Question
In an exam, Vaibhav scored 180 marks but fell short by
5% to pass. If he had scored 54 more marks, he would have passed by 4%. What is the passing percentage?Solution
Let the total marks be x According to the question 180 + x × 5% = (180 + 54) – x ×4% 180 + 0.05x = 234 – 0.04x 0.04x + 0.05x = 234 – 180 0.09x = 54 x = 54/0.09 = 600 Passing percentage = 180/600 × 100 + 5% = 30% + 5% = 35%
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