We present a modeling and analysis of the COVID-19 outbreak in India with an emphasis on the socio-economic composition, based on the progress of the pandemic in 11 federal states where the outbreak is the largest in terms of total number of infectives. Our model is based on the susceptible-exposed-infectives-removed (SEIR) model, including an asymptomatic transmission, time dependent incubation period and time dependent transmission rate. We carry out the analysis with the available
disease data up to the end of August 2020, with a projection of 54 days into the months of September and October 2020, based on the past data. Overall, we have presented a projection up to 400 days (till April 18, 2021) for India. We also find the existence of a critical day, signifying a sudden shift in the transmission pattern of the disease, with interesting relation of the behavior of the pandemic with demographic and socio-economic parameters. The results of this work can be used as a future guidance to follow in case of similar pandemics in the developing countries.