In an examination 65% students pass in history and 55% students pass in hindi. If 5% students failed in both the subjects, then what is the percentage of students who have passed in both the subjects?
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% students passed in history = 65%
So, % students failed in history might be: 100-65 = 35%
% students passed in Hindi = 55%
So,% students failed in Hindi = 100-55 = 45%
% students failed in both = 5%
% students failed only in history = 35-5 = 30%
% students failed only in Hindi = 45-5 = 40%
So, % students passed in both = 100 - (30+40+5)= 100 - 75 = 25%
Hope it helps.
[you can either use a Venn-diagram concept or set theory..I've followed the Venn diagram concept]
So, % students failed in history might be: 100-65 = 35%
% students passed in Hindi = 55%
So,% students failed in Hindi = 100-55 = 45%
% students failed in both = 5%
% students failed only in history = 35-5 = 30%
% students failed only in Hindi = 45-5 = 40%
So, % students passed in both = 100 - (30+40+5)= 100 - 75 = 25%
Hope it helps.
[you can either use a Venn-diagram concept or set theory..I've followed the Venn diagram concept]
dhritisaha:
thanks a lot
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