Let A and B represent the sets of students who passed in English and Mathematics respectively. If 15% of candidates failed in both, then 85% passed at least one of the exams. Then, the total number of students passed in one or both subjects = n (A ∪ B) = n (A) + n (B) - n (B ∩ B) 0.85 = 0.75 + 0.65 - n (A ∩ B) n (A ∩ B) = 1.40 -0.85 - 0.55 55% of number of students = 495 ∴ Number of students =