Question

The average score of a cricketer in his 10 innings is 45 runs. If he has scored 70 runs in another 3 innings, then the average score of the player is

• A. 38 runs
• B. 40 runs
• C. 42 runs
• D. 44 runs

Hint:

When calculating new averages, find total sums first, then divide by the total number of items.

Answer 1

The Correct Option is B

Step 1: Understand the average concept
Average score = Total runs scored / Number of innings played.
Step 2: Calculate total runs in first 10 innings
Average in first 10 innings = 45 runs, so total runs = \( 10 \times 45 = 450 \) runs.
Step 3: Calculate total runs after 13 innings
Runs scored in next 3 innings = 70 runs.
Total runs after 13 innings = \( 450 + 70 = 520 \) runs.
Step 4: Calculate new average
New average \( = \frac{520}{13} = 40 \) runs.
Step 5: Conclusion
The average score after 13 innings is 40 runs.