If Rs. x are divided between A and B in the ratio $$\frac{{\text{a}}}{{\text{b}}}$$ : $$\frac{{\text{c}}}{{\text{d}}}{\text{,}}$$ then A gets rupees -

$$\eqalign{ & {\text{A}}:{\text{B}} = \frac{a}{b}:\frac{c}{d} \cr & = \left( {\frac{a}{b} \times bd} \right):\left( {\frac{c}{d} \times bd} \right) \cr & = ad:bc \cr & \therefore {\text{A's share}} \cr & = Rs.\left( {\frac{{adx}}{{ad + bc}}} \right) \cr} $$