In an examination, 20% students failed in English, 35% failed in Hindi. 27% of the students failed in both. If the number of passed student is 288, then the number of students who appeared in the examination is—

Explanation

Failed students in English = n(E) = 20% Failed students in Hindi = n(H) = 35% Students failed in both subjects = n(E∩H) = 27% Total failed students = n(E∪H) n(E∪H) = n(E) + n (H) – n(E∩H) = (20 +35 – 27)% n (E∪H) = 28%