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?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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