In an examination 50 of the students passed in mathematics

Asked by admin @ 03/08/2021 in Math viewed by 303 People

In an examination 50% of the students passed in Maths and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in at least one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects

Answered by admin @ 03/08/2021

Solution :-

Given -

50 % students passed in Mathematics

70 % students passed in Science

10 % of the total students failed in both subjects and 300 students passed in at least one subject.

Let x be the total number of students.

Total students = 100 %

Passed students = 100 - 10 (failed in both subjects)

= 90

Total passed students in at least one subject = (50 + 70) - 90

120 - 90

= 30 %

So, 30 % of the total students passed in at least in one subject.

⇒ (x*30)/100 = 300

⇒ 30x/100 = 300

⇒ 30x = 300*100

⇒ x = 30000/30

⇒ x = 1000

So, total 1000 students appeared in the examination.

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