The 30-share index crossed the 30,000-mark by surging 431.01 points, or 1.45 percent, to trade at an all-time high of 30,024.74.
The gauge had rallied by 847.08 points in previous four sessions on the back of strong foreign fund inflows following a growth-oriented Union Budget.

Read more:
RBI cuts lending rate by 0.25 percent to 7.5 percent on softening inflation

All the sectoral indices, led by banking and realty, were trading in positive zone with gains up to 2 percent.
On similar lines, the National Stock Exchange index Nifty breached the 9,100-mark for the first time by climbing 122.95 points, or 1.36 percent, to 9,119.20.
Equity brokers said sentiments were buoyed largely on the back of RBI's surprise move to cut repo rate by 0.25 percent to 7.5 percent, accelerating buying activity, particularly in
interest-sensitive stocks.

Read more:Banks should pass on RBI rate cut benefits, say auto makers

Among other Asian markets, Hong Kong's Hang Seng was down by 0.32 percent, while Japan's Nikkei shed 0.66 percent in morning trade on Wednesday.
The US Dow Jones Industrial Average ended 0.47 percent lower in Tuesday's trade.

The short term lending rate (repo) will be reduced from 7.75 percent to 7.5 percent with immediate effect and the other rates would be adjusted accordingly, RBI Governor Raghuram Rajan announced in an early morning press release.
Soon after the rate cut announcement, the BSE Sensex soared to the historic 30,000-mark in opening trade.
This is the second time in two months that the RBI has cut interest rates outside the regular policy reviews. Last time on January 15, it had cut the repo rate by 0.25 percent to 7.75 percent.

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