A batsman makes a score of 82 runs in the $13^{t h}$ innings and thus increases his average by 3. What is his average after the $13^{t h}$ innings?

Assume that the batsman got out in each inning.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
46

Let the average after 13 innings = x

Total runs scored in 13 innings = 13x

From question, average after 12 innings = (x-3)

Total runs scored in 12 innings = 12(x-3)

We know that -

Total runs scored in 12 innings + 82 = Total runs scored in 13 innings

$\Rightarrow$ 12(x-3) + 82 = 13x

$\Rightarrow$ 12x - 36 + 82 = 13x

$\Rightarrow$ x = 46

Suggest Corrections

Similar questions

Q. A batsman has a certain average of runs for 12 innings. In the 13th innings, he scores 96 runs and thereby increasing his average by 5 runs. What is his average after the 13th innings?

Q. A batsman by scoring 68 runs in his

20^{t h}

inning improves his average by 2 runs. His average for all 20 innings is

Q5) A batsman has a certain average runs for 11 innings. In the 12th inning he made a score of 90 runs and thereby decreased his average by 5. His average after 12th inning is:

Join BYJU'S Learning Program

A batsman makes a score of 82 runs in the 13th innings and thus increases his average by 3. What is his average after the 13th innings? Assume that the batsman got out in each inning.

A batsman makes a score of 82 runs in the $13^{t h}$ innings and thus increases his average by 3. What is his average after the $13^{t h}$ innings?

Assume that the batsman got out in each inning.