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      Question

      In an election between two candidates, the candidate who

      received the most votes secured 58% of the total votes and won by a margin of 4,000 votes. How many votes did the losing candidate receive?
      A 10500 Correct Answer Incorrect Answer
      B 11200 Correct Answer Incorrect Answer
      C 12600 Correct Answer Incorrect Answer
      D 11400 Correct Answer Incorrect Answer

      Solution

      Let the total votes be '100p'.
      Number of votes won by winning candidate = 0.58 X 100p = '58p'
      Number of votes won by losing candidate = 100p - 58p = '42p'
      So, 58p - 42p = 4,000
      Or, 16p = 4,000
      Or, 'p' = 250
      Therefore, required number of votes = 42 x 250 = 10,500

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