Question

In class 12th, 70% of the students study Accountancy and 40% of the students study Business Studies. If 15% of the total students study both Accountancy and Business Studies, what % of the students do not study either of the two subjects?​

Answer 1

(A ∪ B) = A + B - (A n B), where (A ∪ B) represents the set of students who opted for at least one of the two subjects- Accountancy or Business Studies and (A n B) represents the set of people who opted for both the subjects- Accountancy or Business Studies.

Note:

(A ∪ B) = A + B - (A n B) => (A ∪ B) = 40 + 70 - 15 = 95%

95% of the total students study at least one of the two subjects- Accountancy or Business Studies.

So, the remaining (100 - 95)% = 5% of the total students do not study either of the two subjects.

Answer 2

Answer:

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Step-by-step explanation:

=> (A ∪ B) = A + B - (A n B),

=> where (A ∪ B) represents the set of students who opted for at least one of the two subjects- Accountancy or Business Studies and (A n B) represents the set of people who opted for both the subjects- Accountancy or Business Studies.

=> Note:

=> (A ∪ B) = A + B - (A n B) => (A ∪ B) = 40 + 70 - 15 = 95%

=> 95% of the total students study at least one of the two subjects- Accountancy or Business Studies.

=> So, the remaining (100 - 95)% = 5% of the total students do not study either of the two subjects.

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