How Many Student Fails in Both Subject? If
In an examination, 19% students fail in Mathematics and 10% students fail in English . If 7% of all students fail in both subjects, then the number of students passed in both subjects is
- 36% of all students
- 64% of all students
- 71% of all students
- 78% of all students
Answer : (4) 78% of all students
The total percentage of students appeared in Examination = 100%
The percentage of students fail in Mathematics = 19%,
Percentage of students fail in English = 10%,
and percentage of students fail in both subjects = 7%.
Now, we have to find number of students passed in both subjects;
Total percentage of fail students in examination = 12% fail in only mathematics + 3% fail in English only + 7% fail in both subjects
= 22% students are failed in examination.
Percentage of students passed in the examination = total percent of students appeared in exam – total percent of students failed in examination
= 100% – 22%
Hence, the number of students passed in both subjects is 78%.