MathematicsA shopkeeper earns a profit of 15% after selling a book at 20% discount on the printed price. Find the ratio of the cost price and the printed price of the book.

A shopkeeper earns a profit of 15% after selling a book at 20% discount on the printed price. Find the ratio of the cost price and the printed price of the book.


  1. A
    20:23
  2. B
    23:20
  3. C
    16:23
  4. D
    23:16  

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    Solution:

    Given that the profit earned is 15% and discount given is 20%.
    Let the printed price of the book be Rs. 100.
    After a discount of 20%, S.P. =Rs. 80 Profit earned =15%
    Thus, cost price of book = 100115×80
    Cost price of book =160023
    Required ratio= 160023×100 Required ratio = 16:23 So, ratio of cost price to printed price is 16:23.
    Hence, the correct option is 3.
     
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