A man buys a table and a chair for Rs. 500. He sells the

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A man buys a table and a chair for Rs. 500. He sells the table at a loss of 10% and the chair at a gain of 10%. He still gains Rs.10 on the whole. The cost price of chair in rupees is :

Here , C.P. of a table and a chair = Rs. 500
Let the C.P. of chair be Rs. y.
∴ C.P. of table = Rs. (500 – y)
According to the question,

		110y	+ (500 - y) ×	90	= 510
		100		100

⇒		11y	+ 500 ×	9	-	9y	= 510
		10		10		10

⇒	2y	+ 450 = 510
	10

⇒ y =	60 × 10	= Rs. 300
	2

Second method to solve this question :

10% of y – (500 – y) ×	10	= 10
	100

⇒		y	- 50 +	y	= 10
		10		10

⇒	2y	= 50 + 10 = 60
	10

⇒ 2y = 60 × 10

⇒ y =	60 × 10	= Rs. 300
	2