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(C) Total $C.P.$ of $500 	ext{ m}$ wire $= 500 	imes 0.50 = ₹ 250$.He sold $50 \%$ of the wire,which is $250 	ext{ m}$. The $C.P.$ of this $250 	e

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(C) Total $C.P.$ of $500 	ext{ m}$ wire $= 500 	imes 0.50 = ₹ 250$.He sold $50 \%$ of the wire,which is $250 	ext{ m}$. The $C.P.$ of this $250 	ext{ m}$ is $250 	imes 0.50 = ₹ 125$.Profit on this $50 \%$ is $5 \%$,so $S.P.$ $= 125 	imes 1.05 = ₹ 131.25$.To gain $10 \%$ on the whole transaction,the total $S.P.$ must be $110 \% 	ext{ of } 250 = ₹ 275$.$S.P.$ required for the remaining $250 	ext{ m}$ wire $= 275 - 131.25 = ₹ 143.75$.Profit on the remaining wire $= 143.75 - 125 = ₹ 18.75$.Required profit percentage $= (18.75 / 125) 	imes 100 = 15 \%$.

$A$ man bought $500$ metres of electronic wire at $50$ paise per metre. He sold $50 \%$ of it at a profit of $5 \%$. At what percent should he sell the remainder so as to gain $10 \%$ on the whole transaction?

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