Answer : 1 Rs. 404.80 Explanation : Answer: A) Rs. 404.80 Explanation: Let C1 be the cost price of the first article and C2 be the cost price of the second article.Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%.We know, C1 C2 = 600.The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 (22/100)C1 = 1.22C1The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2.The total selling price of the first and second article = 1.22C1 0.92C2.As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2.Therefore, 1.22C1 0.92C2 = C1 C2 = 600As C1 C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 0.92C2 = 600, we get1.22C1 0.92(600 - C1) = 600or 1.22C1 - 0.92C1 = 600 - 0.92600or 0.3C1 = 0.08600 = 48or C1 = 48/(0.3) = 160.If C1 = 160, then C2 = 600 - 160 = 440.The item that is sold at loss is article 2. The selling price of article 2 = 0.92C2 = 0.92440 = 404.80.
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