Ajay got 30% of the maximum marks in an examination and failed by 10 marks .…

2025

Ajay got 30% of the maximum marks in an examination and failed by 10 marks . However , Vijay who took the same examination got 40% of the total marks and got 40% of the total marks and got 15 marks more than the passing marks . What were the passing marks in the examination ?

  1. A.

    90

  2. B.

    85

  3. C.

    75

  4. D.

    250

Attempted by 103 students.

Show answer & explanation

Correct answer: B

Let the maximum marks be x.

  1. Ajay's marks = 30% of x = 0.3x. Since Ajay failed by 10 marks, passing marks = 0.3x + 10.

  2. Vijay's marks = 40% of x = 0.4x. Vijay scored 15 marks more than the passing marks, so passing marks = 0.4x - 15.

  3. Equate the two expressions for passing marks: 0.3x + 10 = 0.4x - 15.

  4. Solve: 0.4x - 0.3x = 10 + 15 => 0.1x = 25 => x = 250.

  5. Now passing marks = 0.3*250 + 10 = 75 + 10 = 85.

Answer: Passing marks = 85.

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