Apple Watch not working correctly here in India

You should make sure your watch is calibrated:

Calibrating your Apple Watch for improved Workout and Activity accuracy - Apple Support

You can further improve its accuracy using these tips.

Get the most accurate measurements using your Apple Watch - Apple Support

Also step tracking is an approximation based on wrist movement. You can fake it by sitting on the sofa waving your arm round, The only accurate measurements are with GPS outside walk and run. The rest is frippery.

On a typical day with a 4K walk, the steps would be maybe 5000 after the workout but 10,000 by end of day just pottering around the house.

Is that what you mean?