Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-44

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?

A) 15 yr

B) 20 yr

C) 16 yr

D) 24 yr

E) 8 yr

Correct Answer: C

Solution :

\[4\,\,yr\]ago, let Ram's age \[=\,\,x\,\,yr\]and

Shyam's age \[=\frac{3}{4}x\,\,yr\]

Now, Ram's present age \[(x+4)\,\,yr\]

and Shyam's present age \[=\left( \frac{3}{4}x+4 \right)yr\]

According to the question,

\[\frac{5}{6}(x+4+4)=\left( \frac{3}{4}x+4+4 \right)\]

\[\Rightarrow \] \[4\,\,(5x+40)=6\,\,(3x+32)\]

\[\Rightarrow \] \[20x+160=18x+192\]\[\Rightarrow \]\[2x=32\]

\[\therefore \] \[x=16\]

Hence, present age of Shyam\[=\frac{3}{4}\times 16+4=16\,\,yr\]