Question
A trader purchased two articles for a combined cost of
₹6400. He sold the first article at a profit of 30% and the second article at a loss of 20%. The total selling price of both articles was ₹7100. Determine the cost price of the first article.Solution
Let the cost price of the first article be ₹x. Then, the cost price of the second article = ₹6400 - ₹x. Selling price of the first article = ₹x + 30% of ₹x = 1.3x. Selling price of the second article = (₹6400 - ₹x) - 20% of (₹6400 - ₹x) = 0.8(₹6400 - ₹x). Total selling price = 1.3x + 0.8(₹6400 - ₹x) = ₹7100. Simplifying, we get: 1.3x + 5120 - 0.8x = 7100 0.5x = 1980 x = ₹3960. Correct answer: c) ₹3960
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