At Joel’s bookstore, the current inventory is 40% historical fiction.

At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 20% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?

Quiz

Answer/Solution

8/14

Steps/Work

let there be 100 books in all
Historic fiction books = 40% of total = 40
Other books = 60
New historic fiction = 40% of 40 = 16
Other new books = 20% of 60 = 12
total new books = 28
fraction = 16/28 = 8/14
Ans: D