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      Question

      In a local election between two candidates, the winning

      candidate secured 72% of the total valid votes and won the election by a margin of 1800 votes. Find the number of valid votes received by the losing candidate.
      A 1148 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 number of valid votes cast = 100x

      Then, number of valid votes received by the winning candidate = 100x × 0.72 = 72x

      Number of valid votes received by the loser candidate = 100x - 72x = 28x

      According to the question,

      72x - 28x = 1800

      Or, x = 1800 ÷ 44 = 40.91 ≈ 41 (Round if needed)

      So, number of valid votes received by the loser candidate = 28 × 41 = 1148

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