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      Question

      In a test, P got 30% of total marks and failed by 30

      marks while Q got 40% of total marks which is 22 more than passing marks. Find the total marks of the test.
      A 500 Correct Answer Incorrect Answer
      B 530 Correct Answer Incorrect Answer
      C 520 Correct Answer Incorrect Answer
      D 510 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total marks of the test be тАШxтАЩ Therefore, marks scored by P = 0.3x Therefore, passing marks of the test = 0.3x + 30 Marks scored by Q = 0.40x Also, passing marks of the test = 0.40x тАУ 22 Therefore, 0.3x + 30 = 0.4x тАУ 22 Or, 0.1x = 52 Or, x = 52/0.1 = 520 Therefore, total marks of the test = 520

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