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 |
A) 64
B) 72
C) 80
D) 96
Correct Answer: C
Solution :
Let the number of wickets taken till the last match be n. |
\[\therefore \]Total runs at 24.85 runs per wicket = 24.85 n |
Total runs after the current match \[=24.85\,n+52\] |
Total number of wickets after the current match \[=n+5\] |
Bowling average after the current match |
\[=\,\,\frac{24.85\,n+52}{n+5}=24.85-0.85\] |
\[\Rightarrow \] \[\frac{24.85\,n+52}{n+5}=24\] |
\[\Rightarrow \] \[24.85\,n+52=24\,n+120\] |
\[\Rightarrow \] \[0.85\,n=120-52\]\[\Rightarrow \]\[n=\frac{68}{0.85}=80\] |
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