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?

A. 46,900

B. 42,800

C. 42,210

D. 48,500

Answer: Option A

Solution(By Examveda Team)

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

$$\eqalign{ & \Rightarrow 90\% = 42210 \cr & \Rightarrow 100\% = \frac{{42210}}{{90}} \times 100 = 46900 \cr} $$