Question
Amit scored 10% marks in a test and failed by 70 marks,
while Lisa scored 30% marks in the same test and failed by 30 marks. Find the passing marks of the test.Solution
ATQ, Let the maximum marks be 100m. Marks scored by Amit = 10% of 100m = 0.1×100m=10m. So, Passing marks = 10m+70 ------------- (I) Marks scored by Lisa = 30% of 100m = 0.3×100m=30m. So, Passing marks = 30m+30 -------------- (II) Comparing equation (I) and (II): 10m+70=30m+30 30m−10m=70−30 20m=40 m=2 Put the value of m=2 in equation (I), Passing marks=(10×2)+70=90
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