A cricketer had a certain average of runs for his 64 innings. In his 65th inning, he is bowled out for no score on his part. This brings down his average by 2 runs. Then what is his new average of runs ?

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  1. 170
  2. 168
  3. 130
  4. 128

Answer (Detailed Solution Below)

Option 4 : 128
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Given:

A cricketer had a certain average of runs for his 64 innings. In his 65th inning, he is bowled out for no score on his part. This brings down his average by 2 runs. Then what is his new average of runs?

Formula used:

Let the original average be x runs.

Total runs in 64 innings = 64x

New average after 65th inning = x - 2 runs

Total runs in 65 innings = 65(x - 2)

Calculation:

64x = 65(x - 2)

⇒ 64x = 65x - 130

⇒ 130 = 65x - 64x

⇒ 130 = x

New average = x - 2

⇒ New average = 130 - 2

⇒ New average = 128

∴ The correct answer is option (4).

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