Question

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?​

Answer 1

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