Question
Selling price of article ‘A’ when sold at a profit
of 50% is Rs. 100 more than its selling price when sold at a loss of 30%. 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 50% = 1.50 × 100y = Rs. ‘150y’ And, selling price of the article when it is sold at a loss of 30% = 0.70 × 100y = Rs. ‘70y’ According to the question, 150y – 70y = 100 Or, y = (100/80) Or, y = 1.25 So, cost price of article ‘A’ = 100 × 1.25 = Rs. 125 Therefore, cost price of article ‘B’ = 125 + 80 = Rs. 205
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