An Ox and a carriage together cost Rs. 8000. | vedclass

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(D) Let the cost price $(CP)$ of the ox be $Rs. x$.Then,the $CP$ of the carriage is $Rs. (8000 - x)$.The selling price $(SP)$ of the ox after a $10\%$

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$5000$

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(D) Let the cost price $(CP)$ of the ox be $Rs. x$.Then,the $CP$ of the carriage is $Rs. (8000 - x)$.The selling price $(SP)$ of the ox after a $10\%$ profit is $x + 0.10x = 1.1x$.The $SP$ of the carriage after a $10\%$ loss is $(8000 - x) - 0.10(8000 - x) = 0.9(8000 - x)$.The total cost price is $Rs. 8000$. The total profit is $2.5\%$,so the total selling price is $8000 	imes (1 + 0.025) = 8000 	imes 1.025 = Rs. 8200$.Equating the sum of individual selling prices to the total selling price:$1.1x + 0.9(8000 - x) = 8200$$1.1x + 7200 - 0.9x = 8200$$0.2x = 8200 - 7200$$0.2x = 1000$$x = 1000 / 0.2 = 5000$.Therefore,the cost price of the ox is $Rs. 5000$.

An $Ox$ and a carriage together cost $Rs. 8000$. The ox is sold at a profit of $10\%$ and the carriage is sold at a loss of $10\%$. If the total profit made is $2.5\%$,then what is the cost price of the ox? (in $Rs.$)

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