Hi@akhtar,
The Elastic IP address doesn't incur charges as long as following conditions are true.
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The Elastic IP address is associated with an ec2 instance.
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The instance associated with the Elastic IP address is running.
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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