Correct Answer - Option 3 : 25000
Given:
90 percent votes were valid
Winning candidate got 50 percent of valid votes and won by 4500 votes
Losing candidate got 30 percent of valid votes.
Calculation:
Let total voters be x
Valid votes = 90% of x = 0.9x
Number of votes winning candidate got = 50% of 0.9x = 0.45x
Numbers of votes losing candidate got = 30% of 0.9x = 0.27x
Difference in votes = 0.45x – 0.27x = 0.18x
0.18x = 4500
⇒ x = 4500/0.18
⇒ x = 25000
∴ Total number of voters is 25000