Question

In a survey of a group of students it was found that 35% of the students liked maths, 30% liked account and 3000 students liked both them and 50% liked none of them find the total number of students in the survey.​

Answer 1

Answer:

We know by Set Theory

n(A or B)=n(A)+n(B)-n(A and B)

Let A indicates Mathematics and B indicates Science ,So

n(A)=30,n(B)=25, n(A and B)=15

So by Above Result

n(A or B)=30+25–15=40

So Students Who like Either of two Subjects are 40

Answer 2

Let, the number of total students = x

Given that :

The students liked none of them = 50%

So, the students like the subjects = 100 - 50 = 50%

Students who liked only maths = 35%

and liked only account = 30%

So, the students liked both the subjects = (35+30 - 50) = 15%

Now, ATQ :

x × 15% = 3000

=> x = (3000×100) / 15 = 20,000

So, total students will be 20,000 ✔✔

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Hope it helps ☺

Fóllòw Më ❤