Question
Selling price of article βAβ when sold at a profit
of 20% is Rs. 150 more than its selling price when sold at a loss of 30%. 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 20% = 1.20 Γ 100y = Rs. β120yβ And, selling price of the article when it is sold at a loss of 30% = 0.70 Γ 100y = Rs. β70yβ According to the question, 120y β 70y = 150 Or, y = (150/50) Or, y = 3 So, cost price of article βAβ = 100 Γ 3 = Rs. 300 Therefore, cost price of article βBβ = 300 + 80 = Rs. 380
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