The average score of a cricketer for 10 matches is 38.9 runs .If the average for the first 6 matches is 41. What is the average for last 4 matches ?

Options

A. 36.25
B. 34.25
C. 35.75
D. 32.85

Answer

To find the average score of the last 4 matches, we can follow these steps:

### Step 1: Calculate the total score for all 10 matches.
The average score for 10 matches is given as 38.9 runs. To find the total score, we multiply the average by the number of matches.

\[ \text{Total score for 10 matches} = \text{Average} \times \text{Number of matches} = 38.9 \times 10 = 389 \text{ runs} \]

### Step 2: Calculate the total score for the first 6 matches.
The average score for the first 6 matches is given as 41 runs. Similarly, we calculate the total score for these matches.

\[ \text{Total score for the first 6 matches} = \text{Average} \times \text{Number of matches} = 41 \times 6 = 246 \text{ runs} \]

### Step 3: Calculate the total score for the last 4 matches.
To find the total score for the last 4 matches, we subtract the total score of the first 6 matches from the total score of all 10 matches.

\[ \text{Total score for the last 4 matches} = \text{Total score for 10 matches} - \text{Total score for the first 6 matches} = 389 - 246 = 143 \text{ runs} \]

### Step 4: Calculate the average score for the last 4 matches.
Now that we have the total score for the last 4 matches, we can find the average by dividing the total score by the number of matches.

\[ \text{Average score for the last 4 matches} = \frac{\text{Total score for the last 4 matches}}{\text{Number of matches}} = \frac{143}{4} = 35.75 \text{ runs} \]

### Final Answer:
The average score for the last 4 matches is **35.75 runs**.

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