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 $