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    Question

    In a municipal election between two candidates, 12% of the

    total votes were declared invalid. Candidate 'X' secured 60% of the valid votes. If candidate 'Y' received 15,456 valid votes, then find the total number of votes polled.
    A 43,900 Correct Answer Incorrect Answer
    B 54,000 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 = 0.88 × 100n = '88n'

    Number of valid votes received by 'Y' = 0.40 × 88n = '35.2n'

    So, 35.2n = 15,456

    Or, 'n' = 439

    Therefore, total number of votes = 439 × 100 = 43,900

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