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    Question

    In an election involving two parties, 16% of the total

    votes were invalid. One of the candidates received 58% of the valid votes, and the other got 19,008 valid votes. Find out how many total votes were cast.
    A 48,700 Correct Answer Incorrect Answer
    B 53,900 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 = 0.84 × 100n = 84n

    Votes received by the other candidate = 0.42 × 84n = 35.28n

    So, 35.28n = 19,008

    ⇒ n = 539

    Therefore, total number of votes = 539 × 100 = 53,900

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