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    Question

    In a head-to-head election, 15% of the total votes were

    invalid. Of the valid votes, 60% were in favour of the winning candidate, and the victory margin was 1,700 votes. Calculate the number of valid votes.
    A 13,000 Correct Answer Incorrect Answer
    B 16,400 Correct Answer Incorrect Answer
    C 12,150 Correct Answer Incorrect Answer
    D 11,200 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of votes be '100n' Number of valid votes = 0.85 X 100n = '85n' Number of valid votes received by winning candidate = 0.6 X 85n = '51n' Number of valid votes received by losing candidate = 0.4 X 85n = '34n' So, 51n - 34n = 1,700 Or, 17n = 1,700 Or, 'n' = 100 Number of valid votes = 85 X 100 = 8,500

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