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    Question

    During a club election between members 'X' and 'Y', 10% of

    all votes were invalid. If 'X' got 52% of the valid votes and 'Y' secured 21,168 valid votes, determine the total votes cast.
    A 49,000 Correct Answer Incorrect Answer
    B 55,000 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'

    Number of valid votes = 0.90 × 100n = 90n

    Number of valid votes received by 'Y' = 0.48 × 90n = 43.2n

    So, 43.2n = 21,168

    Or, n = 490

    Therefore, total number of votes = 490 × 100 = 49,000

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