among the candidate appeared in a examination ,80% passed in English, 85% in maths and 75% in both English and math .find the total number of candidates,if 45 candidate were failed in both English and math
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In an examination, 80% of the students passed in English, 85% in Mathematics and 75% in both English and Mathematics. If 40 students failed in both the subjects, find the total number of students.
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Answer
Correct option is
B
400
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
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Correct option is
B
400
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