Ramesh bought two boxes for $ 1300. He sold one box at a

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Ramesh bought two boxes for $ 1300. He sold one box at a profit of 20% and the other box at a loss of 12%. If the selling price of both boxes is the same, find the cost price of each box.

Given in question , Total price of two boxes = 1300
Let CP of one box = y
Then CP of other box = (1300 – y)
Profit on 1st box = 20%

∴ SP of 1st box = y +	20	y
	100

SP of 1st box =		100y + 20y	= Rs.	120y
		100		100

Loss on 2nd box = 12%
∴ SP of 2nd box = CP – Loss

SP of 2nd box = (1300 – y) –	12	(1300 – y)
	100

SP of 2nd box = (1300 - y)		1 -	12
			100

SP of 2nd box = (1300 – y) ×	88
	100

SP of 2nd box = 1144 -	88y
	100

But SP of both boxes is same

⇒		120y	= 1144 -	88y
		100		100

⇒		120y	+	88y	= 1144
		100		100

⇒	208y	= 1144
	100

⇒ y =	1144 × 100	= 550
	208

∴ Cost price of 1st box = $ 550
and cost price of another box = $ 1300 – $ 550 = $ 750