Question
Selling price of article βAβ when sold at a profit
of 25% is Rs. 250 more than its selling price when sold at a loss of 55%. If the cost price of article βBβ is Rs. 80 more than that of βAβ, then find the cost price of article βBβ.Solution
Let the cost price of article βAβ = Rs. β100yβ Then, selling price of the article when it is sold at a profit of 25% = 1.25 Γ 100y = Rs. β125yβ And, selling price of the article when it is sold at a loss of 55% = 0.45 Γ 100y = Rs. β45yβ According to the question, 125y β 45y = 250 Or, y = (250/80) Or, y = 3.125 So, cost price of article βAβ = 100 Γ 3.125 = Rs. 312.5 Therefore, cost price of article βBβ = 312.5 + 80 = Rs. 392.5
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