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    Question

    In a village election between two candidates, the winner

    secured 65% of the total votes cast and won by a majority of 9000 votes. How many votes did the losing candidate get?
    A 9600 Correct Answer Incorrect Answer
    B 11000 Correct Answer Incorrect Answer
    C 12000 Correct Answer Incorrect Answer
    D 10500 Correct Answer Incorrect Answer

    Solution

    Total votes cast = 100% % of votes secured by winner = 65% % of votes secured by loser = 100 – 65 = 35% Majority = Votes secured by winner – Votes secured by loser = 65% – 35% = 30% Votes secured by losing candidate = 35/30 × 9000 = 10500

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