Question
Selling price of article ‘A’ when sold at a profit of 30% is Rs. 220 more than its selling price when sold at a loss of 50%. 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 30% = 1.30 × 100y = Rs. ‘130y’ And, selling price of the article when it is sold at a loss of 50% = 0.50 × 100y = Rs. ‘50y’ According to the question, 130y – 50y = 220 Or, y = (220/80) Or, y = 2.75 So, cost price of article ‘A’ = 100 × 2.75 = Rs. 275 Therefore, cost price of article ‘B’ = 275 + 80 = Rs. 355
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