In an election two candidates participated. 20% voters did not cast their votes and 600 votes declared invalid and winner gets 75% of the valid votes and won by 1500 votes. Find the number of voter in the list.
Answer & explanation
Correct answer: option 1
Let total voters = V
Cast votes = 80% of V = V × \(\frac{4}{5}\)
Valid votes = (cast votes - 600) = {(V × \(\frac{4}{5}\)) - 600}
Winner gets 75% of valid votes, Looser gets 25% of valid votes,
Therefore, winner won by 50% (75% -25% ) of valid votes.
ATQ,
50% of valid votes = 1500
50% of {(V × \(\frac{4}{5}\)) - 600} = 1500
\(\frac{1}{2}\) × {(V × \(\frac{4}{5}\)) - 600} = 1500
V × \(\frac{4}{5}\) = 3600
V = 4500