In an examination , 34% of the students failed in mathematics and 42% failed…
2024
In an examination , 34% of the students failed in mathematics and 42% failed in English . If 20% of the students failed in both the subjects , then find the percentage of students who passes in both the subjects .
- A.
40%
- B.
44%
- C.
42%
- D.
46%
Attempted by 150 students.
Show answer & explanation
Correct answer: B
Given:
Failed in Mathematics = 34%
Failed in English = 42%
Failed in both subjects = 20%
Use the union formula to find the percentage who failed in at least one subject: Failed in at least one = Failed in Mathematics + Failed in English − Failed in both.
Failed in at least one = 34% + 42% − 20% = 56%.
Therefore, the percentage who passed in both subjects = 100% − 56% = 44%.