BSE Bankex and Telecom indices led the fall.
A reading above 50 means the sector is expanding, while a reading below 50 means contraction.
The Nikkei India Services Purchasing Managers' Index, which tracks the services sector firms on a monthly basis, stood at 50.3 in February, up from 48.7 registered in January.
On the other hand, jobs increased for the 10th straight month in the manufacturing sector, albeit only slightly
Markets shrugged off RBI's neutral stance on key policy rates.
The mismatch between PMI and core sector could also be due to the fact that while core sector is calculated year-on-year, PMI is calculated month-on-month.
However, IT stocks fell on weak growth forecast by Gartner
Growth concerns on China, which has already seen the yuan getting devalued twice in August, have rattled global financial markets, including that of India.
Markets in green tracking firm global cues.
The 30-share Sensex ended higher by 46 points at 26,360 and the 50-share Nifty gained 16 points at 7,891.
Sectors such as Auto, Banks, Capital Goods, FMCG, Metal, Oil & Gas and Power are trading marginally lower.
The 30-share Sensex ended down 30.30 points at 28,161.72 and the 50-share Nifty dipped 7.95 points at 8,543.