# 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%

= 78%

Hence, the number of students** passed** in both subjects is** 78%.**