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      Question

      During a college election, two students were in the fray.

      The one who received 75% of the valid votes won by a difference of 2250 votes. Determine the number of votes received by the losing candidate.
      A 1125 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 the total valid votes = 100x

      Votes received by winner = 100x Γ— 0.75 = 75x

      Votes received by loser = 100x - 75x = 25x

      As per question,

      75x - 25x = 2250

      x = 2250 Γ· 50 = 45

      So, losing candidate's votes = 25 Γ— 45 = 1125

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