If x/2 = y/3 = z/4 = 2x - 3y + 5zk , then the value of k is -

Answer: Option B

$$\begin{array}{rl}& \text{Let }\frac{x}{2}=\frac{y}{3}=\frac{z}{4}=l\\ & \text{Then,}\\ & =x=2l,y=3l,z=4l\\ & \therefore \frac{x}{2}=\frac{2x-3y+5z}{k}\\ & \Rightarrow \frac{2l}{2}=\frac{2\times 2l-3\times 3l+5\times 4l}{k}\\ & \Rightarrow k=4-9+20=15\end{array}$$