I was wondering if there is any FREE way to check total number of backlinks (inbound links) of internal webpages "from other websites" of any website? If anyone can answer this question, it'll really help me to make a solid strategy to outrank my competitors.
yes.. there are such type of free tools which can really provide good information of the back links of any site. http://www.opensiteexplorer.org/ http://www.majesticseo.com/ have a look at above sites.. both provide the information free of cost. Let me know if you still didn't find the solution.
I suggest you use Traffic Travis. It helps locate all backlinks to your main page as well as internal pages. They have a free version you can download off their site. Hope that helps. Have a good day!