Question

In an examination, 50% of the students passed in Science and 75% passed in Maths, while 20% students failed in both the subjects. If 270 students passed in both subjects, find the total number of students who appeared in the exam?

• A. 4000
• B. 5400
• C. 6000
• D. 7500
• E. None of these

Answer 1

The correct option is C 6000

a + c = 50% b + c = 75% and a + b + c = 80%
$\Rightarrow$ a = 5% c = 45% and b = 30%
Now, 45% of number of studetns who appeared for exam $=\frac{45}{100}$ $\times$ S = 2700
$\Rightarrow$ Number of students, S = 2700 $\times$ $\frac{100}{45}=6000$