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
Options:
A . 72
B . 85
C . 64
D . 80
Answer: Option B Answer: (b)Required number of wickets = x (let) According to question, 12.4 × x + 26 = (x + 5) (12.4 – 0.4) = (x + 5) × 12 ⇒ 12.4x + 26 = 12x + 60 ⇒ 12.4x – 12x = 60 – 26 ⇒ 0.4x = 34 ⇒ x = $34/{0.4}$ = $340/4$ = 85
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