Question
In a scholarship test, 'P'
achieved 28% of the total marks and fell short of passing by 45 marks. Meanwhile, 'Q' scored 44% of the total marks, which was 75 marks higher than the required passing marks. Determine the passing percentage for this test.Solution
ATQ, Let the maximum marks of the test be‘x’. Marks scored by P = 0.28x Marks scored by Q = 0.44x According to question, 0.28x + 45 = 0.44x – 75 0.16x = 120, x = 750 So, the passing marks = 0.28 × 750 + 45 = 210 + 45 = 255 Required passing percentage = (255/750) × 100 = 34%
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