In an election between two candidates, 65% of the voters cast their votes, out of which 3% of the votes were decided to be invalid. A candidate got 81965 votes which are 65% of the total valid votes. What is the total number of votes enrolled in that election?

Solution (By Examveda Team)

$$\eqalign{ & {\text{Valid}} \cr & 65\% \to 81965 \cr & 1\% \to 1261 \cr & 100\% \to 126100 \cr & 65\% {\text{ of }}97\% \to 126100 \cr & 65 \times \frac{{97}}{{100}} \to 126100 \cr & 65\mu \to 130000 \cr & 100\mu \to 200000 \cr} $$