Question

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.

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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 = $25\%-5\%=20\%.$

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

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

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:

$100\%-40\%=60\%.$

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

Answer 2

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