It could be worth looking through the Argos eBay site. Argos eBay.
Many are described as refurbished but I believe in most cases they are open box returns. Stock changes quite frequently but today there is a Sony Vaio Sony Vaiothat meets your criteria, just £6 over budget, and also a Toshiba. Toshiba C855. Just two examples and they have the benefit of twelve months warranty.
With the Tesco Outlet refurbished unit, take note about the battery guarantee, because these can be expensive to replace.
The other point worth considering is that the refurbishment might have been done by a third party repairer of Tesco choosing, and not Toshiba who might not want to become involved if the laptop should fail?.
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