Question
Selling price of article βAβ when sold at a profit
of 45% is Rs. 260 more than its selling price when sold at a loss of 35%. 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 45% = 1.45 Γ 100y = Rs. β145yβ And, selling price of the article when it is sold at a loss of 35% = 0.65 Γ 100y = Rs. β65yβ According to the question, 145y β 65y = 260 Or, y = (260/80) Or, y = 3.25 So, cost price of article βAβ = 100 Γ 3.25 = Rs. 325 Therefore, cost price of article βBβ = 325 + 80 = Rs. 405
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