Bissoy.com
Doctors Medicines MCQs Q&A

A batsman scored 84 runs in his 12th innings, thereby improving his average score per innings by 4 runs. What is the average score per innings of the batsman after the 12th innings?

A batsman scored 84 runs in his 12th innings, thereby improving his average score per innings by 4 runs. What is the average score per innings of the batsman after the 12th innings? Correct Answer 40

Given:

The batsman scored 84 runs in his 12th innings, thereby improving his average score per innings by 4 runs.

Concept used:

Total = Average × Number of entities

Calculation:

Let the average of the batman in the first 11 innings be N.

Total run scored by the batsman in the first 11 innings = 11 × N = 11N

Total run scored by the batsman in all 12 innings = 11N + 84

New average score after 12th innings = N + 4

According to the question,

(11N + 84)/12 = (N + 4)

⇒ (11N + 84) = (N + 4) × 12

⇒ 11N + 84 = 12N + 48

⇒ 12N - 11N = 84 - 48

⇒ N = 36

Now, N + 4 = 36 + 4

⇒ 40

∴ 40 is the average score per innings of the batsman after the 12th innings.

Related Questions

A batsman scored 75 runs in his first innings, 22 in the second and 45 in the fifth innings. What are the runs scored by the batsman in 3rd innings if he scored 21 runs more in the fourth innings compared to the third innings and the average runs scored by the batsman is 45?  
After 11 innings, the average score per innings of a batsman is 52. After 13 innings, the average increased to 54. If the batsman scored 16 more runs in the 13th innings than the previous innings, then how many runs did he score in the 12th innings?
After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?
The average runs scored by Rohit in 7 innings is 68. In the next innings, he scores some runs such that his average becomes 72. In the 9th innings he scores 16 runs more than his previous innings and now average of his last 8 innings becomes equal to his average of first 7 innings. How many runs did he score in his 1st innings? 
The average score of a batsman in 40 innings is 80. He played 10 more innings. If 72 is the score in his 50 innings. Which of the given statements is/are correct? I. Average score in next 10 innings is more than 72. II. Average score in next 10 innings is same as the number of innings initially. III. Total score of next 10 innings is a 3-digit number divisible by 16.
A batsman has an average score of 45 in 10 innings. He played two consecutive innings in a test match and scored 80 in the 11th innings. After that his average score increases by 5 runs. How many runs did he score in his 12th innings?
The average run scored by a batsman in 20 innings was 40. He scored two back to back centuries (hundred in each) but in his 23rd innings he got out in a low score for that his final average after 23 innings is 45. How many runs did the batsman score in his 23rd innings?
Five players, 'a', 'b', 'c', 'd' and 'e', scored some runs during a match. 1. 'b' scored a half century, but did not score a century. 2. 'd' scored more runs than 'c', but less runs than 'b'. 3. 'a' scored 37 runs, which is less than 'c'. 4. 'e' scored 29 runs more than 'd'. 5. 'c' scored 21 runs less than 'b'. What is likely to be the score of 'e'?
The batting average for 40 innings of a cricket player is 50 runs. His higest score in an innings exceeds his lowest score by 172 runs. if thse two innings are excluded, the average score of the remianing 38 innings is 48 runs . Find his highst score in an innings
In his cricket career, Rahul scored at an average of 36 runs in first 45 innings and in the next 50 innings he scored at an average of 24 runs. To score at an average of 32 runs in 100 innings at what average rate he must score in his last 5 innings?