In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?

general knowledge math & puzzles

  1. 0 %

  2. 5 %

  3. 15 %

  4. 25 %

Show answer
Correct Option: A

AI Explanation

To solve this problem, we can use the principle of inclusion-exclusion.

Let's assume that there are a total of 100 students in the class.

Given that 40% of the students enrolled for Math, this means that 40 students enrolled for Math. Similarly, 70% of the students enrolled for Economics, which means that 70 students enrolled for Economics.

Now, let's consider the students who enrolled for both Math and Economics. We are given that 15% of the students enrolled for both subjects, which means that 15 students enrolled for both Math and Economics.

To find the percentage of students who did not enroll for either of the two subjects, we need to subtract the total number of students who enrolled for Math, Economics, and both subjects from the total number of students in the class.

Total number of students who enrolled for either Math or Economics = Number of students enrolled for Math + Number of students enrolled for Economics - Number of students enrolled for both Math and Economics

= 40 + 70 - 15 = 95

Percentage of students who did not enroll for either subject = (Number of students who did not enroll for either subject / Total number of students in the class) * 100

= (100 - 95) / 100 * 100 = 5%

Therefore, the correct answer is option B) 5%.

Find more quizzes: