Hi@akhtar,
The Elastic IP address doesn't incur charges as long as following conditions are true.
- 
The Elastic IP address is associated with an ec2  instance. 
- 
The instance associated with the Elastic IP address is running. 
- 
The instance has only one Elastic IP attached to it. 
If these conditions are not matched, that you will be charged per hourly.
Elastic IP remap pricing:
Hope it will clear your doubt.
Thank You