a : b : c = 2 : 3 : 4 and 2a - 3b + 4c = 33, then the value of c is = ?

Answer: Option C

$$\begin{array}{rl}& a:b:c\\ & 2:3:4\\ & \text{Let }2x:3x:4x\\ & \Rightarrow 2a-3b+4c=33\\ & \Rightarrow 2\times 2x-3\times 3x+4\times 4x=33\\ & \Rightarrow 4x-9x+16x=33\\ & \Rightarrow 11x=33\\ & \Rightarrow x=3\\ & \therefore \text{c}\Rightarrow 4\times 3=12\end{array}$$