Question
A bag of cost price of Rs. 10000 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 25% in the transaction, then find the discount percent offered?Solution
ATQ, Selling price of the bag = 0.75 × 10000 = Rs. 7500 Let the markup percentage be x% and the discount percentage offered be 2x%. Therefore, Marked price = 10000 + x% of 10000 = Rs. (10000 + 100x) Discount = 2x% of (10000 + 100x) Therefore, selling price = 10000 + 100x – 200x = 7500 Or, x2 + 100x – 2500 = 0 On solving, x = −100 and 10 Therefore, Discount percentage = 2x=20%.
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