Sandeep sells an article at a loss of 10%. Had he bought

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Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold it for Rs. 55 more, he could have gained 40%. What is the cost price of the article?

Case I :
Suppose C.P. of article = Rs. y
At 10% loss ,

First S.P. = Rs.	9y
	10

Case II :
At 20% less ,

C.P. =		80y	= Rs.	4y
		100		5

According to the question,

		4y	×	140	-	9x	= 55
		5		100		10

⇒		56x	-	9y	= 55
		50		10

⇒	56y - 45y	= 55
	50

⇒ 11y = 50 × 55

⇒ y =	50 × 55	= Rs. 250
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