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A man buys two chairs for a total cost of Rs 900. By selling one for `(4)/(5)` th of its cost and the other for `(5)/(4)` th of its cost, he makes a profit of Rs 90 on the whole transaction. The cost of the lower priced chair is.

A

Rs.360

B

Rs.400

C

Rs.420

D

Rs.300

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