From here Routing in Asp.net Mvc 4 and Web Api
Darin Dimitrov has posted a very good answer which is working for me.
It says...
You could have a couple of routes:
public static class WebApiConfig
{
public static void Register(HttpConfiguration config)
{
config.Routes.MapHttpRoute(
name: "ApiById",
routeTemplate: "api/{controller}/{id}",
defaults: new { id = RouteParameter.Optional },
constraints: new { id = @"^[0-9]+$" }
);
config.Routes.MapHttpRoute(
name: "ApiByName",
routeTemplate: "api/{controller}/{action}/{name}",
defaults: null,
constraints: new { name = @"^[a-z]+$" }
);
config.Routes.MapHttpRoute(
name: "ApiByAction",
routeTemplate: "api/{controller}/{action}",
defaults: new { action = "Get" }
);
}
}