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    Question

    A person purchased some identical gadgets┬а(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%?
    A 26%, profit Correct Answer Incorrect Answer
    B 16%, loss Correct Answer Incorrect Answer
    C 36%, profit Correct Answer Incorrect Answer
    D 10%, loss Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Cost price of one-third of gadgets = 6000 / 3 = Rs. 2,000 Selling price of one-third = 0.88 ├Ч 2000 = Rs. 1,760 Total selling price for 20% profit = 6000 ├Ч 1.20 = Rs. 7,200 Selling price of remaining gadgets = 7200 тАУ 1760 = Rs. 5,440 Cost price of remaining = 6000 тАУ 2000 = Rs. 4,000 Required profit percent = (5440 тАУ 4000) / 4000 ├Ч 100 = 1440 / 4000 ├Ч 100 = 36% Hence, Remaining gadgets should be sold at 36% profit .

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