Rs. 33630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is -

Explanation:-

$$\eqalign{ & {\text{A}}:{\text{B}} = 3:7, \cr & {\text{B}}:{\text{C}} = 6:5, \cr & = \left( {6 \times \frac{7}{6}} \right):\left( {5 \times \frac{7}{6}} \right) \cr & = 7:\frac{{35}}{6}. \cr & {\text{A}}:{\text{B}}:{\text{C}} = 3:7:\frac{{35}}{6} \cr & = 18:42:35. \cr & {\text{Sum of ratio terms}} \cr & = \left( {18 + 42 + 35} \right) \cr & = 95 \cr & \therefore {\text{B's share}} = \cr & {\text{Rs}}{\text{.}}\left( {33630 \times \frac{{42}}{{95}}} \right) \cr & = {\text{Rs}}{\text{. }}14868. \cr}$$