The Nikkei India Services Purchasing Managers' Index (PMI), which tracks services sector companies on a monthly basis, stood at 46.8 in December, little changed from November's 46.7, indicating a further solid contraction in output.
The index that slipped into contraction territory in November remained in that zone as the rupee ban led to the sharpest fall in new business since September 2013.
A reading above 50 shows expansion while a score below denotes contraction.
With factory production also softening, activity across the private sector dropped the maximum in over three years.
The seasonally adjusted Nikkei India Composite PMI Output Index -- which maps both manufacturing and services sectors -- stood at 47.6 in December, from 49.1 in November.
"Combined with the manufacturing PMI, data suggest that Indian GDP is set to grow in Q3 2016-17, but a slowdown is likely," Lima added.
"Of concern, business confidence among service providers plunged to one of the lowest in the series' 11-year history, suggesting that an imminent rebound from the rupee demonetisation downturn is unlikely," Lima said.
Though there are expectations of a rebound in demand in coming 12 months, worries towards the speed of the recovery following the cash recall hampered confidence, the survey stated.
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