The bowling average of bowler is 12.4 runs per wicket. He takes 10 wickets in his next inning by giving 52 runs, due to this his bowling average improved by 0.4 runs per wicket. Find the total number of wickets taken by him at present.

180

Let the total no. of wickets taken by him = N

No. of runs given by the bowler after this match

                 = (N-10) × 12.4 + 52

                 = 12.4N - 124 + 52

                 = 12.4N - 72

Average of bowler after match = \(\frac{12.4N - 72}{N}\)

ATQ, average of bowler after the match = 12.4 - .4 = 12

                           \(\frac{12.4N - 72}{N}\) = 12

                                                             N  = 180