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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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