It's rare for a resistor to fail spontaneously - the usual case for a burnt out resistor is some other component failing - a short perhaps - a resistor in the same circuit then has to take more current than it's designed to take - and it burns out. Your burnt out resistor may well be a symptom of another fault rather than the fault itself.
As for the cost of repair - a good tool shop may be able to advise.
Peccavi
May 2011
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