Because they needed the protection of the East India Company (EIC) to preserve the Mughal authority. After one century of prosperity the Mughal empire was facing its own decline. Different emperors raise to throne and did very little to save the empire from its collapse.
They faced several fights among claimers to the throne and eventually civil war. Much of the Mughal treasures were looted. In response, the British from the EIC gained trading rights, such as collect taxes, and ultimately political power.
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The correct answers are "Economic", "Indigo", and "Customer".
Since its establishment during the 18th century, the British East India Company saw India as a sourcing point for numerous goods that were later taken to Great Britain, including Indigo, which is used for coloring clothing.
On the other hand, the vast population of India made the territory a potential market for goods manufactured by the British. This also made many businessmen very wealthy during the years of British Colonization of India.
Mediterranean and the Red seas