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      Question

      If the difference between the numbers of sold and unsold

      gold tickets in theatre D is 160 and the difference between the number of sold and unsold platinum tickets in theatre A is 150, then find the ratio of the number of unsold gold tickets in theatre D to the number of sold platinum tickets in theatre A. Study the following chart carefully and answer the given questions: The radar graph given below shows the percentage of movie tickets sold of two categories (gold and platinum) in four different theatres A, B, C and D in a month. Note: Total number of movie tickets = sold + unsold
      A 28:6 Correct Answer Incorrect Answer
      B 17:4 Correct Answer Incorrect Answer
      C 11:20 Correct Answer Incorrect Answer
      D 8:15 Correct Answer Incorrect Answer
      E 13:19 Correct Answer Incorrect Answer

      Solution

      According to the question, In theatre D, => 70% - 30% = 160 => 40% = 160 => 1% = 4 Number of unsold gold tickets in theatre D = (70/100) × 40 = 2.8 In theatre A, => 70% - 20% = 150 => 50% = 150 => 1% = 3 Number of sold platinum tickets in theatre A = (20/100) × 3 = .6 Required ratio = 2.8: .6 =28:6

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