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      Question

      The cost price and marked price of a bag are in the ratio

      of 4:9. If the bag is sold at a 30% discount, the shopkeeper makes a profit of Rs. 180. Determine the marked price of the bag.
      A Rs.641 Correct Answer Incorrect Answer
      B Rs.467 Correct Answer Incorrect Answer
      C Rs.704 Correct Answer Incorrect Answer
      D Rs.520 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of the bag be Rs. β€˜4x’ and the marked price be Rs. β€˜9x’.

      ATQ;

      Selling price of the bag = 9x Γ— 0.7 = Rs. β€˜6.3x’

      Profit = 6.3x – 4x = Rs. β€˜2.3x’

      So, 2.3x = 180

      Or, x = 78.26

      So, marked price of the bag = 9 Γ— 78.26 = Rs. 704

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