Answer
Our fully-embedded modules have a throughput of around 300-360 kbps. They have an on-board Bluetooth stack and do all of the Bluetooth processing themselves. Bluetooth 2.1 + EDR has a practical transfer rate of 2.1 Mbit/s, but this is not possible on a small embedded module that does not have a powerful PC-type processor.
For more information on the throughput of the BT740, see the following application note: BTM44X Enhanced Data Module: Throughput Analysis. The throughput analysis on the BTM44X is also relevant to the BT740.