A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points the team scored was

Options

A. 672
B. 665
C. 645
D. 588

Answer

To solve the problem step by step, we will follow the information provided in the question.

### Step 1: Understand the given information
We have a team of 8 persons, and the best marksman scored 85 points. If he had scored 92 points, the average score of the team would have been 84.

### Step 2: Calculate the total score if the best marksman scored 92 points
If the best marksman scored 92 points, the average score for the team would be 84. The total score for the team can be calculated using the formula for average:

\[ \text{Average} = \frac{\text{Total Score}}{\text{Number of Persons}} \]

Rearranging this formula gives us:

\[ \text{Total Score} = \text{Average} \times \text{Number of Persons} \]

Substituting the values we have:

\[ \text{Total Score} = 84 \times 8 = 672 \]

### Step 3: Determine the increase in score
The best marksman's score increased from 85 points to 92 points, which is an increase of:

\[ 92 - 85 = 7 \text{ points} \]

### Step 4: Calculate the initial total score of the team
Since the total score with the marksman scoring 92 points is 672, we need to subtract the increase in points from this total to find the initial total score when he scored 85 points:

\[ \text{Initial Total Score} = 672 - 7 = 665 \]

### Conclusion
The total score of the team when the best marksman scored 85 points is **665**.

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