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      Question

      A dealer marked his goods 50% above the cost price and

      sold it after two consecutive discounts of 10% and 20%. If he had marked it 40% above the cost price and sold it after a discount of 20%, then he would have earned Rs. 300 more. Find the cost price of the goods.
      A Rs 7500 Correct Answer Incorrect Answer
      B Rs 7200 Correct Answer Incorrect Answer
      C Rs 7000 Correct Answer Incorrect Answer
      D Rs 8000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the cost price of the goods be Rs. ‘y’. So, the original marked price of the goods = Rs. 1.5y Original selling price of the goods = 1.5y × 0.9 × 0.8 = Rs. 1.08y New marked price of the goods = Rs. 1.4y New selling price of the goods = 1.4y × 0.8 = Rs. 1.12y According to the question: 1.12y – 1.08y = 300 0.04y = 300 y = 300 / 0.04 y = 7500 So, the cost price of the goods = Rs 7500

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