SUMIF not strikethrough
Cell formatting can not be used as a criteria on spreadsheet formulas as there's no formulas (AFAIK) that can grab a cell formatting.
It would be much easier if you'd have another column where you marked your values with a cell value change, like 'yes/no' or an 'x'.
You can do it in Apps Script. But relying in formatting to make calculations in Apps Script is tricky. I recommend have a menu triggered function that grabs the "strikethrough" format and generate a 'yes/no' column so you can use in regular formulas like SumIf
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Answer is here: http://igoogledrive.blogspot.ca/2012/09/user-defined-function-to-sum-all.html