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    Question

    A trader purchased 60 kg of wheat at Rs. 18 per kg. He sold

    some of it at a profit of 12% and the remaining at a profit of 18%. If his total profit was Rs. 144, find the quantity of wheat sold at 18% profit.
    A 13.33 kg Correct Answer Incorrect Answer
    B 8.50 kg Correct Answer Incorrect Answer
    C 6.25 kg Correct Answer Incorrect Answer
    D 11.12 kg Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of wheat sold at 18% profit be тАШxтАЩ kg and the quantity of wheat sold at 12% profit be тАШ60 тАУ xтАЩ kg.

    ATQ;

    18 ├Ч 0.12 ├Ч (60 тАУ x) + 18 ├Ч 0.18 ├Ч x = 144

    Or, 129.6 - 2.16x + 3.24x = 144

    Or, 1.08x = 14.4

    Or, x = 13.33

    Therefore, the trader sold 13.33 kg of wheat at 18% profit.

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