Question

A man buys two umbrella for $650. He sells one at a 20% profit and the other at 25% loss. He gets the same selling price for both . Find the cost price of each​

Answer 1

The cost price of clocks A and B are say x and (650-x), respectively.

On clock A he makes a profit of 20%. So he sold A at 1.2x.

On clock B he suffers a loss of 20%. So he sold B at 0.8(650-x).

But the SP of A and B are the same.

Or 1.2x = 0.8(650-x) = 520-0.8x, or

2x = 520, or

x = 260.

So he bought clock A at Rs.260 and clock B at (650–260) or Rs.390.

Answer 2

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