Question

In an examination 50% of the students passed in mathematics and 70% of students passed in science and 10% students failed in both subjects. 300 students passed in atleast one subjects. find the total number of students appeared in the examination, if they took examination in only two subjects.

Answer 1

hey there
total students will be 1000
hope it helps .

Answer 2

Solution :-

Given -

50 % students passed in Mathematics.

70 % students passed in Science 

10 % students failed in both subjects and 300 students passed in at least one subjects.

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 % students passed in at least one subjects.

⇒ 30 % of the total students = 300

⇒ (x*30)/100 = 300

⇒ 30x/100 = 300

⇒ 30x = 300*100

⇒ 30x = 30000

⇒ x = 30000/30

⇒ x = 1000

So, total 1000 students appeared in the examination.

Answer.