Question

in a certain school of 400 students ,the students can study hindi, english both or neither . one quarter of those study english also study hindi in 20 fewer than those who study english only. How many students study hindi only?

Answer 1

Answer:

Thus 120 student study Hindi only

Step-by-step explanation:

Please make correction in question as following:

In  a certain school of 400 students, the students can study Hindi,English both or neither.One quarter of those who study English also study Hindi. The total number who study Hindi is 20 fewer than those who study English only. How many students study Hindi only?

Solution:

Let No of student who study English are= e

The number of students who study only Hindi = h  

The number of students who study both  = b

Thus,

The number of students who study English = e + b

The number of students who study Hindi = h + b

e+h+b=400----------------------------(1)

Now given that

1/4 of those who study English = who study Hindi and English both

So (e+b)/4=b

e+b=4b

e=3b

From(1)

3b+h+b=400

4b+h=400---------------------------(2)

Now

The total number of who study Hindi = 20 less than those who study English only

So h+b=e-20

h+b=3b-20

2b-h=20------------------------(3)

adding(2) and (3)

6b=420

b=70

From(2)

4*70+h=400

h=400-280=120

Thus 120 student study Hindi only