# In an exam 80% of the students passed in Eng, 85% in Math and 75% in both. if 40 students failed in both subjects, the total number of students is?

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by rameis89

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by rameis89

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The Brainliest Answer!

Students passed in both Eng and Math = 75% ---(1)

==> Students passed in Eng only = 80% - 75% = 5% ----(2)

Also students passed in Math only = 85% - 75% = 10% -----(3)

Total of (1) , (2) and (3) = 75%+5%+10% = 90%

Remaining students failed = 100% - 90% = 10%.

10% , i.e., (10/100) of total students who failed = 40

==> Total students = 40 x(100 / 10) = 400

==> Students passed in Eng only = 80% - 75% = 5% ----(2)

Also students passed in Math only = 85% - 75% = 10% -----(3)

Total of (1) , (2) and (3) = 75%+5%+10% = 90%

Remaining students failed = 100% - 90% = 10%.

10% , i.e., (10/100) of total students who failed = 40

==> Total students = 40 x(100 / 10) = 400