Profit and loss

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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

21 1/2%

20%

17%

17 1/2%

Explanation:

CP of 150 pens = 150 × 12 = ? 1800
CP of 50 pens = 50 × 12 = ? 600
SP of 50 pens = 110/100 x 600 = 660
SP of 150 pens on 15% profit = 115/100 × 1800 = ? 2070
SP of remaining 100 pens = 2070 – 660 = ? 1410
CP of remaining 100 pens = ? 1200
Now, required gain % = 1410 - 1200 /1200 x 100
= 210/12 = 17 1/2%

By: Amit Kumar

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