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    Question

    A fruit vendor bought 50 kg of mangoes at Rs. 30 per kg. He

    sold some of them at a profit of 10% and the rest at a profit of 20%. If the total profit he made was Rs. 180, find the quantity of mangoes sold at 20% profit.
    A 12 kg Correct Answer Incorrect Answer
    B 18 kg Correct Answer Incorrect Answer
    C 20 kg Correct Answer Incorrect Answer
    D 10 kg Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of mangoes sold at 20% profit be ‘x’ kg and the quantity of mangoes sold at 10% profit be ‘50 – x’ kg.

    ATQ;

    30 × 0.1 × (50 – x) + 30 × 0.2 × x = 180

    Or, 150 – 3x + 6x = 180

    Or, 3x = 30

    Or, x = 10

    Therefore, the vendor sold 10 kg of mangoes at 20% profit.

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