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    Question

    Two people contested in a council election. One of them

    secured 64% of the total valid votes and won by 1280 votes. Find out how many valid votes the runner-up got.
    A 1656 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 × 0.64 = 64x

    Loser's votes = 100x - 64x = 36x

    Given,

    64x - 36x = 1280

    x = 1280 ÷ 28 = 45.71 ≈ 46

    So, loser's votes = 36 × 46 = 1656

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