The average runs scored by a batsman in 23 matches is 43. In the next 10 matches, the batsman scored an average of 14 runs. Find his average runs scored (rounded off to two decimal places) in all the 33 matches.

Correct option is B

Given:

Average of first 23 matches = 43

Average of next 10 matches = 14

Find the overall average of 33 matches.

Concept Used:

Overall average = $$\frac{\text{Total runs scored}}{\text{Total matches}}$$​​

Solution:

Total runs = 23 × 43 + 10 × 14 

= 989 + 140 

= 1129 

Overall average = $$\frac{1129}{33} = 34.2121\ldots$$​​

= 34.21 

Alternate Solution(Exam trick): ​