Here's how a responsive website design can help your business.
Initially, mobile websites were offered to capture Smart phone users. That means that you build a website specifically for small screen viewers. This is a different version of the mainstream website.
Mobile online users do not have much patience for hard to use websites, they will just simply find another site that is easier to use and viewer friendly.
A well-designed and well-marketed website will not work with mobile users without a responsive design. Traffic will be high, so as your bounce rate.
Building different websites to accommodate different devices could also mean duplicated content. To resolve this, you will need to come up with different sets of content which can confuse your viewers.