The average runs of a cricket player of 10 innings were 40. How many runs must she make in her next inning so as to increase her average of runs by 3?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 73.
the current average of the runs = 40
and the number of innings = 10
The total number of runs after 10 innings is:
Total runs = avg. run × no. of innings
⇒ 40 × 10 = 400
the number of runs required in the next inning to increase the average by 3 be x.
So
The new average after 11 innings would be = 40 + 3 = 43
The total runs after 11 innings would then be:
New total runs = 400 + x
The new average = New total runs/11 = 43
⇒
⇒ 400 + x = 43 × 11
⇒ x = 473 - 400 = 73 runs