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      Question

      In a contest between two nominees 'X' and 'Y', 10% of all

      the votes were found to be invalid. If 'X' secured 60% of the valid votes and 'Y' got 21,600 valid votes, determine the total number of votes polled.
      A 52,000 Correct Answer Incorrect Answer
      B 60,000 Correct Answer Incorrect Answer
      C 55,000 Correct Answer Incorrect Answer
      D 57,520 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' = 0.40 × 90n = 36n

      So, 36n = 21,600

      Or, n = 600

      Therefore, total number of votes = 600 × 100 = 60,000

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