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 last match was:
1). 64
2). 72
3). 80
4). 96
Let initial wickets taken be x
Total runs = 24.85x
New average = 24.85 - 0.85 = 24
Total wickets = x + 5
Total runs = 24(x + 5)
24(x + 5) - 24.85x = 52 ⇒ 80
Total initial wickets taken = 80