Crossword Genius

What could provide reductions to shopper primarily? (8,5)

Ross

I believe the answer is:

discount store

'what could provide reductions to shopper primarily?' is the definition.
I can't tell whether this definition defines the answer.

'could provide reductions to shopper primarily?' is the wordplay.
'could provide' is an anagram indicator (the word provides the required letters).
'primarily?' says to take the initial letters (I've seen 'primarily' mean this).
The first letter of 'shopper' is 's'.
'reductions'+'to'+'s'='reductionstos'
'reductionstos' is an anagram of 'DISCOUNT STORE'.

(Other definitions for discount store that I've seen before include "Shop offering goods at reduced prices" , "place with low prices" , "retail outlet" .)

I've seen this clue in The Times.
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