In an election between 2 candidates, 75% voters cast their votes out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total no. of voters in the list.

16800

Let Total Votes = V

Cast votes = V × 75% = V × \(\frac{3}{4}\)

Valid Votes = Cast votes × 98% = V × \(\frac{3}{4}\) × \(\frac{49}{50}\)

Candidate A got = 75% of valid votes = V × \(\frac{3}{4}\) × \(\frac{49}{50}\) × \(\frac{3}{4}\) = 9261 (given)

V = 9261 × \(\frac{4}{3}\) × \(\frac{50}{49}\) × \(\frac{4}{3}\)

V = 16800