A batsman scored 160 runs in a cricket match. He hit 24 fours and 8 sixes during his innings. What percentage of his runs were in boundaries?
90
Understanding Cricket Runs and Boundaries
This problem asks us to find out what percentage of a batsman's total runs came from hitting boundaries, specifically fours and sixes.
A boundary is when the ball crosses the boundary rope. A 'four' results in 4 runs, and a 'six' results in 6 runs.
Given Information:
- Total runs scored by the batsman = 160 runs
- Number of fours hit = 24
- Number of sixes hit = 8
Calculating Runs from Boundaries
First, we need to calculate the total runs scored just from boundaries (fours and sixes).
Runs from Fours:
Each four gives 4 runs. To find the total runs from fours, we multiply the number of fours by 4.
Runs from fours = Number of fours × 4
Runs from fours = 24 × 4 = 96 runs
Runs from Sixes:
Each six gives 6 runs. To find the total runs from sixes, we multiply the number of sixes by 6.
Runs from sixes = Number of sixes × 6
Runs from sixes = 8 × 6 = 48 runs
Total Runs from Boundaries:
The total runs from boundaries is the sum of runs from fours and runs from sixes.
Total runs from boundaries = Runs from fours + Runs from sixes
Total runs from boundaries = 96 + 48 = 144 runs
Calculating the Percentage of Runs from Boundaries
To find the percentage of total runs that were scored in boundaries, we use the following formula:
\(\text{Percentage of boundary runs} = \left( \frac{\text{Total runs from boundaries}}{\text{Total runs scored}} \right) \times 100\)
Now, we substitute the values we have:
Total runs from boundaries = 144 runs
Total runs scored = 160 runs
Let's perform the calculation:
\(\text{Percentage of boundary runs} = \left( \frac{144}{160} \right) \times 100\)
\(\text{Percentage of boundary runs} = 0.9 \times 100\)
\(\text{Percentage of boundary runs} = 90\)
So, 90% of the batsman's runs were scored in boundaries.
Final Answer Summary
The batsman scored 144 runs out of his total 160 runs from boundaries. This represents 90% of his total score.
The final answer is 90%.
Revision Table: Cricket Runs Calculation
| Metric | Calculation/Value |
|---|---|
| Total Runs Scored | 160 |
| Number of Fours | 24 |
| Runs from Fours | 24 × 4 = 96 |
| Number of Sixes | 8 |
| Runs from Sixes | 8 × 6 = 48 |
| Total Runs from Boundaries | 96 + 48 = 144 |
| Percentage from Boundaries | \(\left( \frac{144}{160} \right) \times 100 = 90\%\) |
Additional Information: Understanding Cricket Scoring
In cricket, runs can be scored in several ways:
- Hitting Boundaries: Hitting a four (ball bounces before boundary) or a six (ball crosses boundary without bouncing). These are quick ways to add runs.
- Running Between Wickets: Batsmen can run singles, doubles, triples, or more by running between the wickets after hitting the ball, before the fielders return it.
- Extras: Runs can also be added to the score without the batsman hitting the ball. These are called 'extras' and include things like wides, no-balls, byes, and leg byes.
Analyzing how a batsman scores their runs can give insights into their playing style (e.g., aggressive boundary hitter vs. accumulator who focuses on singles).
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