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8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

Correct answer: D. 27500

  • A. 21000
  • B. 2200
  • C. 23500
  • D. 27500

Explanation

Let the total electorate be E voters. The winner received 48% of E and, because 8% did not vote, the contestant received the remaining 92% − 48% = 44% of E; the winning margin is therefore 4% of E. Thus 0.04E = 1,100 votes, giving E = 1,100 ÷ 0.04 = 27,500 voters. The likely mistake is treating 48% as a percentage of votes cast rather than of the total electorate, which is the interpretation required by the options.

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