Question
Selling price of article ‘A’ when sold at a profit
of 60% is Rs. 190 more than its selling price when sold at a loss of 16%. 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 60% = 1.60 × 100y = Rs. ‘160y’ And, selling price of the article when it is sold at a loss of 16% = 0.84 × 100y = Rs. ‘84y’ According to the question, 160y – 84y = 190 Or, y = (190/76) 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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