A man purchases two clocks A and B at a total cost of Rs 650. He sells A at 20% profit and B at a loss of 25% 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 $x$, so the cost price of clock B is (650 minus $x$). The selling price of A is 1.20$x$ and the selling price of B is 0.75(650 minus $x$). Setting the selling prices equal gives 1.20$x$ = 0.75(650 minus $x$), which simplifies to 1.95$x$ = 487.5. Solving for $x$ gives Rs. 250, meaning the cost price of clock A is Rs. 250 and the cost price of clock B is Rs. 400.

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