Aptitude Question ID : 94343
If x : y = 2 : 3, then the value of $latex \frac{3x+2y}{9x+5y}&s=1$ is equal to :
[A]$latex \frac{1}{2}&s=1$
[B]$latex \frac{5}{14}&s=1$
[C]$latex \frac{4}{11}&s=1$
[D]$latex \frac{11}{4}&s=1$
$latex \mathbf{\frac{4}{11}}&s=1$
Given,
$latex \frac{x}{y} = \frac{2}{3}…….(1)&s=1$
$latex Expression = \frac{3x+2y}{9x+5y}&s=1$
$latex = \frac{3\cdot \frac{x}{y}+2}{9\cdot \frac{x}{y}+5} = \frac{3\times \frac{2}{3}+2}{9\times \frac{2}{3}+5}……..(from)(1)&s=1$
$latex = \frac{2+2}{11} = \frac{4}{11}&s=1$
Hence option [C] is correct answer.