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      Question

      In a village election between two candidates, the winner

      secured 70% of the total votes cast and won by a majority of 13000 votes. How many votes did the losing candidate get?
      A 9600 Correct Answer Incorrect Answer
      B 8000 Correct Answer Incorrect Answer
      C 9750 Correct Answer Incorrect Answer
      D 10500 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Total votes cast = 100%ย  % of votes secured by winner = 70%ย  % of votes secured by loser = 100 โ€“ 70 = 30%ย  Majority = Votes secured by winner โ€“ Votes secured by loser = 70% โ€“ 30% = 40%ย  Votes secured by losing candidate = 30/40 ร— 13000 = 9750ย 

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