Crossword Genius

Former PM, having no answer, ruined (4)

Ross

I believe the answer is:

sunk

I'm a little stuck... Click here to teach me more about this clue!

'ruined' is the definition.
(I know that ruined can be written as sunk)

'former pm having no answer' is the wordplay.
I cannot quite understand how this works, but
'no' could be 'n' (common abbreviation) and 'n' is located in the answer.
The remaining letters 'suk' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for sunk that I've seen before include "ruined" , "Doomed - bored" , "Sent to bed" , "(Has) disappeared beneath the waves" , "Dropped; in a fix" .)

I've seen this clue in The Times.
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