As I have seen lots of rich snippets markup in search result which they have done with there individual (person) Google+ profile. And that's great.
So is it legal or not if I used my Google+ business brand profile for the same.
Please have look at the Google+ profile for more information https://plus.google.com/111362101795597548116
Thanks in advance.
I suspect you are talking about the author mark-up that can cause a Google+ provide to be added to a search results.
AFAIK business pages are not currently displayed in rich snippets.
You can define your Google+ business page as the publisher for your website. Maybe in the future this could cause rich snippets.
http://support.google.com/webmasters/bin/answer.py?hl=en&answer=1708844