Negative growth in crude oil and natural gas and low growth in steel, cement and electricity have led to the dip in the overall growth rate of core industries.
The eight core sector industries -- coal, crude oil, natural gas, refinery products, fertiliser, steel, cement and electricity -- had expanded by 3.7 per cent in January, 2014.
The growth was 2.4 per cent in December 2014.
The core sector contributes 38 per cent to the overall industrial production, a parameter that RBI takes into account while framing its monetary policy.
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Production of crude oil and natural gas contracted by 2.3 per cent and 6.6 per cent respectively, according to the data released by the Commerce and Industry Ministry.
Output in steel, cement and electricity registered growth during the month under review, but the expansion is lower as compared to that in January 2014.
During April-January period, the eight sectors grew by 4.1 per cent as against 4 per cent in the same period of the previous fiscal.
"The sluggish performance of available lead indicators, such as the low growth of core industries and automobile production as well as the contraction in merchandise exports, foretell a muted outlook for IIP growth for January 2015," rating agency ICRA said.
As per HSBC India Purchasing Managers' Index (PMI) -- a composite gauge designed to give a single-figure snapshot of manufacturing business conditions - manufacturing growth slipped to a three-month low in January on slower pace of order flows from domestic and global markets, raising hopes of a rate cut by the RBI in its policy review.
"We maintain our view that RBI will cut policy rates by 125 bps by the end of 2015 with the next move coming as early as this week," Morgan Stanley's Asia economist Chetan Ahya said in a research note.