• # question_answer If x : y = 2 : 3 and 2 : x = 1 : 2, then the value of y is __. A)  $\frac{1}{3}$                                   B)  $\frac{3}{2}$                       C) $6$                 D)         $\frac{1}{2}$

We have, $\frac{x}{y}=\frac{2}{3}$ and $\frac{2}{x}=\frac{1}{2}$ or $x=4$. Now putting $x$ in $\frac{x}{y}=\frac{2}{3}$, we get $\frac{4}{y}=\frac{2}{3}\Rightarrow 2y=4\times 3\Rightarrow y=6$