Pandas rank by multiple columns

The generic way to do that is to group the desired fiels in a tuple, whatever the types.

df["Rank"] = df[["SaleCount","TotalRevenue"]].apply(tuple,axis=1)\
             .rank(method='dense',ascending=False).astype(int)

df.sort_values("Rank")

   TotalRevenue        Date  SaleCount shops  Rank
1          9000  2016-12-02        100    S2     1
5          2000  2016-12-02        100    S8     2
3           750  2016-12-02         35    S5     3
2          1000  2016-12-02         30    S1     4
7           600  2016-12-02         30    S7     5
4           500  2016-12-02         20    S4     6
9           500  2016-12-02         20   S10     6
0           300  2016-12-02         10    S3     7
8            50  2016-12-02          2    S9     8
6             0  2016-12-02          0    S6     9

pd.factorize will generate unique values for each unique element of a iterable. We only need to sort in the order we'd like, then factorize. In order to do multiple columns, we convert the sorted result to tuples.

cols = ['SaleCount', 'TotalRevenue']
tups = df[cols].sort_values(cols, ascending=False).apply(tuple, 1)
f, i = pd.factorize(tups)
factorized = pd.Series(f + 1, tups.index)

df.assign(Rank=factorized)

         Date  SaleCount  TotalRevenue shops  Rank
1  2016-12-02        100          9000    S2     1
5  2016-12-02        100          2000    S8     2
3  2016-12-02         35           750    S5     3
2  2016-12-02         30          1000    S1     4
7  2016-12-02         30           600    S7     5
4  2016-12-02         20           500    S4     6
9  2016-12-02         20           500   S10     6
0  2016-12-02         10           300    S3     7
8  2016-12-02          2            50    S9     8
6  2016-12-02          0             0    S6     9