Question

in an exam , 80% student passed in hindi and 85% in english while 75% passed in both . if 40 students failed in both subjects, how many students have appeared for the exam?

A) 150
B) 200
C) 250
D) 400

Answer 1

Passed students in Hindi=80%

Passed students in English=85%

Passed students in both=75%

Total students passed in exam= 80%+85%-75%=90%

It means, students failed in exam=100%-90%=10%

And 10%=40.

Thus, 100%=400.

Therefore, students appeared for exam=400

Answer 2

Answer:

400 students appeared in the exam.

Step-by-step explanation:

Students Passed in Hindi = 80%

Students passed in English = 85%

Students passed in both = 75%

Students passed in exam = 80% +85% - 75% = 90%

So, Students failed in both exams = 100% - 90% = 10%

We are given that  40 students failed in both subjects

Let total students be x

So, $10\% \times x = 40$

$\frac{10}{100} \times x =40$

$\frac{1}{10} \times x =40$

$x=400$

Hence 400 students appeared in the exam.