# 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 ave

24 views
in Aptitude
closed

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

by (41.6k points)
selected by

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