Question
In an annual exam of class 9, out of the total number of students, 70% passed in English, 40% failed in Maths and 10% failed in both subjects. If 120 students passed in both the subjects, then find the total number of students who passed in English.
Solution
ATQ, Let total appeared students = 100x. Passed in English = 70x Failed in English = 30x Failed in Maths = 40x Passed in Maths = 60x Failed in both = 10x Let students passed in both subjects = A. Then, Only English = 70x – A Only Maths = 60x – A Total students = (Only Eng) + (Only Maths) + (Both pass) + (Both fail) = (70x – A) + (60x – A) + A + 10x = 140x – A But total = 100x, so 140x – A = 100x A = 40x Given A = 120, 40x = 120 x = 3 Total students passed in English = 70x = 70 × 3 = 210
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