In an election between two candidates, 80% of the eligible voters cast their votes, 5% of the votes cast were declared invalid. A
candidate got 10545 votes, which were 75% of the total valid votes. Find the total number of eligible voters.
This questions was previously asked in
SSC CHSL 24th May 2022 Shift-3
Explanation:
- The problem involves determining the total number of eligible voters in an election scenario.
- 80% of eligible voters cast their votes.
- Out of those, 5% of the votes were invalid.
- A candidate received 10,545 votes, accounting for 75% of the valid votes.
- To find total eligible voters, calculate total valid votes as \(\frac{10,545}{0.75}\).
- The total votes cast then is \(\frac{\text{valid votes}}{0.95}\).
- The number of eligible voters will be \(\frac{\text{total votes cast}}{0.80}\).
Let's calculate:
- Valid votes = \(\frac{10,545}{0.75} = 14,060\).
- Total votes cast = \(\frac{14,060}{0.95} ˜ 14,800\).
- Eligible voters = \(\frac{14,800}{0.80} = 18,500\).
- Option 2: 18,500 is the correct answer.
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