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    Question

    During a college election, two students were in the fray.

    The one who received 75% of the valid votes won by a difference of 2250 votes. Determine the number of votes received by the losing candidate.
    A 1125 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 valid votes = 100x

    Votes received by winner = 100x × 0.75 = 75x

    Votes received by loser = 100x - 75x = 25x

    As per question,

    75x - 25x = 2250

    x = 2250 ÷ 50 = 45

    So, losing candidate's votes = 25 × 45 = 1125

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