A bookseller sells a particular novel at 10% discount on the labeled price. Also he is so generous that he gives a free book for every 15 books for wholesale buyers. In this transaction his gain is 35%. Then find the ratio of Ratio of Labeled Price to the actual CP.

• Lets assume the CP of each book be 100. Hence CP of 16 books would be 1600. SP of 15 books = 1600 + (1600 * 35/100) = 2160.
  SP of each book would be 2160/15 = 144.
  If SP of each book is 90, labeled price would be 100 (since he gives at a 10% discount).
  Hence if SP is 144 marked price would be 144*(100/90) = 160.
  Ratio of Labeled Price to the actual CP = 160/100 = 8/5.
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