If Rs.1066 are divided among A, B, C and D such that A : B = 3 : 4, B : C = 5 : 6 and C : D = 7 : 5, Who will get the maximum ?

Solution(By Examveda Team)

$$\eqalign{ & {\text{A}}:{\text{B}} = {\text{3}}:{\text{4}}, \cr & {\text{B}}:{\text{C}} = {\text{5}}:{\text{6}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {5 \times \frac{4}{5}} \right):\left( {6 \times \frac{4}{5}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 4:\frac{{24}}{5} \cr & {\text{C}}:{\text{D}} = {\text{7}}:{\text{5}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {7 \times \frac{{24}}{{35}}} \right):\left( {5 \times \frac{{24}}{{35}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{24}}{5}:\frac{{24}}{7} \cr & \therefore {\text{A}}:{\text{B}}:{\text{C}}:{\text{D}} \cr & = 3:4:\frac{{24}}{5}:\frac{{24}}{7} \cr & = 105:140:168:120 \cr} $$
Clearly, C will get the maximum