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India lost opener Mayank Agarwal (10), Cheteshwar Pujara (0) and skipper Virat Kohli (12) in the morning session after electing to bat.
Rohit (117), who scored two centuries in the opening Test in Visakhapatnam, and vice captain Ajinkya Rahane (83) have added 185 runs in the unfinished fourth wicket partnership.
India lead the series 2-0, having won in Visakhapatnam and Pune.