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    Question

    In an election between two

    candidates, the winning candidate secured 25% more votes than the losing candidate. If the winner received 125 more votes than the losing candidate, how many votes were cast in total? Assume all votes were valid.
    A 1152 Correct Answer Incorrect Answer
    B 1125 Correct Answer Incorrect Answer
    C 1250 Correct Answer Incorrect Answer
    D 1122 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the votes received by the losing candidate be 100x. Votes received by the winning candidate = 1.25×100x=125x. According to the question: 125x−100x=125 25x=125 x=5 So, the total number of votes cast = 100x+125x=225x=225×5=1125.

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