Question
A bag of cost price of Rs. 6000 is marked up by a
certain percentage, and a discount percent of twice the markup percent is offered on it. If there is a loss of 15% in the transaction, then find the discount percent offered?Solution
ATQ, Selling price of the bag = 0.85 × 6000 = Rs. 5100 Let the markup percentage be x% and the discount percentage offered be 2x%. Therefore, Marked price = 6000 + x% of 6000 = Rs. (6000 + 60x) Discount = 2x% of (6000 + 60x) Therefore, selling price = 6000 + 60x – 120x = 5100 Or, x2 + 60x – 900 = 0 On solving, x = − 90 and 10 Therefore, Discount percentage = 2x = 20%.
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