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      Question

      In a school election, two students contested for the

      position of head boy. The winner got 60% of the votes and won by 800 votes. Calculate the number of votes secured by the other candidate.
      A 1600 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

      Votes secured by winner = 100x × 0.60 = 60x

      Votes secured by loser = 100x - 60x = 40x

      Given,

      60x - 40x = 800

      Or, x = 800 ÷ 20 = 40

      So, votes received by the losing candidate = 40 × 40 = 1600

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