Actually, the situation is one that only the British bureaucracy could create...,
The British rule or "raj" in India didn't "start" until 1858 after the supression of the Sepoys, but Pitt's India Act of 1784, and the later Act of 1786 (initiated by Lord Charles Cornwallis; the same dude defeated at Yorktown) placed the EIC under the British Crown for political matters, and in '86 made Cornwallis both the Governor-General and the Commander-in-Chief of British forces in India. So the British army was indeed in India long before 1858, commanded by British officers, wearing British uniforms, and paid through British army channels..., though the money came out of EIC coffers and not from the English or Royal treasuries.
LD