Three candidates P, Q and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P over took R by 2,412 votes. If 90% voters voted and no invalid or illegal votes were cast, then what was the number of voters in the voting list?

Answer: Option A

Solution

Answer: Option A

Solution:

$$35\%=\frac{7}{20},15\%=\frac{3}{20}$$

$$\begin{array}{rl}& \Rightarrow 90\%=42210\\ & \Rightarrow 100\%=\frac{42210}{90}\times 100=46900\end{array}$$