Question
A dealer buys two articles X and Y for ₹9,500 each. He
marks each of them at the same. price. He sells X by giving two successive discounts of 32% and 25% and still earns 266 as profit. If he sells Y at a single discount of 49%, then what is the profit percentage on Y?Solution
Let the marked price of each article be ₹M. Cost price of each article = ₹9,500 For article X: Successive discounts = 32% and 25% Hence, selling price of X = M × (68/100) × (75/100)
= M × 51/100 Given profit on X = ₹266 So, selling price of X = 9500 + 266 = ₹9766 Therefore, M × 51/100 = 9766 M = 9766 × 100 / 51
= ₹19149.02 approximately Now for article Y: Single discount = 49% So, selling price of Y = M × 51/100
= ₹9766 Thus, profit on Y = 9766 − 9500
= ₹266 Profit % = (266 / 9500) × 100 = 2.8%
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