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Out of total students 100/3 % are in hostel A and remaining are in hostel B. If 20 students from hostel B are shifted to hostel A, then total students in hostel A becomes 50% of total students. If 20 students from hostel A are shifted to hostel B, then the total students in hostel A becomes what per cent of total students?

Out of total students 100/3 % are in hostel A and remaining are in hostel B. If 20 students from hostel B are shifted to hostel A, then total students in hostel A becomes 50% of total students. If 20 students from hostel A are shifted to hostel B, then the total students in hostel A becomes what per cent of total students? Correct Answer 16.67%

Let total students = N
 
students in hostel A = 33  1  % of N =  N
3 3
 
students in hostel B = N –  100N  =  2N
3 3

According to question-
⇒  N  + 20 =  N
3 2
 
⇒ 20 =  N
6

⇒ N = 120

Now, if 20 students from hostel A are shifted to hostel B-
⇒  N  – 20      
3  × 100 =  20  × 100 = 16.67%
  N 120

Hence, option 2 is correct.

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