In an examination 80% passed in English, 85% passed in
Mathematics but 75% passed in both the subjects. If only 45 examinees failed
in both the subjects then find the number of examinees.
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Answer:
400
Step-by-step explanation:
Let the total number of student is x
Number of student passed in both subject is
n(A∪B)=n(A)+n(B)−(A∩B)
Here, n(A)=80% of x
n(B)=85% of x
n(c)=75% of x
∴n(A∪B)=
100
80
x+
100
85
x−
100
75
x
⇒
100
90x
⇒
10
9x
Failed in both subjects
⇒x−
10
9x
⇒
10
x
∴
10
x
=40
⇒x=400
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