In short, homeopathy is based on two principles:
1) Like cures like
2) Dilutions make the substance stronger
In pursuit of point two, there is a known scientific limit. The Avogadro limit effectively counts the number of molecules in one cc of water, and limits dilutions to approx 6 with 23 zeros. Thus any 24x solution or greater cannot have a more than a single molecule of active ingredient in it, and as we get to 30X, for instance, the chances of that one molecule being there in any particular pill are lottery level. This spawned a third principle:
3) Even though there is no active ingredient, the water or alcohol of the solution retains a memory of the substance that was once there.
Well. it may be hokey, but you can't dispove it, right? WRONG! Follow the link in the title of this post, and we can finally effectively PROVE that homeopathic dilutions do not remember anything.
Therefore, when you buy these products, you are buying a pill made of water, alcohol, saline, sucrose or whatever the solution base was, AND NOTHING ELSE. Please compare price accordingly.