Let's analyze the problem step-by-step.
Given:
- Total runs scored by the batsman = 110 runs
- Boundaries (4 runs each) = 3
- Sixes (6 runs each) = 8
Step 1: Calculate runs from boundaries and sixes
- Runs from boundaries = 3 × 4 = 12 runs
- Runs from sixes = 8 × 6 = 48 runs
Step 2: Calculate total runs from boundaries and sixes
Total boundary and six runs = 12 + 48 = 60 runs
Step 3: Calculate runs made by running between the wickets
Runs by running = Total runs - Runs from boundaries and sixes
Runs by running = 110 - 60 = 50 runs
Step 4: Calculate the percentage of runs made by running
Percentage = (Runs by running / Total runs) × 100
Percentage = (50 / 110) × 100 ≈ 45.45%
Final answer:
The batsman made approximately 45.45% of his total score by running between the wickets.