Quantitative Aptitude Ques 1872

Question: Four year ago, Shyam’s age was 3/4 times of that of Ram. Four year hence, Shyam’s age will be 5/6 times that of Ram. What is the present age of Shyam?

Options:

A) 15 yr

B) 20 yr

C) 16 yr

D) 24 yr

E) 8 yr

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ 4yr $ ago, let Ram’s age $ =xyr $ and Shyam’s age $ =\frac{3}{4}xyr $ Now, Ram’s present age $ (x+4)yr $ and Shyam’s present age $ =( \frac{3}{4}x+4 )yr $ According to the question, $ \frac{5}{6}(x+4+4)=( \frac{3}{4}x+4+4 ) $

$ \Rightarrow $ $ 4(5x+40)=6(3x+32) $

$ \Rightarrow $ $ 20x+160=18x+192 $
$ \Rightarrow $ $ 2x=32 $

$ \therefore $ $ x=16 $ Hence, present age of Shyam $ =\frac{3}{4}\times 16+4=16yr $