Question
The selling price of article X is 40% more than its cost
price. The selling price of article Y is Rs. 2,500 less than 1.5 times its cost price. If the cost price of article X is Rs. 4,000 more than the cost price of article Y and the selling price of X is Rs. 2,000 more than the selling price of Y, find the cost price of article Y.Solution
Let the cost price of article Y be y. Cost price of article X = y + 4000. Selling price of X = (y + 4000) × 1.4 = 1.4y + 5600. Selling price of Y = 1.5y - 2500. According to the question: (1.4y + 5600) - (1.5y - 2500) = 2000. 1.4y + 5600 - 1.5y + 2500 = 2000. -0.1y + 8100 = 2000. -0.1y = -6100. y = 61000. Cost price of article Y = Rs. 61,000. Correct answer: d. 61000
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