Multiple choice general knowledge math & puzzles

Two-fifths of the voters promise to vote for P and the rest promise to vote for Q. Of these, on the last day, 15% of the voters went back on their promise to vote for P and 25% of voters went back of their promise to vote for Q, and P lost by 2 votes. Then the total number of voters is:

  1. 100

  2. 110

  3. 90

  4. 95

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total voters be 100x. P has 40x and Q has 60x. Defecting from P to Q is 15% of 40x = 6x, so P loses 6x and gains 25% of 60x = 15x from Q. Final votes for P = 40x - 6x + 15x = 49x, and for Q = 60x - 15x + 6x = 51x. The difference is 51x - 49x = 2x, which equals 2 votes, so x = 1 and total voters is 100.