A shopkeeper sold an item for ₹ 1,510 after giving a discount

A shopkeeper sold an item for ₹ 1,510 after giving a discount of 24 1 %
2

and thereby incurred loss of 10%. Had he sold the item without discount, his net profit would have been

Given that , SP of item = ₹ 1,510
Marked price of the article = ₹ y

Discount = 24	1	% =	49	%
	2		2

∴		100 −	49		% of y = 1510
			2

⇒ y ×		200 − 49		= 1510
		200

⇒ y ×	151	= 1510
	200

⇒ y =	1510 × 200	= ₹ 2000
	151

∴ C.P. of article =	1510 × 100	= ₹	15100
	90		9

∴ Gain = 2000 −	15100
	9

Gain =	18000 − 15100	=	2900
	9		9

Gain = ₹ 322	2
	9

₹ 422	2
	9