Out of total students 100 3 are in hostel A and remaining are in hostel B If 20 students from hostel...........

Quant (SSC) Percentage

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?

26.34%

16.67%

12.75%

20.67%

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Explanation:

Let total students = N
students in hostel A = 33 1/3% of N = N/3
students in hostel B = N – 100N/3 = 2N/3
According to question-
⇒ N/3 + 20 = N/2
⇒ 20 = N/6
⇒ N = 120
Now, if 20 students from hostel A are shifted to hostel B-
⇒ N/3 - 20 /N x 100 = 20/120 x 100 = 16.67%