Shelf A has4of the number of5books that shelf B has. If

Shelf A has 4 of the number of
5

books that shelf B has. If 25% of the books in A are transferred to B and then 25% of the books from B are transferred to A, then the percentage of the total number of books that A will have is

Let the number of books in shelf B be 100.
∴ Number of books in shelf A = 80
On transferring 25% i.e.

	1	of books of shelf A to shelf B.
	4

B = 100 + 20 = 120
Again, on transferring

	1	of books of shelf B to shelf A.
	4

A = 60 +	120	= 90
	4

∴ Required percentage

=	90	× 100 = 50%
	180