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.
Answer & explanation
Correct answer: option 1
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