Question

A cricketer had a certain average of runs for his 50 innings. In his 51th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is:

1. 101
2. 102
3. 100
4. 104

Answer 1

Correct Answer - Option 3 : 100

Given:

A cricketer had a certain average of runs for his 64 innings

In his 65th innings, he is bowled out for no score on his part

This brings down his average by 2 runs

Formula used:

Average = sum of the observation/number of observation

Calculation:

Let the average of 50 innings be P

⇒ P = Sum of the 50 innings/50

⇒ Sum of the 50 innings = 50P

According to question Average is down by 2 runs

So, new average is (P – 2)

And total innings 51

⇒ (P – 2) = (50P + 0)/51

⇒ 51P – 102 = 50P

⇒ 51P – 50P = 102

⇒ P = 102

 New average = (P – 2)

⇒ 102 – 2

⇒ 100

∴ New average of runs is 100