Compare and contrast the ways in which Imperial Britain exercised control over India and China

In India, a small British colonial force ruled through existing native rulers. India became part of the British Empire. In China the British got trading rights and extraterritoriality (British citizens in China were subject to British law and courts, not Chinese law) through the defeat of the Chinese monarchy in the Opium Wars. Britain traded with China on a favorable basis (as if it was a colony), but did not run China as a colony, or as part of the Empire.