📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    A shopkeeper purchased 35 kg of sugar at Rs. 22 per kg.

    He sold some of it at a profit of 8% and the rest at a profit of 16%. If the total profit he made was Rs. 100, find the quantity of sugar sold at 16% profit.
    A 13.33 kg Correct Answer Incorrect Answer
    B 21.82 kg Correct Answer Incorrect Answer
    C 16.25 kg Correct Answer Incorrect Answer
    D 11.12 kg Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the quantity of sugar sold at 16% profit be ‘x’ kg and the quantity of sugar sold at 8% profit be ‘35 – x’ kg.

    ATQ;

    22 × 0.08 × (35 – x) + 22 × 0.16 × x = 100

    Or, 61.6 - 1.76x + 3.52x = 100

    Or, 1.76x = 38.4

    Or, x = 21.82

    Therefore, the shopkeeper sold 21.82 kg of sugar at 16% profit.

    Practice Next
    More Profit and loss Questions

    Relevant for Exams:

    ask-question