Question
Selling price of article ‘A’ when sold at a profit
of 55% is Rs. 200 more than its selling price when sold at a loss of 45%. 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 55% = 1.55 × 100y = Rs. ‘155y’ And, selling price of the article when it is sold at a loss of 45% = 0.55 × 100y = Rs. ‘55y’ According to the question, 155y – 55y = 200 Or, y = (200/100) Or, y = 2 So, cost price of article ‘A’ = 100 × 2 = Rs. 200 Therefore, cost price of article ‘B’ = 200 + 80 = Rs. 280
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