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      Question

      A bookseller made a profit of (100/9) % on selling a book.

      If he had purchased the book for 12.5% less than its original cost price and sold it for ₹6,240 more than the initial selling price, his profit would have been 60%. Determine the original cost price of the book.
      A Rs. 21600 Correct Answer Incorrect Answer
      B Rs. 15600 Correct Answer Incorrect Answer
      C Rs. 18400 Correct Answer Incorrect Answer
      D Rs. 16400 Correct Answer Incorrect Answer

      Solution

      Let the initial cost price of the book be Rs. '72x'

      So, the initial selling price of the book = (10/9) X 72x = Rs. '80x'

      So, new cost price of the book = 0.875 X 72x = Rs. '63x'

      And new selling price of the book = Rs. (80x + 6240)

      ATQ;

      1.6 X 63x = 80x + 6240

      Or, (8/5) X 63x = 80x + 6240

      Or, 63x = 50x + 3900

      Or, 13x = 3900

      Or, x = 300

      Therefore, initial cost price of the book = 72x = 72 X 300 = Rs. 21,600

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