $ $ 9s+72=8k+64 $
$ \Rightarrow $ $ 8k-9s=8 $

$ \Rightarrow $ $ 8\times \frac{7}{6}s-9s=8 $ [using Eq. (i)]

$ \Rightarrow $ $ \frac{28s}{3}-9s=8 $
$ \Rightarrow $ $ 28s-27s=24 $

$ \Rightarrow $ $ s=24 $ And therefore $ k=\frac{7s}{6}=28 $ Hence, $ \frac{s+12}{k+12}=\frac{24+12}{28+12}=\frac{36}{40}=\frac{9}{10} $

Quantitative Aptitude Ques 1615

Quantitative Aptitude Ques 1617

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