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 :
Options:
A . 72
B . 96
C . 64
D . 80
Answer: Option D Answer: (d)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 ⇒ ${24.8n+52}/{n+5}$ = 24.85 – 0.85∴ ${24.8n+52}/{n+5}$ = 24or 24.85n + 52 = 24n + 120 or 0.85n = 120 – 52 or n = $68/{0.85}$ = 80
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