A trader sold a cycle at a loss of 10%. If the selling price

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A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

Let the C.P. of cycle be Rs. y.
Case I,
For loss of 10% ,

S.P. of cycle = Rs.		90y
		100

S.P. of cycle = Rs.	9y
	10

Case II,
From question ,

106% of y =	9y	+ 200
	10

⇒		106y	-	9y	= 200
		100		10

⇒	106y - 90y	= 200
	100

⇒	16y	= 200
	100

⇒ y =	200 × 100	= Rs. 1250
	16