The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next inning so as to increase his average of runs by 4?

Question: The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next inning so as to increase his average of runs by 4?

Solution:
Let the total runs in 10 innings be:
Average = 32
So total runs = 32 × 10 = 320

Now let runs in next inning = x
New average increases by 4
⇒ new average = 36
Total innings = 11

So,
Total runs = 36 × 11
= 396

Now,
x = 396 - 320
= 76