Question
Selling price of article βAβ when sold at a profit
of 30% is Rs. 160 more than its selling price when sold at a loss of 50%. 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 30% = 1.30 Γ 100y = Rs. β130yβ And, selling price of the article when it is sold at a loss of 50% = 0.50 Γ 100y = Rs. β50yβ According to the question, 130y β 50y = 160 Or, y = (160/80) Or, y = 2 So, cost price of article βAβ = 100 Γ 2 = Rs. 200 Therefore, cost price of article βBβ = 200 + 80 = Rs. 280
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