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.

Advertisement

Comments