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      Question

      During a club election between members 'X' and 'Y', 10% of

      all votes were invalid. If 'X' got 52% of the valid votes and 'Y' secured 21,168 valid votes, determine the total votes cast.
      A 49,000 Correct Answer Incorrect Answer
      B 55,000 Correct Answer Incorrect Answer
      C 60,000 Correct Answer Incorrect Answer
      D 75,100 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the total number of votes be '100n'

      Number of valid votes = 0.90 × 100n = 90n

      Number of valid votes received by 'Y' = 0.48 × 90n = 43.2n

      So, 43.2n = 21,168

      Or, n = 490

      Therefore, total number of votes = 490 × 100 = 49,000

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