Yep, just scroll down your book page. Your ranking is shown below your ASIN and other info. 
Looks like this:
File Size: 197 KB
Publisher: Lady O (December 14, 2012)
Sold by: Amazon Digital Services, Inc.
Language: English
ASIN: B00AOGFK9G
Text-to-Speech: Enabled
X-Ray: Not Enabled
Lending: Enabled
Amazon Best Sellers Rank: #2,547 Free in Kindle Store (See Top 100 Free in Kindle Store)
Looks like this:
File Size: 197 KB
Publisher: Lady O (December 14, 2012)
Sold by: Amazon Digital Services, Inc.
Language: English
ASIN: B00AOGFK9G
Text-to-Speech: Enabled
X-Ray: Not Enabled
Lending: Enabled
Amazon Best Sellers Rank: #2,547 Free in Kindle Store (See Top 100 Free in Kindle Store)