Question

A batsman scored $110$ runs which included $3$ boundaries and $8$ sixes. What per cent of his total score did he make by running between the wickets?

Answer 1

Finding the percentage of runs scored by running:

Total runs scored by batsman is $=110$

Runs scored by batsman through boundaries is $=3\times 4=12$.

Runs scored by batsman through sixes is $=8\times 6=48$.

Total Runs scored by batsman through boundaries and sixes is $=12+48=60$

Therefore, runs scored by batsman through running is $=110-60=50$

Therefore, percentage of runs scored by running $\begin{array}{rcl}& & \mathrm{=}\frac{\mathrm{Total}\mathrm{runs}\mathrm{scored}\mathrm{by}\mathrm{running}\mathrm{between}\mathrm{the}\mathrm{wickets}}{\mathrm{Total}\mathrm{runs}\mathrm{scored}\mathrm{by}\mathrm{batsman}}\times 100\end{array}$

$\begin{array}{rcl}& =& \frac{50}{110}\times 100\\ & =& \frac{500}{11}\\ & =& 45\frac{5}{11}\%\end{array}$

Hence, percentage of runs scored by running is $45\frac{5}{11}\%$.