Multiple choice

In an election between two candidates 10% of voters did not cast their vote. 10% of the votes polled were found invalid. The successful candidate got 60% of the valid votes and won by a majority of 4050 votes. The number of voters enrolled was

  1. 25000

  2. 22500

  3. 20250

  4. 40000
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A Correct answer
Explanation

10% of voters did not vote, so 90% voted. 10% of those votes were invalid, leaving 90% × 90% = 81% valid votes. Winner got 60% of valid votes, loser got 40%, so majority is 20% of valid votes = 20% of 81% = 16.2% of total voters. 16.2% of total = 4050, so total = 4050 / 0.162 = 25000.

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