Why do Indian trains come in three liveries? I thought they only had the two-tone blue.
Indian trains actually come in a lot of different liveries, not just three.
The two-tone blue is the standard nationwide livery.
The blue-white with red stripe seen on two trains in this video is called the Central Railway Day Train livery. It is used on corridor-type intercity trains with sitting only accommodation (no sleepers) belonging to the Central Railway zone of Indian Railways
The third livery seen in the video- the yellow-green mashup that looks like camouflage is the latest addition called the Duronto livery. It is applied only to special category of trains called Duronto Express which all carry only origin to destination passengers. They do not have any commercial halts along the way and the only ticket you can get if from first station to last station.
There are five more prominent liveries for special category of trains-
1) Rajdhani Express livery- there are two versions of this. The older one looked like
this and the current one looks like
this. This livery is used for Rajdhani Express category of trains which are Indian Railway's premier overnight services with sleeper accommodation only, and food is included in ticket fare.
2) Shatabdi Express livery- there are two versions of this too. The older one looked like
this and the current one looks like
this. There is also a third variation of it coming up these days, looking like
this. These are premier fully air-conditioned daytime corridor trains, food included in ticket fare.
3) Garib Rath livery- looks like
this. These are the low-cost overnight trains offering a denser sleeper configuration at lower fares than regular sleeper fares.
4) Janshatabdi livery- looks like
this. These are daytime corridor trains with all reserved cars, no walk-up with unreserved tickets allowed.
5) AC Double Decker livery- looks like
this. Used only on newly introduced bi-level fully air conditioned corridor trains with reserved seating only.
Hope this helps.