Bathroom tile shower wall?

I have a shower cabinet that u hang on the shower wall. In my old place was regular drywall. I moved to my new place That has tile walls, I used the mounting tape as well as calk. It lasted for one day. The cabinet is small it holds a shampoo, conditioner and body wash, as well as 2 small spaces to put toothbrushes razors or small items the whole thing weights about 10 lbs, when other items are put on. The self adhesive tape got wet, n calk wad gooey. What will hold on tile?