Question
Download Solution PDFIn an election contested between two candidates, 15% of the total voters did not cast their votes and 100 votes got disqualified. The candidate who won the election won by securing 45% of the total votes and won by a margin of 400 votes. Find the total number of voters.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
% voters who did not cast votes = 15%
Number of disqualified votes = 100
Winner candidate won by % of total votes = 45%
Winner candidate won by margin = 400 votes
Formula used:
Total votes cast = Winner's votes + loser's votes - vote margin
Total votes cast = Total votes % - % votes who did not cast vote - disqualified votes.
Calculation:
Let total voters be 100%x
Total votes cast = Total votes % - % votes who did not cast vote.
⇒ 100%x - 15%
⇒ 85%x
Votes got disqualified = 100
thus, Total votes cast = 85%x - 100
Winner got 45% of the total votes cast:
loser got = 45%x - 400
According to the question,
85% - 100 = 45%x + 45%x - 400
⇒ 300 = 90%x - 85%x
⇒ 300 = 5%x
⇒ x = 6000
∴ The total number of voters is 6000.
Last updated on Jul 9, 2025
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