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

A. 2 : 1

B. 3 : 1

C. 3 : 2

D. 21 : 1

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & = \frac{x}{y} = \frac{3}{4} \cr & = \frac{{2x + 3y}}{{3y - 2x}} \cr & = \frac{{2\left( {\frac{x}{y}} \right) + 3}}{{3 - 2\left( {\frac{x}{y}} \right)}} \cr & = \frac{{2 \times \frac{3}{4} + 3}}{{3 - 2 \times \frac{3}{4}}} \cr & = \frac{9}{2} \times \frac{2}{3} = 3 \cr & = \left( {2x + 3y} \right):\left( {3y - 2x} \right) \cr & = 3:1 \cr} $$