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ExamsIBPS POQuantitative Aptitude

In an election between two candidates, 10% of the voters did not vote and 15% of the votes cast were declared invalid. The winner got 60% of the valid votes and received 180 votes. Find the number of voters on the electoral roll.

  1. 400
  2. 410
  3. 435
  4. 475

Correct answer: 400

Solution

The winner got 180 votes, which is 60% of the valid votes, so valid votes = 300. Since 15% of votes cast were invalid, valid votes are 85% of votes cast, so votes cast = \(300/0.85\). Also, 10% of total voters did not vote, so votes cast are 90% of total voters. This gives total voters = 400.

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