The British in India also used duplexes, of CDSs and killers. This one is from Mount Road, Madras, to Calcutta in 1886:


The 'M' in the killer standing, of course, for 'Madras' - the Madras (Postal) Circle. (For postal purposes, India was divided into a number of Circles, based on the main cities in the regions).
The two halves seem to have been easily detachable. More often than not, you find the killer part cancelling the stamp, and the CDS part somewhere else on the item, if at all:


Here the 'L' stands for Lahore, the main city of the Punjab Circle. The CDS part appears on the back for Umballa City (now Ambala City, in Haryana State).
There was a further refinement of the killers. Numbers were added to identify the post office within the Circle:


Here, the 'A' identifies the Bengal Circle, based on Calcutta; the '37' identifies the main post office under Calcutta, and the '7' identifies the sub-post office under Main Office 37. The CDS on the back shows that A-37-7 was apparently Sambhal, in modern Uttar Pradesh State.
Edit: To add that, for those who become confused and irritated by the difference between US and English (and Australian) date formats - whether MM-DD-YY or DD-MM-YY - it's instructive to look at the dates on these covers. Calcutta was still using the old-fashioned (ahem!) MM-DD-YY format, but out in the provinces, they were using the new DD-MM-YY pattern.