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In an examination, 22.5% of the student failed in science & 25% failed in French. If 30% failed in both the subjects, then the percentage of students who passed in both the subjects, was – 1). 81%2). 82.5%3). 85%4). 89% |
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Answer» Students Failed in science = n(A) = 22.5% Students failed in French = n(B) = 25% Students who failed in both the subjects = n (A ∩ B) = 30% As we know, n(A ∪ B) = n(A) + n(B) – n(A ∩ B) ⇒ n(A ∪ B) = 22.5 + 25 – 30 = 17.5% Students failed EITHER one or both SUBJECT = 17.5% ∴ PERCENTAGE of students who PASSED in both subjects = 100 – 17.5 = 82.5% Hence, the percentage of students who passed in both the subjects is 82.5% |
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