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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
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- 64
- 72
- 80
- 85
- 64
Correct Option: D
Let required number of wickets = n
According to question,
⇒ 12.4 × n + 26 = (n + 5) (12.4 – 0.4)
⇒ 12.4 × n + 26 = (n + 5) × 12
⇒ 12.4n + 26 = 12n + 60
⇒ 12.4n – 12n = 60 – 26
⇒ 0.4n = 34
⇒ n = 34 ÷ 0.4
| ∴ n = | = 85 | |
| 4 |
