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      Question

      Two people contested in a council election. One of them

      secured 64% of the total valid votes and won by 1280 votes. Find out how many valid votes the runner-up got.
      A 1656 Correct Answer Incorrect Answer
      B 1235 Correct Answer Incorrect Answer
      C 1065 Correct Answer Incorrect Answer
      D 1155 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total valid votes = 100x

      Winner's votes = 100x × 0.64 = 64x

      Loser's votes = 100x - 64x = 36x

      Given,

      64x - 36x = 1280

      x = 1280 ÷ 28 = 45.71 ≈ 46

      So, loser's votes = 36 × 46 = 1656

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