Ramesh bought 2 boxes for Rs. 1300. He sold one box at a profit of 20% and the other at a loss of 12%. If the selling price of both the boxes is the same. Find the cost of each box

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

∴ SP of 1st box = y + 20/100y

SP of 1st box = 100y + 20y/100 = 120y/100

Loss on 2nd box = 12%

∴ SP of 2nd box = CP – Loss

SP of 2nd box = (1300 – y) (1-12/100)

SP of 2nd box = 1144 – 88y/100

But SP of both boxes is same 120y/100+88y/100 = 1144

208y/100 = 1144

y = 1144*100/208 = 550

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