In an examination 75% of the total students passed in English and 65% passed in
Mathematics, while 15% failed in English as well as Mathematics. If a total of 495 candidates
were passed in all subjects, then how many students appeared for the examination?
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Answer:
Total Students = 800
Step-by-step explanation:
Total Students = 100 %
Passed in English = E = 75%
Passed in Mathematics = M = 90 %
Passed in Both = E ∩ M = 70 %
Failed in Both = F %
=> Total = E + M - E∩M + F
=> 100 = 75 + 90 - 70 + F
=> F = 5
5 % Failed in both
40 Students Failed in both Subject
5% = 40
1 % = 40/5 = 8
100 % = 100 * 8 = 800
Total Students = 800
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