Question
Bella scored 20% marks in a test and failed by 75 marks,
whereas Tara scored 40% marks in the same test and failed by 25 marks. Find the passing marks of the test.Solution
ATQ, Let the maximum marks be 100m. Marks scored by Bella = 20% of 100m = 0.2×100m=20m. So, Passing marks = 20m+75 ------------- (I) Marks scored by Tara = 40% of 100m = 0.4×100m=40m. So, Passing marks = 40m+25 -------------- (II) Comparing equation (I) and (II): 20m+75=40m+25 40m−20m=75−25 m=2.5 Put the value of m=2.5 in equation (I), Passing marks=(20×2.5)+75=125
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