A man purchases two clocks A and B at a total cost of . He sells A at profit and B at a loss of and gets the same selling price for both the clocks. What are the purchasing prices of A and B respectively?
Let the cost price of clock A be and that of clock B be .
From the given information, we can write
of of
Therefore,
Hence, the cost of clock A
So, the cost of clock B
Hence, the purchasing price of clock A is and clock B is .