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?

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Solution

## Finding the percentage of runs scored by running:Total runs scored by batsman is $=110$Runs scored by batsman through boundaries is $=3×4=12$.Runs scored by batsman through sixes is $=8×6=48$.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}}×100\end{array}$$\begin{array}{rcl}& =& \frac{50}{110}×100\\ & =& \frac{500}{11}\\ & =& 45\frac{5}{11}%\end{array}$Hence, percentage of runs scored by running is $45\frac{5}{11}%$.

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