In a class, 40 students passed in Mathematics, 50% of the students passed in English, 5% of the students failed in Mathematics and English, and 25% of the students passed in both the subjects. What is the ratio of the number of students who passed in English to that in Mathematics?
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Answer:
20 students passed English
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Answer:
Find out the Ratio
Explanation:
We know that 40 students have passed in Mathematics.
50% students passed in English
5% students failed in Maths and English
25% students passed in both the subjects.
Let A and B be the sets of students who passed in English and Mathematics respectively, i.e., n(A)=30 and n(B)=25.
Also according to question,every student has passed at least in one subject.
Thus, total no. of students =n(A∪B)=40
No. of student who passed in both English and Mathematics =n(A∩B)=15
So, no. of students who passed in English only but not in Maths = n(A−B)=n(A)−n(A∩B)=30−15=15
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