Question
In an exam, Aman scored 60% marks and failed by 85 marks
whereas Raj scored 80% marks in the same exam and scored 65 marks more than the passing marks. Find the maximum marks of the exam.Solution
ATQ; Let the maximum marks of the exam be ‘100x’ Marks scored by Aman = 100x × 0.60 = ‘60x’ Marks scored by Raj = 100x × 0.80 = ‘80x’ According to question: 60x + 85 = 80x – 65 Or, 80x – 60x = 85 + 65 Or, 20x = 150 Or, x = 7.5 Therefore, maximum marks of the exam = 100x = 100 × 7.5 = 750
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