A batsman makes a score of 84 runs in the 21^st inning and thus increases his average by 2 runs. His average after 21^st inning is-

A. 24

B. 34

C. 44

D. 54

Answer: Option C

Solution(By Examveda Team)

Let the average for 20 innings be x
$$\eqalign{ & \therefore \frac{{20x + 84}}{{21}} = x + 2 \cr & \Rightarrow 20x + 84 = 21x + 42 \cr & \Rightarrow x = 42 \cr} $$
∴ Average after 21st innings
= 42 + 2
= 44