When the price of the book is decreased by 15%, the total price decrease is 15/100*$400=$<<15/100*400=60>>60

The new price of the book becomes $400-$60 = $<<400-60=340>>340

The price of the book is then increased by 40/100*340 = $<<40/100*340=136>>136

The final price of the book is $340+$136 = $<<340+136=476>>476

# Answer

476
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The price of a book was $400. If the book's price is decreased by 15% and then increased by 40%, what is the final price of the book?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
476
The price of a book was $400. If the book's price is decreased by 15% and then increased by 40%, what is the final price of the book?
train