On Tuesday, the Indian rupee opened at 95.33 against the dollar, up by 6 paise, whereas it had closed at 95.39 on Monday.
Sensex gained 67.17 pts or 0.09% to 78,352.24 at after positive opening at 78,461.16 from the previous close of 78,285.07; Nifty 50 was up 18.95 pts or 0.08% to 24,449.30