Answer is (A).

Rephrase the DS question:

Is R>W?

Lets look at A

Is am assuming this r/b+w > w/b+r means r/(b+w) > w/(b+r )

r/(b+w) > w/(b+r )
rb+r^2>bw+w^2
rb-bw>w^2-r^2
b(r-w)>(w-r)(w+r)

if (r-w)>0 then b>(w-r)(w+r)/(r-w) or b>-(w+r)
if (r-w)<0 then b<(w-r)(w+r)/(r-w) or b<-(w+r)

A is insufficient

Lets look at B now

b-w>r
or b>r+w

B is insufficient

If we take both A and B then we know that r-w>0 or r>w and hence C is sufficient

If condition 1 means: (r/b)+w > (w/b)+r then 100% (A) is alone sufficient, however if it means r/(b+w) > w/(b+r) then ans is (C).

Dferm, what is the correct question? I guess in future, at least you can take of to post the question in correct format.

Thanks