Crossword Genius

Former PM, having no answer, ruined (4)

Ross

I believe the answer is:

sunk

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'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 found within the answer.
The remaining letters 'suk' is a valid word which might be clued in a way I don't see.
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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