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Question

A gets 30% of the full marks in an exam and fails by 90 marks. B gets 36% of the full marks in the same exam and he also fails by 72 marks. What is the minimum percentage of marks a student should obtain to pass the exam?

A 50 Correct Answer Incorrect Answer
B 44 Correct Answer Incorrect Answer
C 60 Correct Answer Incorrect Answer
D 57 Correct Answer Incorrect Answer
E 46 Correct Answer Incorrect Answer

Solution

Let maximum marks = 100x ∴ 30x + 90 = 36x + 72 => 6x = 18 => x = 3 ∴ Max marks = 100x = 300 ∴ Minimum percentage marks to be pass = {[(30×3) + 90]/300} × 100 = 60%

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