\left\{ \begin{array} { l } { \frac { A } { B } \times \frac { C } { 100 } > \frac { A } { B } \times \frac { D } { 100 } } \\ { C + D = 100 } \end{array} \right.
Solve for D
D=100-C
\left(B<0\text{ and }A>0\text{ and }C<50\right)\text{ or }\left(B<0\text{ and }C>50\text{ and }A<0\right)\text{ or }\left(A>0\text{ and }C>50\text{ and }B>0\right)\text{ or }\left(C<50\text{ and }A<0\text{ and }B>0\right)
Solve for C
C=100-D
\left(B<0\text{ and }A<0\text{ and }D<50\right)\text{ or }\left(B<0\text{ and }D>50\text{ and }A>0\right)\text{ or }\left(A<0\text{ and }D>50\text{ and }B>0\right)\text{ or }\left(D<50\text{ and }A>0\text{ and }B>0\right)
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