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The PC world diagnosis is that the power input has come from the mother board.£250.
OUCH!. Well I guess they have to pay for those expensive TV commercials somehow.
Do they mean that the power input jack / socket on the back of the motherboard has come loose / adrift?
If so, £250 is a lot of money to just splash a bit of solder over a few contacts. I once had a laptop which died in the same manner, I took the motherboard out and refitted the jack socket along with some epoxy resin underneath to help hold it to the PCB, I must admit they do look very flimsy and I would imagine that this is pretty common when plugging / unplugging the power jack.
Its not a difficult job, but the process of stripping down the laptop and carefully marking the screws and fitment is pretty labourious and its time consuming to actually get to the part in order to repair it. I would imagine that this labour content is where the money is being charged.
Even so, £250 is steep. Personally, i'd get a second quotation from a much smaller back street entity. Check Yell or even your local paper for adverts for computer repairs nearby, these small traders and one man bands are nearly always cheaper than high street outlets - no adverts to pay for, no staff overheads etc. I would say that £80 - £90 would be more nearer the mark, its about 2 hours labour from my own experience.
In the worst case scenario, if you can get a similar laptop or one of the same (motherboard) model and using the same hard drive fitment (SATA / IDE), you should be able to take the old laptop hard drive, and just fit it to the new one. You might need to delete some drivers and replace them with new ones, but at least it will boot and your software and music collection will still be intact.