A shopkeeper lists the price of an article as ₹ 500. But

A shopkeeper lists the price of an article as ₹ 500. But he gives a certain discount which allows the buyer to pay ₹ 500 for the article including 10% sales tax. The rate of discount is

Let the S.P. be x (without tax).

∴ x + x ×	10	= 500
	100

⇒	11x	= 500 ⇒ x = ₹	5000
	10		11

∴ Discount = 500 −	5000
	11

=	500
	11

Discount per cent =	500	× 100
	11 × 500

=	100	% or 9	1	%
	11		11