Question
Download Solution PDF8% of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner, by obtaining 48% of the total votes, defeated his contestant by 110 votes. The total number of voters in the election was:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
8% of the voters in an election did not cast their votes.
There were only two candidates.
The winner obtained 48% of the total votes and defeated his contestant by 110 votes.
Formula used:
Total Votes Cast = 92% of Total Voters
Winner's Votes - Runner-up's Votes = 110
Calculation:
Let Total Voters be x.
Total Votes Cast = 92% of x = 0.92x
Winner's Votes = 48% of x = 0.48x
Runner-up's Votes = Total Votes Cast - Winner's Votes = 0.92x - 0.48x = 0.44x
Winner's Margin = Winner's Votes - Runner-up's Votes
⇒ 0.48x - 0.44x = 110
⇒ 0.04x = 110
⇒ x = 110 / 0.04
⇒ x = 2750
∴ The correct answer is option (2).
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