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    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.
    A Rs 5000 Correct Answer Incorrect Answer
    B Rs 4000 Correct Answer Incorrect Answer
    C Rs 3000 Correct Answer Incorrect Answer
    D Rs 6000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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