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A cricketer has an average of 57 runs over 10 innings. If he scores 195 runs in the 11th inning, by how many runs (rounded off to the nearest whole nu
Question

A cricketer has an average of 57 runs over 10 innings. If he scores 195 runs in the 11th inning, by how many runs (rounded off to the nearest whole number) does his average score increase?

A.

8

B.

14

C.

16

D.

13

Correct option is D

Given
Average score of 10 innings = 57 runs
Runs scored in 11th inning = 195 runs
Formula Used
New Average =  Total runs in previous innings+New ScoreTotal Innings\frac{\text{Total runs in previous innings} + \text{New Score}}{\text{Total Innings}}​​
Increase in Average = New Average - Old Average
Solution
Total runs in 10 innings = 57 × 10 = 570 runs
Total runs after 11 innings = 570 + 195 = 765 runs
New average = 76511=69.545\frac{765}{11} = 69.545​ runs
Increase in average = 69.545 - 57 = 12.545 runs
Rounding off to the nearest whole number, the increase is 13 runs.
Final Answer
So the correct answer is (d)

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