Question
Selling price of article โAโ when sold at a profit
of 50% is Rs. 180 more than its selling price when sold at a loss of 40%. If the cost price of article โBโ is Rs. 80 more than that of โAโ, then find the cost price of article โBโ.Solution
Let the cost price of article โAโ = Rs. โ100yโ Then, selling price of the article when it is sold at a profit of 50% = 1.50 ร 100y = Rs. โ150yโ And, selling price of the article when it is sold at a loss of 40% = 0.60 ร 100y = Rs. โ60yโ According to the question, 150y โ 60y = 180 Or, y = (180/90) Or, y = 2 So, cost price of article โAโ = 100 ร 2 = Rs. 200 Therefore, cost price of article โBโ = 200 + 80 = Rs. 280
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