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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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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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