Question : A batsman scored 120 runs, which included 4 sixes and 6 fours. What percentage of his total score did he make by running between the wickets (runs that were scored only by running between the wickets and not by hitting fours and sixes)?
Option 1: 30%
Option 2: 50%
Option 3: 60%
Option 4: 40%
Correct Answer: 60%
Solution :
The runs scored by hitting sixes and fours are,
Sixes: 4 sixes × 6 runs/six = 24 runs
Fours: 6 fours × 4 runs/four = 24 runs
So, the total runs scored by hitting sixes and fours = 24 + 24 = 48 runs
The runs made by running between the wickets are the total runs minus the runs from sixes and fours= 120 – 48 = 72 runs
The percentage of his total score made by running between the wickets $= \frac{\text{Runs made by running}}{\text{Total runs}}$ × 100%
$= \frac{72}{120}$ × 100 = 60%
Hence, the correct answer is 60%.
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