Question

In a tution center, 70% of the students have studied Mathematics and 30% have studied English. If all the students who study English also study Mathematics and 150 haven't studied both subjects, find the number of students who study Mathematics but not English.

Answer 1

Answer:

200 students

Step-by-step explanation:

Let the total number of students be x

Given that number of students studying mathematics is 70%

&

Students studying both English and mathematics is 30%

But, there are only 70% maths students so, students studying only mathematics = 70% - 30% = 40%

Now, we know that total percentage is always 100%

So,

=>> Mathematics + English + neither maths or eng = 100%

=>> 40% + 30% + neighbor maths or eng = 100%

=>> neither maths or eng = 100% - 70% = 30%

According to the question,

Neither maths or eng = 150 students

=>> 30% of x = 150

=> 30/100 × X = 150

=> x = 150 × 100/30 = 500

So total number of students = 500 students

Now, number of students who study only mathematics not English is 40%

So,

40% of 500 = 40/100 × 500 = 200 students (ans)

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