Question
Quantity I: A mobile has a marked price of Rs. 6000. The
shopkeeper gives a 10% discount but still earns an 8% profit. What would be the profit percentage if no discount is offered? Quantity II: The ratio of the marked price to the cost price of an article is 5:4. If the shopkeeper offers a 15% discount on the marked price, what is the profit percentage? Following questions have two quantities as Quantity I and Quantity II. You have to determine the relationship between them and give answer as,Solution
From quantity I, CP of mobile = 100x 6000 * 90/100 = 100x * 108/100 x = 50 CP of mobile = 100 * 50 = 5000 If no discount given, Profit = 6000 – 5000 = 1000 Profit % = 1000/5000 * 100 = 20% From quantity II, MP of article = 5x CP of article = 4x SP of article = 5x * 85/100 = 4.25x Profit percentage = (4.25x – 4x)/4x * 100 = 6.25% Quantity I > quantity II
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