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    Question

    In an election between two contestants M and N, 10% of the

    votes were not valid. M received 52% of the valid votes. If N received 22,032 valid votes, determine the total number of votes.
    A 48,700 Correct Answer Incorrect Answer
    B 51,000 Correct Answer Incorrect Answer
    C 60,000 Correct Answer Incorrect Answer
    D 75,100 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total number of votes be 100n

    Valid votes = 0.90 × 100n = 90n

    Valid votes received by N = 0.48 × 90n = 43.2n

    So, 43.2n = 22,032

    ⇒ n = 510

    Therefore, total number of votes = 510 × 100 = 51,000

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