Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-21

If \[\frac{x}{y}=\frac{4}{5},\]then the value of \[\left( \frac{4}{7}+\frac{2y-x}{2y+x} \right)\] is                                                                           [SSC (10+2) 2014]

A) \[\frac{3}{7}\]

B) \[\frac{8}{7}\]

C) 1

D) 2

Correct Answer: C

Solution :

\[x=\frac{4y}{5}\]

Now, \[\left( \frac{4}{7}+\frac{2y-x}{2y+x} \right)=\left( \frac{4}{7}+\frac{2y-\frac{4y}{5}}{2y+\frac{4y}{5}} \right)\]

\[=\frac{4}{7}+\frac{6y}{5}\times \frac{5}{14y}=\frac{7}{7}=1\]