Question
Selling price of article ‘A’ when sold at a profit
of 35% is Rs. 120 more than its selling price when sold at a loss of 40%. If the cost price of article ‘B’ is Rs. 80 more than that of ‘A’, then find the cost price of article ‘B’.Solution
Let the cost price of article ‘A’ = Rs. ‘100y’ Then, selling price of the article when it is sold at a profit of 35% = 1.35 × 100y = Rs. ‘135y’ And, selling price of the article when it is sold at a loss of 40% = 0.60 × 100y = Rs. ‘60y’ According to the question, 135y – 60y = 120 Or, y = (120/75) Or, y = 1.6 So, cost price of article ‘A’ = 100 × 1.6 = Rs. 160 Therefore, cost price of article ‘B’ = 160 + 80 = Rs. 240
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