In an examination 35%of candidate failed im maths and 25% in English if 10% failed in both mathematics and English then how much percent passed in both..?
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Question :
In an examination 35%of candidate failed in maths and 25% in English if 10% failed in both mathematics and English then how much percent passed in both ?
To Find :
- The percentage passed in Mathematics and English
Solution :
Given that
Let us assume that total candidates are 100 %
✏ 35 % of the total candidates failed in Maths
✏ 25 % of the total failed in English
✏ 10 % students failed in both subjects
Hence,
- Students failed in maths = 35 % - 10 % = 25 %
- Students failed in English = 25 % - 10 % = 15 %
- Students failed in both Maths and English = 10 %
So subtracting these from total we get
Percentage of students who passed in both subjects :
✏ Total students - (Students failed in Maths + English + Both subjects)
Putting their values we get
✏ 100 % - (25 % + 15 % + 10 %)
✏ 100 % - 50 %
✏ 50 %
- Hence, 50 % of the total candidates passed in book subjects
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