In an examination, 80% of candidates passed in English and 85% candidates passed in Mathematics. If 73% of candidates passed in both these subjects, then what percent of candidates failed in both the subjects?

A. 8%
B. 15%
C. 27%
D. 35%

Answer & Solution

Answer: The correct answer is 8%.

Solution:

The number of candidates who failed in both subjects = Total number of candidates – The number of candidates who passed in both subjects

Candidates passed in English = 80%

Candidates passed in Mathematics = 85%
Candidates passed in both subjects = 73%
Total number of candidates passed = (80+85 -73)

= 92%. 

Now,

Candidates failed in both subjects = 100% – 92% = 8%.

Hence, the percentage of candidates who failed in both subjects is 8%.
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