If x : y = 3 : 4 and a : b = 1 : 2, then the value of 2xa + yb3yb - 4xa is

Answer: Option D

$$\begin{array}{rl}& =\frac{x}{y}=\frac{3}{4}\text{ and }\frac{a}{b}=\frac{1}{2}\\ & \Rightarrow \frac{xa}{yb}=\frac{3}{4}\times \frac{1}{2}=\frac{3}{8}\\ & \frac{2xa+yb}{3yb-4xa}\\ & =\frac{2\left(\frac{xa}{yb}\right)+1}{3-4\left(\frac{xa}{yb}\right)}\\ & =\frac{2\times \frac{3}{8}+1}{3-4\times \frac{3}{8}}\\ & =\frac{7}{4}\times \frac{2}{3}\\ & =\frac{7}{6}\end{array}$$