Amazon Front End Engineer I interview questions

Have you ever provided a customer with a different but better solution?

What is the best deal for the product given the tree-like data structure (e.g. Root -> Clothes -> Shorts -> Blue -> M) and a product where each category/product may have it's own deal. So in the example above if category Clothes have 15% discount and Blue Shorts M have 10% discount the output should be 15%.

Find the least common ancestor of the deal with the structure similar to the above given a tree and two products