Rajinda first met Thomas at Jaipur Junction when the tank engine was collecting some fabric. Thomas was curious that Rajinda had an elephant nose, which the tender engine replied "Brilliant, isn't it?"
Rajinda is based on the Indian Railways' WP class 4-6-2. These engines were manufactured between 1947 and 1967 by the Baldwin Locomotive Works in the United States, the Montreal Locomotive Works and the Canadian Locomotive Company in Canada, the Fabryka Lokomotyw in Poland, the Lokomotivfabrik Floridsdorf of Austria and the Chittaranjan Locomotive Works of India and used to haul passenger trains. Unlike his basis, Rajinda has a 4-6-4 wheel arrangement.
Rajinda is indigo with red stripes. His wheels are green with red centres and borders. His running board and cylinders are also green. He has red cylinders and buffer heads with white borders. His dome, funnel and cowcatcher are red.
For the celebration, Rajinda wears a green elephant trunk, has magenta and yellow dots surrounding his face and two tan elephants are present on his front.