In Examination, 50% passed in Maths and 75% passed in English and 20% passed in both subjects . Find the difference between the number of students who passed only in English to those who passed in Maths. If 270 students passed in both the subjects.
Answers
Given : In Examination, 50% passed in Maths and 75% passed in English and 20% pa ssed in both subjects .
270 students pa ssed in both the subjects.
To Find : the difference between the number of students who pa ssed only in English to those who pa ssed in Maths.
Solution:
Pa ssed in Maths n(M) = 50%
Pa ssed in English n(E) = 75%
Pa ssed in Both n(M ∩ E) = 20%
pa ssed only in English = n(E) - n(M ∩ E)
= 75% - 20
= 55 %
Pa ssed in Maths = 50%
Difference = 55 % - 50% = 5 %
270 students pa ssed in both the subjects.
20% students pa ssed in both the subjects.
=> 20% = 270
=> 1 % = 270/20
=> 5% = 5 * 270/20 = 67.5
Students can not be in decimal ( Mistake in Data)
Note : ( Given data of Question is not Correct ,
as pa ss in either subject = 50 % + 75 % - 20 % = 105 % which is not possible as it can not be more than 100 %
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