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

'reduce' is the definition.
Both the definition and answer 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 understand how this works, but
'a' is found in 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 found within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?