A man bought some eggs of which 10% are rotten. He gives

A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now he is left out with 36 eggs. How many eggs he bought ?

Let the total number of eggs bought be x.
10% of eggs are rotten.
∴ Remaining eggs

=	90x	=	9x
	100		10

After giving 80% of eggs to the neighbour,

Remaining eggs =	9x × 20	=	9x
	10 × 100		50

According to the question

	9x	= 36 ⇒ 9x = 36 × 50
	50

⇒ x =	36 × 5	= 200
	9