An article is sold at a loss of 10%. Had it been sold for

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An article is sold at a loss of 10%. Had it been sold for $ 9 more, there would have been a gain of (25 / 2) % on it. The cost price of the article is :

1. $ 40
2. $ 45
3. $ 50
4. $ 35

Correct Option: A

Let the cost price of the article = $ x

S.P. at 10% loss = x ×		90	=	9x
		100		10

at 12	1	% gain ,
	2

S.P.

According to the question ,

		9x	+ 9 =	225x
		10		200

⇒ 180x + 1800 = 225x
⇒ 225x – 180x = 1800
⇒ 45x = 1800
⇒ x = $ 40
We can find required answer with the help of given formula :
Here, a = 10%, R = 9, b = 12.5%

C.P. =	R × 100
	a + b

C.P. =	12 × 100
	12.5 + 10

C.P. =	900	= $ 40
	22.5