Question
In an exam, Rahul scored 50% marks and failed by 75
marks whereas Priya scored 70% marks in the same exam and scored 55 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 Rahul = 100x × 0.50 = ‘50x’ Marks scored by Priya = 100x × 0.70 = ‘70x’ According to question: 50x + 75 = 70x – 55 Or, 70x – 50x = 75 + 55 Or, 20x = 130 Or, x = 6.5 Therefore, maximum marks of the exam = 100x = 100 × 6.5 = 650
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