Question
Selling price of article ‘A’ when sold at a profit
of 40% is Rs. 170 more than its selling price when sold at a loss of 28%. 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 40% = 1.40 × 100y = Rs. ‘140y’ And, selling price of the article when it is sold at a loss of 28% = 0.72 × 100y = Rs. ‘72y’ According to the question, 140y – 72y = 170 Or, y = (170/68) Or, y = 2.5 So, cost price of article ‘A’ = 100 × 2.5 = Rs. 250 Therefore, cost price of article ‘B’ = 250 + 80 = Rs. 330
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