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    Question

    A shopkeeper purchased 40 kg of rice at Rs. 25 per kg. He

    sold some of it at a profit of 25% and the remaining at a profit of 35%. If the total profit he earned was Rs. 220, find the quantity of rice sold at 35% profit.
    A 12 kg Correct Answer Incorrect Answer
    B 18 kg Correct Answer Incorrect Answer
    C 20 kg Correct Answer Incorrect Answer
    D 25 kg Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of rice sold at 35% profit be ‘x’ kg and the quantity of rice sold at 25% profit be ‘40 – x’ kg.

    ATQ;

    25 × 0.25 × (40 – x) + 25 × 0.35 × x = 220

    Or, 250 – 6.25x + 8.75x = 220

    Or, 2.5x = 30

    Or, x = 12

    Therefore, the shopkeeper sold 12 kg of rice at 35% profit.

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