Question
In a college exam, 80% of students passed in Accounts,
30% of students failed in Economics and 20% failed in both subjects. If 210 students passed in both Accounts and Economics, find the total number of students who passed in Accounts.Solution
ATQ, Let total students = 100x. Passed in Accounts = 80x Failed in Accounts = 20x Failed in Economics = 30x Passed in Economics = 70x Failed in both = 20x Let students passed in both = A. Then, Only Accounts = 80x – A Only Economics = 70x – A Total students = (Acc only) + (Eco only) + (Both pass) + (Both fail) = (80x – A) + (70x – A) + A + 20x = 170x – A But total = 100x, so 170x – A = 100x A = 70x Given A = 210, 70x = 210 x = 3 Students passed in Accounts = 80x = 80 × 3 = 240
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