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      Question

      In a local body election, 10% of the total votes were

      invalid. Candidate 'M' received 52% of the valid votes. If the other candidate 'N' got 21,120 valid votes, then determine the total number of votes cast.
      A 48,900 Correct Answer Incorrect Answer
      B 54,000 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 'N' = 0.48 × 90n = '43.2n'

      So, 43.2n = 21,120

      Or, 'n' = 489

      Therefore, total number of votes = 489 × 100 = 48,900

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