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

$\\\text{Let the C.P. of chair sold at loss i.e. }\frac{4}{5} \text{of its cost be Rs. x }\\ \therefore \text{C.P. of second chair }= Rs. (900-x) \\\\ \therefore \frac{900-x}{4}-\frac{x}{5}=90 \\\\$

$\\\Rightarrow \frac{4500-5 x-4 x}{20}=90\\\\ \Rightarrow 4500-9 x=1800\\\\ \Rightarrow \quad 9 x=4500-1800=2700\\\\ \Rightarrow \quad x=\frac{2700}{9}= Rs. 300$

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