At close, the Sensex was up 259.75 points or 0.32 per cent at 80,501.99, and the Nifty was up 12.50 points or 0.05 per cent at 24,346.70.
At close, the Sensex slipped 0.06%, or 46.14 points, to settle at 80,242.24, while the Nifty edged lower by 0.01%, or 1.75 points, to end at 24,334.20.
At close, the Sensex rose 70.01 points or 0.09% to 80,288.38, while the Nifty edged up 7.45 points or 0.03% to settle at 24,335.95.
The domestic benchmark indices opened higher on Tuesday amid positive cues from global markets, as buying was seen in the PSU bank, auto and IT sectors in the early trade.
At close, Sensex was up 1,005.84 points or 1.27% at 80,218.37 while Nifty was up 289.15 points or 1.20% at 24,328.50.
In Asian markets, Japan's Nikkei was down 316 points, Hong Kong's Hang Seng declines 123 points while China's Shanghai surged 18 points on Monday morning.
Foreign portfolio investors (FPIs) have sold assets worth about Rs 15,828 crore in Indian stock markets so far in 2023
A substantial reduction in both retail and wholesale inflation in the nation prevented the indices from falling much, though.
The marginal rise in indices for the second day can be partly attributed to the moderation in both retail and wholesale inflation in India.
Sensex traded at 60,316.99 points, up 224.02 points or 0.37 per cent, whereas Nifty was at 17,964.75 points, up 69.90 points or 0.39 per cent.
