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    Question

    A shopkeeper bought 50 shirts at ₹400 each. He marked

    each shirt 40% above cost price. During a sale, he offered a discount of 20% on the marked price and sold 80% of the shirts. The remaining shirts were sold later at a discount of 10% on the marked price. What was his overall profit percentage on the whole lot?
    A 25.8% Correct Answer Incorrect Answer
    B 14.8% Correct Answer Incorrect Answer
    C 38.2% Correct Answer Incorrect Answer
    D 33.3% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Total cost price = 50 × 400 = ₹20,000 Marked Price per shirt = 400 × 1.4 = ₹560 First sale: 40 shirts at 20% discount → SP₁ = 560 × 0.8 = 448 Revenue₁ = 40 × 448 = 17,920 Remaining: 10 shirts at 10% discount → SP₂ = 560 × 0.9 = 504 Revenue₂ = 10 × 504 = 5,040 Total revenue = 17,920 + 5,040 = ₹22,960 Profit = 22,960 – 20,000 = 2,960 Profit% = (2960 / 20000) × 100 = 14.8%.

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