A cricketer whose bowling average is 24.85 runs per wickets, takes 5 wickets for 52 runs in next inning and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was :

A. 75

B. 85

C. 80

D. 96

Answer: Option B

Solution(By Examveda Team)

Let the number of wickets = x
According to question,
⇒ 24.85x + 52 = 24 (x + 5)
⇒ 24.85 x + 52 = 24x + 120
⇒ 0.85x = 68
⇒ x = $$\frac{69 × 100}{85}$$
⇒ x = 80
Number of wickets till the last match is
= x + 5
= 80 + 5
= 85