In an examination, 80% of the students passed in English, 85% in Methematics and 75% in both English and Mathematics.if 430 student appeared at the examination,how many failed in both subjects?
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Passed in English = 80%
Failed in English(E) = 100 - 80 = 20%
Passed in Mathematics(M) = 85%
Failed in Mathematics(M) = 100 - 85 = 15%
passed in both = 75%
failed in atleast one subject(M U E) = 100 - 75 = 25%
Failed in both (MΠE) =(E + M) - (M U E) = 20 + 15 - 25 = 10%
So total failed =10%
total appeared = 430 students
total failed = 10% of 430 = 430×10/100 = 43 students
Failed in English(E) = 100 - 80 = 20%
Passed in Mathematics(M) = 85%
Failed in Mathematics(M) = 100 - 85 = 15%
passed in both = 75%
failed in atleast one subject(M U E) = 100 - 75 = 25%
Failed in both (MΠE) =(E + M) - (M U E) = 20 + 15 - 25 = 10%
So total failed =10%
total appeared = 430 students
total failed = 10% of 430 = 430×10/100 = 43 students
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