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    Question

    In an election between two candidates, the candidate who

    received the most votes secured 58% of the total votes and won by a margin of 4,000 votes. How many votes did the losing candidate receive?
    A 10500 Correct Answer Incorrect Answer
    B 11200 Correct Answer Incorrect Answer
    C 12600 Correct Answer Incorrect Answer
    D 11400 Correct Answer Incorrect Answer

    Solution

    Let the total votes be '100p'.
    Number of votes won by winning candidate = 0.58 X 100p = '58p'
    Number of votes won by losing candidate = 100p - 58p = '42p'
    So, 58p - 42p = 4,000
    Or, 16p = 4,000
    Or, 'p' = 250
    Therefore, required number of votes = 42 x 250 = 10,500

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