Quantitative Aptitude Ques 660

Question: The ratio between the present ages of Dheeraj and Raman is 2: 3. 4 yr ago, the ratio between their ages was 5: 8. What will be Dheeraj’s age after 7 yr?

Options:

A) 29 yr

B) 35 yr

C) 31 yr

D) 33 yr

E) 41 yr

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let present age of Raman be $ x. $ Then, present age of Dheeraj $ =\frac{2x}{3} $ Four years ago, $ \frac{\frac{2x}{3}-4}{x-4}=\frac{5}{8} $
    $ \Rightarrow $ $ \frac{2x-12}{3(x-4)}=\frac{5}{8} $

$ \Rightarrow $ $ 16x-96=15x-60 $

$ \Rightarrow $ $ x=36 $

$ \therefore $ Dheeraj s age after 7 yr $ =\frac{2x}{3}+7=\frac{2\times 36}{3}+7 $ $ =24+7=31yr $