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D is sufficient

Option A, r(r-c)/(r-c)(r+c) >. c(r+c)/(r+c)^2
if (r-c) is not equal to 0 and (r+c) is not equal to 0,

r/(r+c) > c/(r+c)
which is 1/(r+c) (r-c)>0.... which gives r>c

sufficient

Option B, r/(r+c+p)> c/(r+c+p)
if r+c+p is not equal to 0,

1/(r+p+c) (r-c)>0,
which means r>c,
sufficient
Hence D is the answer
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D.

Since we can assume r and c would be positive, solving statement 1 gives r>c. The second statement introduces a constant to both sides and it can be concluded that r>c.
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Posted from my mobile device

Answer choice: D. Details please see in the file attached
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Hi gmatbusters,

I am not able to get how we can get answer from option 2, could you please assist me.
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Gmatprep550 substitute some values

r=1
c=2
p=3

\(\frac{r}{(r+c)}<\frac{c}{(r+c)}\)
\(\frac{1}{3}<\frac{2}{3}\)

\(\frac{r}{(r+c+p)}<\frac{c}{(r+c+p)}\)
\(\frac{1}{6}<\frac{2}{6}\)
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