Question
Selling price of article ‘A’ when sold at a profit
of 20% is Rs. 150 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 20% = 1.20 × 100y = Rs. ‘120y’ And, selling price of the article when it is sold at a loss of 30% = 0.70 × 100y = Rs. ‘70y’ According to the question, 120y – 70y = 150 Or, y = (150/50) Or, y = 3 So, cost price of article ‘A’ = 100 × 3 = Rs. 300 Therefore, cost price of article ‘B’ = 300 + 80 = Rs. 380
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