A man sells an article at 10% loss. If he had sold it at

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A man sells an article at 10% loss. If he had sold it at $ 10 more, he would have gained 10%. The cost price of the article is

Let the C.P be $ y.

First selling price = 90% of y = $	9y
	10

Second selling price =			9y	+ 10
			10

∴ 110% of y =			9y	+ 10
			10

⇒		11y	=	9y	+ 10 ⇒	2y	= 10
		10		10		10

⇒ y =	10 × 10	= 50 = $ 50
	2

We can find required answer with the help of given formula :
Here, a = 10%, R= 10, b = 10%

C.P. =	R × 100
	b + a

C.P. =	10 × 100	= $ 50
	10 + 10