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    Question

    A merchant has 1000 kg of sugar, part of which he sells

    at a 10% profit and the rest at a 40% profit. He gains 20% on the whole. The quantity sold at 40% profit is: 
    A 543(1/3) Kg Correct Answer Incorrect Answer
    B 383(1/3) Kg Correct Answer Incorrect Answer
    C 333(1/3) Kg Correct Answer Incorrect Answer
    D 443(1/3) Kg Correct Answer Incorrect Answer

    Solution

    Let the quantity sold at 10% profit be x kg. Then the quantity sold at 40% profit is (1000 - x) kg. Given that overall profit is 20% = {10x + 40(1000 - x)}/1000 = 20 -30x = -20000 x = 20000/30 = 666.67 So, sugar sold at 40% profit = 1000 - 666.67 = 333.33 kg.

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