A cricketer whose bowling average is 24.85, runs per wicket,

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

1. 64
2. 72
3. 80
4. 96

Correct Option: C

Let the no. of wickets taken till the last match be n.
∴ Total runs at 24.85 runs per wicket = 24.85n
Total runs after the current match = 24.85n + 52
Total no. of wickets after the current match = n + 5
Bowling Average after the current match

⇒	24.85n + 52	= 24.85 - 0.85
	n + 5

∴	24.85n + 52	= 24
	n + 5

⇒ 24.85n + 52 = 24n + 120
⇒ 0.85n = 120 – 52

⇒ n =	68	= 80
	0.85