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      Question

      The average marks obtained by a student in a certain

      number of tests is 36. His average increases by 2 when he scores 90 in his next test. Find the total marks obtained by him before he scored 90.
      A 936 Correct Answer Incorrect Answer
      B 920 Correct Answer Incorrect Answer
      C 950 Correct Answer Incorrect Answer
      D 960 Correct Answer Incorrect Answer

      Solution

      Let the number of tests taken by the student before he scores 90 be 'P'.

      Marks scored before = 36P

      (36P + 90) / (P + 1) = 38
      => 36P + 90 = 38P + 38
      => 2P = 52 => P = 26
      Total marks before = 36 ├Ч 26 = 936

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