What is the difference in the cost prices of two gadgets?

Question

Pulkit purchases 2 gadgets for Rs. 1120.
He sells one at 15% profit and the other at 10% loss.
He neither gain nor loses.
What is the difference in the cost prices of two gadgets?

Answer 1

Rs. 448 & Rs. 672

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x & y - cost
x+y=1120
x+15%=1.15x ---> (1)
y-10%=0.9y=0.9*(1120-x)=1008-0.9x ---> (2)
(1) + (2) selling prices = 1120 as no gain or loss
1.15x +1008-0.9x=1120 --> 0.25x=112 --> x=448, y=672