A man buys a table and a chair for Rs. 500. H | vedclass

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(C) Let the cost price of the table be $T$ and the cost price of the chair be $C$.Given that the total cost price is $T + C = 500$ ... $(I)$.The table

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$300$

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(C) Let the cost price of the table be $T$ and the cost price of the chair be $C$.Given that the total cost price is $T + C = 500$ ... $(I)$.The table is sold at a loss of $10\%$ and the chair at a gain of $10\%$,resulting in a total gain of $Rs. 10$.This can be expressed as: $0.10C - 0.10T = 10$.Dividing the entire equation by $0.10$,we get $C - T = 100$ ... $(II)$.Adding equation $(I)$ and $(II)$:$(T + C) + (C - T) = 500 + 100$$2C = 600$$C = 300$.Thus,the cost price of the chair is $Rs. 300$.

$A$ man buys a table and a chair for $Rs. 500$. He sells the table at a loss of $10\%$ and the chair at a gain of $10\%$. He still gains $Rs. 10$ on the whole. The cost price of the chair in rupees is

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