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In an election with only two contesting candidates, 15% of the voters did not turn up to vote and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for…

Question and options

In an election with only two contesting candidates, 15% of the voters did not turn up to vote and 50 voters cast invalid votes. It is known that 44% of all the voters in the voting list voted for the winner. If the winner got 200 votes more than the other candidate, then the number of voters in the voting list is
  1. 2200
  2. 4250
  3. 5000
  4. 4950

Answer and explanation

Correct answer: C - 5000

The voting list has 50005000 voters. For a list of size NN, the winner gets 0.44N0.44N votes and the other candidate gets 0.85N−50−0.44N=0.41N−500.85N-50-0.44N=0.41N-50. Their difference is 0.03N+50=2000.03N+50=200, while 42504250 counts the people who turned up to vote.

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