In an examination 62% of the examinees got passed in Mathematics, 52% passed in English and 22% failed in both the subjects. If 108 is the… — Answer & Discussion

In an examination 62% of the examinees got passed in Mathematics, 52% passed in English and 22% failed in both the subjects. If 108 is the number of examinees who passed in both the subjects then find out the total number of candidates –

A900
B300
C400
D1000

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity01 Jul 2019

Let the total number of students be X.

Then, according to question:

Number of students passed in Mathematics = 0.62X

Number of students passed in English = 0.52X

Number of students passed in both Mathematics and English = 108

Number of students fail in both Mathematics and English = 0.22X

We know that, Number of students passed + Number of students failed = Total number of students

Now, number of students passed = 0.62X + 0.52X – 108 (Because 108 factor got counted twice)

∴ 0.62X + 0.52X – 108 + 0.22X = X

⇒ 1.36X – 108 = X

⇒ X = 300