Step 1: Understand the reference "Manchester". Manchester, England, was the heart of the world's textile industry during the Industrial Revolution. The title "Manchester of..." is given to cities that are major centers of the cotton textile industry.
Step 2: Analyze the options in the context of the textile industry.
Coimbatore, in Tamil Nadu, is a major hub for the textile industry in South India, with hundreds of spinning mills and textile factories. It is widely known as the "Manchester of South India".
Ahmedabad is known as the "Manchester of India".