Multiple choice

There are two candidates P and Q in an election. During the campaign, 40% of the voters promised to vote for P, and rest for Q. However, on the day of election, 15% of the voters went back on their promise to vote for P and instead voted for Q. 25% of the voters went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2 votes, what was the total number of voters?

  1. 100

  2. 110

  3. 90

  4. 95
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total voters be X. P starts with 0.4X, Q with 0.6X. P loses 0.15 * 0.4X = 0.06X to Q. Q loses 0.25 * 0.6X = 0.15X to P. New P = 0.4X - 0.06X + 0.15X = 0.49X. New Q = 0.6X + 0.06X - 0.15X = 0.51X. Difference = 0.02X = 2, so X = 100.

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