Traders attributed the gains on Tuesday to data showing the balance of payments was in surplus for a third straight quarter, while the current account deficit widened but stayed within comfort.
Foreign investors bought Indian shares worth Rs 554 crore ($91.53 million) on Monday, taking their total purchase to over $13 billion so far in 2014.
The 30-share BSE Sensex rose as much as 0.8 per cent to a record high of 27,082.85 before ending 0.57 per cent higher at 27,019.39. The Nifty also hit a record high, rising as much as 0.92 per cent to 8,101.95. It ended up 0.69 per cent.
Blue-chip stocks led gains. HDFC Bank rose 2.1 per cent, while ITC gained 1.2 per cent. Reliance Industries rose one per cent, while Bharti Airtel gained 4.2 per cent.
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