If x : y = 3 : 4, then (2x + 3y) : (3y - 2x) would be equal to.`

Answer: Option B

$$\begin{array}{rl}& =\frac{x}{y}=\frac{3}{4}\\ & =\frac{2x+3y}{3y-2x}\\ & =\frac{2\left(\frac{x}{y}\right)+3}{3-2\left(\frac{x}{y}\right)}\\ & =\frac{2\times \frac{3}{4}+3}{3-2\times \frac{3}{4}}\\ & =\frac{9}{2}\times \frac{2}{3}=3\\ & =\left(2x+3y\right):\left(3y-2x\right)\\ & =3:1\end{array}$$