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SXMScubaman said:
It appears on the bill, that is shown by the OP, that it was not yet charged or run through the CC machine. So why couldn't he just increase the amount before its run through?

??... What are you talking about? are we mixing up everything here from one poster to another? I don't see anything on the OP picture about "no tip on CC" do you? I see "service non compris".... two different topics!
But trying to answer, (and I may misunderstood your point or question..) If a client want to increase the amount before the CC being run, I honestly don't see it feasible for the reason that what ever is being charge on the CC goes on the account of the business and is accountable as "business income" by the French Tax department. Business cannot be liable for Taxes and social charges and other government take away on tips to the staff.