A bookstore sells three different types of books: fiction, non-fiction, and children's books. The prices of the books are as follows: $15, $20, and $10, respectively. The mean price of these books is $15, and the median price is also $15. The bookstore decides to have a 25% discount on all fiction books. What are the new mean and median prices of the books after the discount? Let's think step by step and output the final answer within \boxed{}.
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