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16% of the voters did not cast their votes in an election between two candidates. 10% of the votes polled were found to be
invalid. The successful candidate got 60% of valid votes and won by a margin of 567 votes. The number of voters enrolled in
the voter list is:
3000
3750
2500
3570
- Total voters = V
- 16% did not vote ? votes cast = 84% of V
- 10% of these were invalid ? valid votes = 90% of 84% of V = 0.756V
- Successful candidate got 60% of the valid votes
- Candidate wins by margin of 567 votes
- 60% of valid votes - 40% of valid votes = 567 votes
- Therefore, 20% of valid votes = 567
- Thus, valid votes = 567 / 0.2 = 2835
- Valid votes = 0.756V = 2835
- Solving gives V = 2835 / 0.756 = 3750
- Correct Answer: Option 2: 3750
By: santosh ProfileResourcesReport error
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