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      Question

      In an election, there are only two candidates
      i.e. 'A' and 'B'. Out of the total votes, 20% were invalid. 'A' received 55% of the valid votes. If the difference between the valid votes received by 'A' and 'B' is 4000, then find the total number of invalid votes.

      A 8000 Correct Answer Incorrect Answer
      B 10000 Correct Answer Incorrect Answer
      C 12000 Correct Answer Incorrect Answer
      D 9000 Correct Answer Incorrect Answer

      Solution

      Let the total number of votes be 100x So, number of valid votes = 100x X 0.80 = 80x Or, valid votes received by 'A' = 80x X 0.55 = 44x Or, valid votes received by 'B' = 80x X 0.45 = 36x ATQ, (44x - 36x) = 4000 Or, 8x = 4000 So, 'x' = 500 So, invalid votes = 100x X 0.20 = 20x Therefore, required number of votes = 20 x 500 = 10000

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