Question
A boutique owner marked a dress 100% above the cost
price and sold it after two consecutive discounts of 15% and 10%. If she had marked it 80% above the cost price and sold it after a discount of 10%, then she would have earned Rs. 450 more. Find the cost price of the dress.Solution
Let the cost price of the dress be Rs. ‘z’. So, the original marked price of the dress = Rs. 2z Original selling price of the dress = 2z × 0.85 × 0.9 = Rs. 1.53z New marked price of the dress = Rs. 1.8z New selling price of the dress = 1.8z × 0.9 = Rs. 1.62z According to the question: 1.62z – 1.53z = 450 0.09z = 450 z = 450 / 0.09 = 5000 So, the cost price of the dress = Rs 5000
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