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    Question

    In a village council election between two contenders 'R'

    and 'S', 15% of total votes were declared invalid. 'R' received 58% of the valid votes. If 'S' got 19,278 valid votes, find the total number of votes.
    A 49,000 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 = 0.85 × 100n = 85n

    Number of valid votes received by 'S' = 0.42 × 85n = 35.7n

    So, 35.7n = 19,278

    Or, n = 540

    Therefore, total number of votes = 540 × 100 = 54,000

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