>
> atthika also means; profit, benefit.
>litterally: they say profit--speech.

Do you mean that along the following lines?

If a philosopher in this sort of context says 'a gift exists',
_dinnam atthi_, that means that a gift, as an act with positive
karmic consequences, exists. (an appropriate theme this week, since
it's almost Christmas) Which amounts to saying that there is a profit
or benefit to the act of giving. Similarly, if you say 'a mother
exists' _maataa atthi_, that implies that it really is beneficial to
treat one's mother respectfully. (which reminds me, I should call
mine on the phone)

So atthika comes from atthi (it exists, < skrt asti), not from
(attha< skrt 'artha')The sense of 'profit' here, is not the literal
meaning, but is implied by the philosophical conventions being used
by Ajito Kesakambalii?

It's a bit tricky since the two sanskrit words 'arthika' and
'aastika' both coalesce in pali into the same form, atthika.