In an innings of a cricket match, three players A, B and C scored a total of 361 runs. If the ratio of the number of runs scored by A to that scored by B and also number of runs scored by B to that scored by C be 3 : 2, the number of runs scored by A was -

$$\eqalign{ & {\text{A}}:{\text{B}} = 3:2 \cr & {\text{B}}:{\text{C = }}3:2 \cr & = \left( {3 \times \frac{2}{3}} \right):\left( {2 \times \frac{2}{3}} \right) \cr & = 2:\frac{4}{3} \cr & {\text{A}}:{\text{B}}:{\text{C}} = 3:2:\frac{4}{3} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 9:6:4 \cr & \therefore {\text{A's score}} = \left( {361 \times \frac{9}{{19}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 171 \cr} $$