A shopkeeper has goods of worth 6000. He sold half of the goods at a gain of l2%. At what profit percent should he sell the remaining half of the stock so that he gets 18% profit on the whole ?
total cost price of goods = Rs 6000
Cost price of half goods = Rs 3000
Selling prices of half goods = 1.12 × 3000 = Rs 3360
Total profit assumed is 18 % which means total selling price should be = 1.18 × 6000 =Rs 7080
Selling price if remaining half items = 7080 - 3360 = Rs 3720
Profit percent for another half = $$\frac{3720-3000}{3000}\times100$$
= 24 %
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