In a test 60 % students passes in Maths and 65 % in History , 40% passed in…
2025
In a test 60 % students passes in Maths and 65 % in History , 40% passed in both these subjects . If 90 students failed in Maths and History both , then what is the total number of students ?
- A.
700
- B.
650
- C.
600
- D.
750
Attempted by 70 students.
Show answer & explanation
Correct answer: C
Answer: 600
Let the total number of students be x.
Number who passed in at least one subject = 60% of x + 65% of x − 40% of x = 0.6x + 0.65x − 0.4x = 0.85x.
Therefore the percentage who failed both subjects = 100% − 85% = 15% = 0.15x.
Given number who failed both = 90, so 0.15x = 90 → x = 90 / 0.15 = 600.
Hence the total number of students is 600.