Practicing Success
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. |
4500 3500 5000 3000 |
4500 |
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 |