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    Question

    In a mayoral election, the candidate who got 68% of the

    valid votes defeated his opponent by 2040 votes. How many votes did the opponent get?
    A 1824 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 total valid votes = 100x

    Winner's votes = 100x × 0.68 = 68x

    Loser's votes = 100x - 68x = 32x

    As per question,

    68x - 32x = 2040

    x = 2040 ÷ 36 = 56.66 ≈ 57

    So, loser's votes = 32 × 57 = 1824

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