Question
The sum of cost price and marked price of article 'A'
and that of article 'B' are Rs. 9,000 and Rs. 12,000, respectively. Articles 'A' and 'B' were marked 25% and 100% above their respective cost prices. If both the articles were sold after allowing a discount of 20%, then find the difference between their selling prices.Solution
Let the cost price of article 'A' be Rs. 'x' Therefore, marked price of article 'A' = 1.25 Γ x = Rs. '1.25x' According to the question, 1.25x + x = 9000 Or, 2.25x = 9000 Or, x = (9000 / 2.25) = 4000 Marked price of article 'A' = 1.25 Γ 4000 = Rs. 5000 Selling price of article 'A' = 0.8 Γ 5000 = Rs. 4000 Similarly, let the cost price of article 'B' be Rs. 'y' Marked price of article 'B' = 2y y + 2y = 12000 Or, 3y = 12000 Or, y = (12000 / 3) = 4000 Marked price of article 'B' = 2 Γ 4000 = Rs. 8000 Selling price of article 'B' = 0.8 Γ 8000 = Rs. 6400 Required difference = 6400 β 4000 = Rs. 2400
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