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      Question

      The average number of books on history, polity and

      geography in a library is 190, and the average number of books on history and geography is 160. If the number books on geography is 20% less than the number of books on polity, then what is the number of books on history in the library?
      A 120 Correct Answer Incorrect Answer
      B 100 Correct Answer Incorrect Answer
      C 160 Correct Answer Incorrect Answer
      D 140 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number of books on History, Polity and Geography be x, y and z respectively. Given, (x + y + z)/3 = 190 Or, x + y + z = 570 ….. (1) And, (x + z)/2 = 160 Or, x + z = 320 ….. (2) From equation 1 and 2 Number of books on polity = y = 250 Number of books on geography = 0.8 × 250 = 200 Therefore, number of books on history = 570 – (250 + 200) = 120

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