Sorry for the complicated question title, it was very difficult to phrase.
According to PFSRD, when crafting an item you first must pay 1/3 of the raw material cost. Following that, you must make a check to see if you successfully craft the item and how long doing so will take. If your check x the DC beats the cost of the item (in sp), then the item is made within that week of crafting.
My question is: To craft the item within at least one week, does your check need to beat the original sp cost of the raw materials? Or the cost after you have already paid 1/3?