you can approach National Bureau of Soil Survey and Land Use Planning,head quarter at Nagpur.

they have ready made atlas of soils  for each area of india

Dear Rajat

You can try at

http://swat.tamu.edu/software/links/india-dataset/

http://slusi.dacnet.nic.in/

http://www.nbsslup.in/

Please have a look at this link.

http://www.isric.org/data/data-download

thanks vikram and ashish

This is also a good resource

http://www.fao.org/soils-portal/soil-survey/soil-maps-and-databases/harmonized-world-soil-database-v12/en/

Thanks Guedes..

You may look into  two pdfs  attached ( tool to estimate the  saturated hydraulic properties (sHC) of two major soils of India and maps  on sHC thereof). This is the first time in India that quantitative data on hydraulic conductivity are reported based on primary data source of the NBSS&LUP, Nagpur.