$\bar{x}$ and $\bar{y}$ are the arithmetic means of the runs of two batsmen $A$ and $B$ in $10$ innings respectively,and $\sigma_{A}$ and $\sigma_{B}$ are the standard deviations of their runs. If batsman $A$ is more consistent than $B$,then he is also a higher run scorer only when

• A
  $0 < \frac{\sigma_{A}}{\sigma_{B}} < \frac{\bar{x}}{\bar{y}}$ and $\frac{\bar{x}}{\bar{y}} > 1$
• B
  $\frac{\bar{x}}{\bar{y}} > \frac{\sigma_{A}}{\sigma_{B}} > 1$
• C
  $\frac{\bar{x}}{\bar{y}} < \frac{\sigma_{A}}{\sigma_{B}} > 1$
• D
  $\frac{\bar{x}}{\bar{y}} > 1$ and $1 \leq \frac{\bar{x}}{\bar{y}} < \frac{\sigma_{A}}{\sigma_{B}}$