Quantitative Aptitude Ques 2256
Question: 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) 64
B) 72
C) 80
D) 96
Show Answer
Answer:
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 $