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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

thanks i got it easy, but, how the last step comes as =40x(100/10) it should be 40x(10/100) as it is 10%. please explain.

Start with last but one line.

10% ,i.e., (10/100) of (total students who failed ) = 40. It means if there were F students who failed, then 10% of N or (10/100) x N = 40. OR 10xN = 40x100. OR N = (40x100) / 10. [ It is 10% of Total student who failed AND NOT 10% of 40.] Hope it clears doubt. If not, say so. Will try to explain with other examples,please.

Correction to above, F should be N. If there were N students who failed.