In a village 60\% votes were cast in an election. A and B were the contestants. A won by 600 votes. If B had got 40\% more votes, there would have been a tie between them. Find the number of recognized voters in the village. [RBI Officer Gr. 'B' (Phase I) Online Exam, 2014]
(a)4500
(b)2800
(c)3500
(d)3600
Answer
Answer (as printed): C
Explanation
Let the number of recognized voters in the village be $x$. A won election by votes = 600 B got 40\% more votes For candidate B $$\begin{aligned} & \because 40 \%=300 \\ & \therefore 100 \%=\frac{300}{40} \times 100=750 \end{aligned}$$ Votes got by $\mathrm{B}=750$ $$\text { ∴ Votes got by } \mathrm{A}=750+600=1350$$ According to the question, Number of votes cost in election 60\% of $$\begin{aligned} & x=1350+750=2100 \\ & \Rightarrow \frac{60 x}{100}=2100 \\ & \Rightarrow x=\frac{2100 \times 100}{60}=3500 \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.