Question
A trader bought 1200 items at ₹50 each. He sold half
of them at a profit of 20%, and the remaining half at a profit of 25%. Find the overall profit percentage.Solution
Cost price for 1200 items = 1200 × 50 = ₹60,000. Selling price for first half (600 items) = 600 × 50 × 1.20 = ₹36,000. Selling price for second half (600 items) = 600 × 50 × 1.25 = ₹37,500. Total selling price = ₹36,000 + ₹37,500 = ₹73,500. Profit = ₹73,500 - ₹60,000 = ₹13,500. Profit percentage = (13,500 / 60,000) × 100 = 22.5%. Correct answer: a) 22.5%.
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