The data showed the manufacturing to be "barely improving" in further signs of challenging economic conditions prevailing in the sector.
The Nikkei/Markit India Manufacturing Purchasing Managers' Index (PMI) - a composite indicator of manufacturing sector performance, stood at 50.7 in May as against 50.5 in April. A reading above 50 represents expansion, while one below this level means contraction.
This is the slowest growth rate recorded in five months.
However, the companies in manufacturing sector have been raising concerns about high input costs and weak demand, especially from overseas markets amid sluggish global economic conditions, and want Reserve Bank to lower the cost of capital by reducing the interest rate.
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"Signs of challenging economic conditions in the Indian manufacturing sector were evident in May, with output losing further growth momentum. The headline PMI remained in expansion territory, but recorded one of its lowest readings since the end of 2013, suggesting that the sector is barely improving," Pollyanna De Lima, Economist at Markit and author of the report, said.
"Although new orders rose further, the rate of expansion was well below the long-run survey average and new business from abroad, in fact, declined," Lima added.
As per the survey, subdued demand and an increasingly competitive environment appears to have restricted pricing power among goods producers, as output charges were raised only marginally despite cost inflation climbing to a 14-month high.
"So far, there is little evidence that the latest cut in the benchmark rate acted to significantly improve business conditions for manufacturers. Therefore, further stimulus may be necessary to shift the economy into a higher gear," Lima said.
However, the industry still wants further rate cuts from the apex bank to boost investment.