A bowler gives 15.2 runs per wicket. He gives 32 runs and takes 4 wickets in a last match after which his average becomes 14.4 runs per wicket. How many wickets had been taken by him before the last match?

A bowler gives 15.2 runs per wicket. He gives 32 runs and takes 4 wickets in a last match after which his average becomes 14.4 runs per wicket. How many wickets had been taken by him before the last match? Correct Answer 32

GIVEN:

Bowling average = 15.2 runs per wicket

Last match performance = giving 32 and takes 4 wickets

New average = 14.4 runs per wicket

FORMULA USED:

Bowling average = Total runs conceded/Total wicket taken

CALCULATION:

Let the total number of wickets be x

Then, bowling average = 15.2

Runs conceded = 15.2 x

Now, (15.2 x + 32)/(x + 4)= 14.4

15.2 x + 32 = 14.4 (x + 4)

15.2 x + 32 = 14.4 x + 57.6

0.8 x = 57.6 – 32