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    Question

    In a local election between two candidates, the winning

    candidate secured 72% of the total valid votes and won the election by a margin of 1800 votes. Find the number of valid votes received by the losing candidate.
    A 1148 Correct Answer Incorrect Answer
    B 1235 Correct Answer Incorrect Answer
    C 1065 Correct Answer Incorrect Answer
    D 1155 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total number of valid votes cast = 100x

    Then, number of valid votes received by the winning candidate = 100x × 0.72 = 72x

    Number of valid votes received by the loser candidate = 100x - 72x = 28x

    According to the question,

    72x - 28x = 1800

    Or, x = 1800 ÷ 44 = 40.91 ≈ 41 (Round if needed)

    So, number of valid votes received by the loser candidate = 28 × 41 = 1148

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