Question

In an examination 40% of the students failed in Mathematics, 30% in English and15% in both. Find the percentage of pass in both

• A. 65%
• B. 50%
• C. 45%
• D. 30%

Answer 1

Answer:

C. 45%

The percentage of students who passed in both subjects is 45%.

• Failed only in Mathematics: 40% (Total Math failures) - 15% (Failed in both) = 25%

• Failed only in English: 30% (Total English failures) - 15% (Failed in both) = 15%

• Failed in both subjects: 15%

Total percentage of students who failed in at least one subject:

$25\%+15\%+15\%=55\%$

Percentage of students who passed in both subjects:

$100\%-55\%=45\%$