When I send a text message on my mobile phone and receive a notification from the other party, is there any charge for this?

It’s free. Almost every mobile phone has this function, so don’t worry.

The information report is generally just a notification that there was no error during the sending of the text message. It does not mean that the other party has received it. Depending on the phone model, if the other party has turned off the phone, the information report will not be received until it is turned on.