Reduce a price to make yourself look good (3,1,6)

'reduce' is the definition.
Both the answer and definition are verbs in their base form.
Maybe they are linked in a way I don't understand?

'a price to make yourself look good' is the wordplay.
I cannot quite see how this works, but
'a' is within the answer.
'price' could be 'cut' (cut price is a kind of price) and 'cut' is present in the answer.
'good' could be 'g' (abbreviation) and 'g' is present in the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?