A man purchased 150 pens at the rate of $ 12 per pen. He

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A man purchased 150 pens at the rate of $ 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

Given that , S.P. of each pen = $ 12

Required S.P. of 150 pens. = 150 × 12 ×	115	= $ 2070
	100

S.P. of first 50 pens =	50 × 12 × 100	= $ 660
	100

∴ Required S.P. of 100 pens = 2070 – 660 = $ 1410
C.P. of 100 pens = $ 1200
Gain = 1410 - 1200 = $ 210

∴ Gain percent =	210	× 100
	1200

Gain percent =		35	= 17	1	%
		2		2