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      Question

      In a mayoral election, the candidate who got 68% of the

      valid votes defeated his opponent by 2040 votes. How many votes did the opponent get?
      A 1824 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 Γ— 0.68 = 68x

      Loser's votes = 100x - 68x = 32x

      As per question,

      68x - 32x = 2040

      x = 2040 Γ· 36 = 56.66 β‰ˆ 57

      So, loser's votes = 32 Γ— 57 = 1824

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