Multiple ranking

What I am trying to do is give the rank in column D based on the values in columns B and C. Some of the values in column B will have then same rank, and as such I want to add further criteria on which to rank them. I would first like to rank the values in column B and then rank the values in column C, which should give the rank in column D. For example Dog and Frog have the same value of 400 from the Non UK column. Therefore, rather than having these as both rank 1, I want them to be ranks 1 and 2, so want to add another criteria (UK). As Dog is greater than Frog in the UK (i.e. 10>7), I would like to rank Dog as 1 and Frog as 2. Goat will be ranked as 3 because it had the thrid highest value in the Non UK. I would be greatful for any suggestions.

Thanks

A B C D
1 Non UK UK Rank
2 Cat 200 5 5
3 Dog 400 10 1
4 Eel 200 11 4
5 Frog 400 7 2
6 Goat 300 2 3