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$(C)$ Let the Cost Price $(CP)$ of the first article be $CP_1$ and the second be $CP_2$.Given that the Selling Price $(SP)$ of each article is $Rs. 4,

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$16 \frac{2}{3}$

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$(C)$ Let the Cost Price $(CP)$ of the first article be $CP_1$ and the second be $CP_2$.Given that the Selling Price $(SP)$ of each article is $Rs. 4,000$.Total $SP = 4,000 + 4,000 = Rs. 8,000$.Since there is no loss and no gain, Total $CP = Total SP = Rs. 8,000$.For the first article, $SP_1 = 4,000$ and Gain $= 25\%$.$CP_1 = \frac{SP_1 	imes 100}{100 + 	ext{Gain}\%} = \frac{4,000 	imes 100}{125} = 3,200$.Since $CP_1 + CP_2 = 8,000$, then $CP_2 = 8,000 - 3,200 = 4,800$.For the second article, $CP_2 = 4,800$ and $SP_2 = 4,000$.Loss $= CP_2 - SP_2 = 4,800 - 4,000 = 800$.Loss $\% = \frac{	ext{Loss}}{CP_2} 	imes 100 = \frac{800}{4,800} 	imes 100 = \frac{1}{6} 	imes 100 = 16 \frac{2}{3}\%$.

$X$ sells two articles for $Rs. 4,000$ each with no loss and no gain in the transaction. If one was sold at a gain of $25\%$, the other is sold at a loss of ........$\%$.

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