A batsman score 130 runs which include 4 sixes and 5 fours, what is the difference between the percentages of total runs he made while running between the wickets and sixes?

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  1. 45
  2. 57
  3. 29
  4. 48

Answer (Detailed Solution Below)

Option 4 : 48
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Formula Used:

Total runs from sixes = Number of sixes × 6

Total runs from fours = Number of fours × 4

Total runs from boundaries = Total runs from sixes + Total runs from fours

Runs while running = Total runs - Total runs from boundaries

Percentage of runs while running = (Runs while running / Total runs) × 100

Percentage of runs from sixes = (Total runs from sixes / Total runs) × 100

Calculation:

⇒ Total runs from sixes = 4 × 6 = 24

⇒ Total runs from fours = 5 × 4 = 20

⇒ Total runs from boundaries = 24 + 20 = 44

⇒ Runs while running = 130 - 44 = 86

⇒ Percentage of runs while running = (86 / 130) × 100 ≈ 66.15%

⇒ Percentage of runs from sixes = (24 / 130) × 100 ≈ 18.46%

∴ Difference between percentages = 66.15% - 18.46% = 47.69% ≈ 48%

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