# Aptitude Question ID : 94343

If x : y = 2 : 3, then the value of $\frac{3x+2y}{9x+5y}$ is equal to :
[A]$\frac{1}{2}$
[B]$\frac{5}{14}$
[C]$\frac{4}{11}$
[D]$\frac{11}{4}$

$\mathbf{\frac{4}{11}}$
Given,
$\frac{x}{y} = \frac{2}{3}.......(1)$
$Expression = \frac{3x+2y}{9x+5y}$
$= \frac{3\cdot \frac{x}{y}+2}{9\cdot \frac{x}{y}+5} = \frac{3\times \frac{2}{3}+2}{9\times \frac{2}{3}+5}........(from)(1)$
$= \frac{2+2}{11} = \frac{4}{11}$
Hence option [C] is correct answer.