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    Question

    In a school election, two students contested for the

    position of head boy. The winner got 60% of the votes and won by 800 votes. Calculate the number of votes secured by the other candidate.
    A 1600 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

    Votes secured by winner = 100x × 0.60 = 60x

    Votes secured by loser = 100x - 60x = 40x

    Given,

    60x - 40x = 800

    Or, x = 800 ÷ 20 = 40

    So, votes received by the losing candidate = 40 × 40 = 1600

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