Question

In a combined test in Maths and Chemistry; 84% candidates passed in Maths; 76% in Chemistry and 8% failed in both. Find :
the percentage of failed candidates ;

Answer 1

Since, candidates passed in Maths = 84%
∵ candidates failed in Maths
= 100% - 84%
= 16%
Again, candidates passed in Chemistry = 76%
∴ Candidates failed in Chemistry
= 100% - 76%
= 24%
Candidates failed in both = 8%
∴ Candidates failed in only Maths
 = 16% - 8%
= 8%
Candidates failed in only Chemistry
 = 24% - 8%
= 16%
Total failed candidates
= 8% + 16% + 8%
= 32%
Percentage of failed candidates = 32%