Financial and realty stocks powered the show.
Markets welcomed the budgetary proposals of infusing Rs 10,000 crore in public sector banks and keeping long-term (LTCG) and short-term capital gains tax (STCG) unchanged for the capital market.
Additionally, Finance Minister Arun Jaitley proposed that category I and II foreign portfolio investors (FPIs) should be exempted from taxation on indirect transfers, which made investors a happy lot.
The Sensex, which kept moving in a tight range immediately after the Budget was presented in Parliament, started climbing and closed higher by 485.68 points, or 1.76 per cent, at 28,141.64. This is its highest closing since October 24 last year when it settled at 28,179.08.
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It had shot up about 504 points intra-day.
The broad-based Nifty was also on the upswing and rallied by 155.10 points, or 1.81 per cent, to settle at 8,716.40 after touching the day's high of 8,722.40 and a low of 8,537.50.
"No change in long-term capital gains tax on equities has lightened investors' fears on transaction cost. The budget has given a positive momentum in the market, the focus of which was to reduce fiscal deficit to 3.2 per cent of GDP in 2017-18. Infrastructure developments are welcomed by the investors," said Vinod Nair, Head of Research, Geojit BNP Paribas Financial Services.
Meanwhile, Nikkei Markit India Manufacturing PMI in January rebounded from the demonetization downturn amid rising order books, production as well as buying levels and expansion in the sector by increasing to 50.4, from 49.6 in December.
The Budget also allocated a record Rs 3.96 lakh crore to the infrastructure sector. Also, the government announced infrastructure status to affordable housing to encourage investment and offered tax sops for developers sitting on completed unsold inventories, which triggered buying in realty stocks.
DLF, Godrej Properties, HDIL, Oberoi Realty, Prestige Estate Projects, Sobha Ltd and Unitech zoomed by up to 6.74 per cent.
Major gainers included Maruti Suzuki (4.69 per cent), M&M (4.64 per cent), ITC (4.51 per cent), ICICI Bank (4.40 per cent), GAIL (3.76 per cent) and Adani Ports (3.60 per cent).
The mid-cap index rose 1.77 per cent and small-cap 1.68 per cent.
Sentiment turned more bullish on proposal to further
liberalise FDI policy, traders said.
Overall, 18 out of 30 index-based components ended in the green while others in the red. The big gainer was Maruti Suzuki, which jumped after total sales rose 27.1 per cent to 1.44 lakh units in January 2017.
The market breadth turned positive as 1,935 shares ended higher, 896 closed lower while 101 ruled steady.
The total turnover on BSE hit Rs 3,797.88 crore, higher than Rs 3,204.94 crore registered during the previous session.