An energy efficient routing mechanism in WBAN can reduce the energy usage in nodes for communication thereby improving the life time of the network. WBAN which is an autonomous network uses heterogeneous sensor nodes which are battery powered. These nodes are used for monitoring body parameters continuously. Routing operations are used to send the data from sensor nodes to sink which is the destination node. The nodes can also be used as intermediate nodes during routing operation. This routing operation consumes much of the energy in the network. Existing routing mechanisms using cost computing methodologies have adopted residual energy, distance metrics with number of hops as parameters. This paper adapts device type along with residual energy and distance with hop count for cost computation to find the next hop node used for forwarding the data. A novel mechanism of controlled Hello packet broadcasting reduces the control packets and improves energy efficiency in the network. The simulation outcome shows better performance compared to the modified new-attempt routing protocol (NEW-ATTEMPT) and forwarding packets randomly. The EER-W routing ensures the most optimal and feasible path is selected from the source to the coordinator or sink with dynamic updating of next hop and routing tables. This reduces the energy consumption and increases life time and network throughput.