Question
Selling price of article βAβ when sold at a profit
of 35% is Rs. 120 more than its selling price when sold at a loss of 40%. 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 35% = 1.35 Γ 100y = Rs. β135yβ And, selling price of the article when it is sold at a loss of 40% = 0.60 Γ 100y = Rs. β60yβ According to the question, 135y β 60y = 120 Or, y = (120/75) Or, y = 1.6 So, cost price of article βAβ = 100 Γ 1.6 = Rs. 160 Therefore, cost price of article βBβ = 160 + 80 = Rs. 240
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