A man purchased 150 pens at the rate of Rs. 1 | vedclass

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(D) Total cost price $(C.P.)$ of $150$ pens $= 150 	imes 12 = ₹ 1800$.Required total gain $= 15 \%$.Required total selling price $(S.P.)$ $= 1800 	i

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$17 \frac{1}{2}$

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(D) Total cost price $(C.P.)$ of $150$ pens $= 150 	imes 12 = ₹ 1800$.Required total gain $= 15 \%$.Required total selling price $(S.P.)$ $= 1800 	imes \frac{115}{100} = ₹ 2070$.$S.P.$ of the first $50$ pens at $10 \%$ gain $= 50 	imes 12 	imes \frac{110}{100} = ₹ 660$.Remaining pens $= 150 - 50 = 100$.$C.P.$ of remaining $100$ pens $= 100 	imes 12 = ₹ 1200$.Let the required gain percentage on the remaining pens be $x \%$.$S.P.$ of remaining $100$ pens $= 1200 	imes \frac{(100 + x)}{100} = 12(100 + x) = 1200 + 12x$.Total $S.P. = 660 + 1200 + 12x = 2070$.$1860 + 12x = 2070$.$12x = 2070 - 1860 = 210$.$x = \frac{210}{12} = 17.5 = 17 \frac{1}{2} \%$.

$A$ man purchased $150$ pens at the rate of $Rs. 12$ per pen. He sold $50$ pens at a gain of $10 \%$. The percentage gain at which he must sell the remaining pens so as to gain $15 \%$ on the whole outlay is........$\%$

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