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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 ;
Solution
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%
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