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      Question

      The ratio of the cost price to the marked price of a book

      is 3:7. If a discount of 25% is given on the book, the shopkeeper makes a profit of Rs. 150. Find the marked price of the book.
      A Rs.641 Correct Answer Incorrect Answer
      B Rs.467 Correct Answer Incorrect Answer
      C Rs.315 Correct Answer Incorrect Answer
      D Rs.520 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of the book be Rs. ‘3x’ and the marked price be Rs. ‘7x’.

      ATQ;

      Selling price of the book = 7x × 0.75 = Rs. ‘5.25x’

      Profit = 5.25x – 3x = Rs. ‘2.25x’

      So, 2.25x = 150

      Or, x = 66.67

      So, marked price of the book = 7 × 66.67 = Rs. 467


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