Question

In an examination , 30% of the candidates failed in English, 35% failed in G.K. and 27% failed in both the subjects. If 310 candidates passed in both, how many candidates appeared in the examination ?

Answer 1

Please find below the solution to the asked query:

Given : In a examination 30% students failed in English and 27 % failed in English and G.K. , So

Percentage of students failed only in English = 30% - 27% = 3 %

Also given : In a examination 35% students failed in G.K. and 27 % failed in English and G.K. , So

Percentage of students failed only in G.K. = 35% - 27% = 8 %

Then,

Percentage of students failed in one or both subjects = 3 % + 8 % + 27 % = 38 %

So,

Percentage of students passed only in both subjects = 100% - 38% = 62 %

Also given : Total students passed in both subjects = 310 , We assume total students appeared for examination = x , So

62 % of x = 310
62 × x100 =310⇒x =310×10062⇒x =10×1002⇒x =10×50⇒x =500
Therefore,

Total students appeared for examination = 500