If x/y = 3/4 , the ratio of (2x + 3y) and (3y - 2x) is = ?

Answer: Option C

$$\begin{array}{rl}& \text{Given }\\ & \frac{x}{y}=\frac{3}{4}\\ & \Rightarrow \frac{2x+3y}{3y-2x}\\ & =\frac{2\times 3+3\times 4}{3\times 4-2\times 3}\\ & =\frac{6+12}{12-6}\\ & =\frac{18}{6}\\ & =3:1\end{array}$$
This is the required ratio 3 : 1