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      Question

      12% of the voters in an election did not cast their

      votes. In the election, there were only two candidates. The winner by obtaining 45% of the total votes defeated his contestant by 860 votes. The total number of voters in the election were
      A 42,000 Correct Answer Incorrect Answer
      B 43,000 Correct Answer Incorrect Answer
      C 16,000 Correct Answer Incorrect Answer
      D 45,000 Correct Answer Incorrect Answer

      Solution

      Let the total numbers of voters be x Vote cast = 88% of x = `88/100x` = `(22x)/25` Votes in favor of winning candidates = `45/100x` = `(9x)/20` Votes polled by defeated candidates = `(22x)/25-(9x)/20` `(9x)/20-((22x)/25-(9x)/20)` = 860 `(2x)/100` = 860 x = 86,000/2 = 43,000

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