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remove lines that is newer than the given date in a file

I'm stuck on how I can go about deleting lines that are newer than given date. Here is a snippet of contents of a file.

buildsave.txt
647919 2013/11/30
647946 2013/11/30
647955 2013/12/01
648266 2013/12/03
648267 2013/12/03
648674 2013/12/04

I would like to remove the lines that are newer than 2013/12/03 leaving only

647919 2013/11/30
647946 2013/11/30
647955 2013/12/01

How can this be done through bash?