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 = ?

A. 171

B. 181

C. 185

D. 161

Answer: Option A

Solution(By Examveda Team)

Given total runs of A, B, C
(A + B + C = 361)
$$\eqalign{ & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr & \,\,\,\,\,\,\,\,\,3:2 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,3:2 \cr & \underline {\overline {\,\,\,\,\,\,\,\,\,\,9:6:4{\text{ }}} } \cr & \therefore 9x + 6x + 4x = 361 \cr & \Rightarrow 19x = 361 \cr & \Rightarrow x = 19 \cr & \therefore {\text{Runs scored by A }} \cr & = 9x \cr & = 9 \times 19 \cr & = 171 \cr} $$