Question
A shopkeeper originally priced an item at 60% above its
cost price and then offered a 15% discount before selling it. If the shopkeeper had initially marked the item at 75% above the cost price and offered a 20% discount, they would have made Rs.130 more in profit. The question seeks to find the selling price of the item, considering the shopkeeper's goal of achieving a 22% profit.Solution
ATQ, Let, cost price of the item is Rs. ‘a’ Selling price of the item when it was marked 60% above the cost price and sold after giving a discount of 15% = 0.85 × 1.60 × a = Rs. 1.36a Selling price of the item when it was marked 75% above the cost price and sold after giving a discount of 20% = 0.80 × 1.75 × a = Rs. 1.4a So, 1.4a – 1.36a = 130 Or, 0.04a = 130 Or, a = 3250 Required Selling price = 1.22 × 3250 = Rs.3965
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