Question

18. In an examination 25% candidates failed in Mathematics and 20% students failed in
English. If 5% students failed in both the subjects, find the percentage of students
who passed in both the subjects.​

Answer 1

The percentage of students who passed in both the subjects is 60%.

Step-by-step explanation:

Given:

In an examination 25% candidates failed in Mathematics and 20% students failed in English. If 5% students failed in both the subjects.

Now, to find the percentage of students who passed in both the subjects.

So, let 100% be total percentage of students.

As, given 25% candidates failed in Mathematics and 20% students failed in English.

And 5% students failed in both the subjects.

Now, total percentage of candidates failed in Mathematics only = 25%-5%=20%.25%−5%=20%.

So, total number percentage of candidates failed in English only = 20%-5%=15%.20%−5%=15%.

Thus, total percentage of students failed = 20%+15%+5%=40%.20%+15%+5%=40%.

Now, to get the total percentage of students who passed in both the subjects we subtract total percentage of students failed from total percentage of students:

100%-40%=60%.100%−40%=60%.

Therefore, the percentage of students who passed in both the subjects is 60%.