Question

A cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was........

• A. 64
• B. 72
• C. 80
• D. 85

Answer 1

Answer: (D)

85

average = 12.4 runs per wicket,
Let's assume total number of wickets taken by him till the last match=x
total number of runs taken by him till the last match=y
$y/x=12.4$
$y=12.4x$(y+26)/(x+5)=1212.4x+26=12x+600.4x=34x=85$
The number of wickets taken by him till the last match =85
Answer (D) 85