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A cricketer has completed 10 innings and his average is 21.5 runs. How many runs must he make in his next innings so as raise his average to 24?
- a)49
- b)51
- c)34
- d)50
- e)None
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A cricketer has completed 10 innings and his average is 21.5 runs. How...
Option (a) 49 is correct
Explanation:-
total run scored in 10 innings :-
=> 21.5 * 10 = 215
Total run he must score after 11 innings= 24*11 = 264
He must score in 11 th innings:-
( 264- 215) = 49
Most Upvoted Answer
A cricketer has completed 10 innings and his average is 21.5 runs. How...
Given:
- The cricketer has completed 10 innings
- His average is 21.5 runs
- He wants to raise his average to 24 runs
To find:
- How many runs he must make in his next innings to achieve an average of 24 runs
Solution:
Let's assume that the cricketer has scored a total of 'x' runs in his 10 innings.
Therefore, according to the given information:
- Average of 10 innings = x/10 = 21.5
- Total runs scored in 10 innings = x = 215
Now, let's say he scores 'y' runs in his next innings.
To calculate the new average, we need to add the runs scored in the 11 innings and divide by the total number of innings played:
New average = (x + y) / 11
We know that he wants to raise his average to 24 runs. So,
New average = 24
Substituting the values:
24 = (215 + y) / 11
Multiplying both sides by 11:
264 = 215 + y
Subtracting 215 from both sides:
y = 49
Therefore, the cricketer must score 49 runs in his next innings to raise his average to 24 runs.
Hence, the correct answer is option (A) 49.
- The cricketer has completed 10 innings
- His average is 21.5 runs
- He wants to raise his average to 24 runs
To find:
- How many runs he must make in his next innings to achieve an average of 24 runs
Solution:
Let's assume that the cricketer has scored a total of 'x' runs in his 10 innings.
Therefore, according to the given information:
- Average of 10 innings = x/10 = 21.5
- Total runs scored in 10 innings = x = 215
Now, let's say he scores 'y' runs in his next innings.
To calculate the new average, we need to add the runs scored in the 11 innings and divide by the total number of innings played:
New average = (x + y) / 11
We know that he wants to raise his average to 24 runs. So,
New average = 24
Substituting the values:
24 = (215 + y) / 11
Multiplying both sides by 11:
264 = 215 + y
Subtracting 215 from both sides:
y = 49
Therefore, the cricketer must score 49 runs in his next innings to raise his average to 24 runs.
Hence, the correct answer is option (A) 49.
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