Question
A person purchased some identical gadgets (having equal
price) for Rs. 6,000. He sold one-third of them at a 12% loss. At what profit percentage should he sell the rest to gain an overall profit of 20%?Solution
ATQ,
Cost price of one-third of gadgets = 6000 / 3 = Rs. 2,000 Selling price of one-third = 0.88 × 2000 = Rs. 1,760 Total selling price for 20% profit = 6000 × 1.20 = Rs. 7,200 Selling price of remaining gadgets = 7200 – 1760 = Rs. 5,440 Cost price of remaining = 6000 – 2000 = Rs. 4,000 Required profit percent = (5440 – 4000) / 4000 × 100 = 1440 / 4000 × 100 = 36% Hence, Remaining gadgets should be sold at 36% profit .
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