I know what the prices were last summer there, because I was in Crimea last summer and I know what the prices really were. Some of them were really lower, especially strong alcohol beverages, some of them slightly lower - such as sausages and meat, some of them were about as high as in Russia, such as bread, some of them were in fact higher - that is dairy products. If they have risen twice by now, they should be far higher than those in continental Russia now.
If you don't believe me, here is an old link to an article dated by 2009.
Цены в Крыму растут к лету
As you can see, the prices in Crimea were not very lower than in Russia even then especially in summer: