First off, let's define what a cloud mobile application is. Basically, it is a software program that is designed to provide portable devices, such as smartphones, access to its functionality over the Internet. The cloud application runs on external servers and stores all the data externally as well, which makes them pretty similar to web apps. It comes from the fact that, actually, all cloud apps are web apps. But it doesn't work vice versa. Not all mobile web apps can be deployed and run in a virtual environment without being re-engineered first. This is because a web app may have initially been designed to run and store data on a dedicated physical server in a data center. On the contrary, a cloud app is supposed to live on virtual servers in a distributed, multi-tenant architecture and store data in the cloud.
Now, here are some of the key points that may perfectly answer your question about why you should consider building a mobile cloud app for your business: