Flexibility
Responsive websites are flexible. The content moves freely across all screen resolutions and devices. Both the grid and images are fluid. It gives a smooth user experience. No scrolling or resizing is needed for any visitor on any device. 

Cost effective
Making one responsive website takes comparatively less time than making a standalone mobile application. It reduces installation / configuration cost too. Responsive website gives you long run benefits with lower maintenance.

  Lower the bounce rate
Responsive website gives better user experience to the visitors. Therefore, it is much sure that user will stick to the web page for longer period of time and explore the different areas of the site. Alternatively, if your site isn’t responsive, it is much harder to keep the visitor engaged and therefore more likely that they’ll bounce.

Google loves it!
Google prefers responsive websites for its ranking. It is easier to share the contents and urls from the responsive website. The feature of responsiveness gives an important ranking factor in the search engine. 

  Higher conversion rate
If user sticks for longer time on your website, then higher chances to get that user converted into customer. The user can take the action like signing up for news letter, making a purchase or request a call back etc which can be taken forward.