Question
Quantity I: The ratio of the
cost price to the selling price of an article is 7:11. Calculate the % profit made on the article. Quantity II: An article is purchased for Rs.1250, marked up by 50% above its purchase price, and sold after applying a 10% discount on the marked price. Determine the profit %. Quantity III: An article is sold for Rs.1580. The shopkeeper allows a 20% discount on the marked price, which was initially set with a 40% markup on the cost price. Find the profit %. For every question, evaluate the three provided quantities, compute their respective values, and analyze how they compare to each other.Solution
ATQ, Quantity I: Profit % = [4/7]Γ100 = 57.14% Quantity II: Selling price = 1250Γ150Γ90/(100Γ100) = Rs.1687.5 Profit % = [(1687.5-1250)/1250]Γ100 = 35% Quantity III: Cost price of article is 1580Γ[100/80]Γ[100/140] = 1410.71 So, profit % [1580-1410]Γ100/1410 = 12.05% Quantity I > Quantity II > Quantity III
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