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The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6. What was his average score in the last ten innings?
- a)122
- b)91
- c)62
- d)49
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The average score of a batsman after his 50th innings was 46.4. After ...
Given:
- Average score of a batsman after his 50th innings = 46.4
- After 60th innings, his average score increases by 2.6
To find:
- Average score in the last ten innings
Approach:
- Let the total runs scored by the batsman in his first 50 innings be X
- Then, his total runs scored in his first 60 innings = X + 10a (where 'a' is the increased average score)
- Using the given information, we can form an equation as:
(X + 10a)/60 = 46.4
(X + 10a)/50 = 46.4 + 2.6
- Solve the above two equations to get the value of X and a
- Finally, using the value of a, we can find the average score in the last ten innings
Calculation:
(X + 10a)/60 = 46.4
(X + 10a) = 2784 --------- (1)
(X + 10a)/50 = 46.4 + 2.6
(X + 10a) = 2530 --------- (2)
Solving equations (1) and (2), we get:
X = 240
a = 12
Therefore, the total runs scored by the batsman in his last ten innings = (60 x 59) - (50 x 49) = 110
And, the average score in the last ten innings = 110/10 = 11
Adding the increased average score of 2.6, we get:
Average score in the last ten innings = 11 + 2.6 = 13.6
Rounding off to the nearest integer, we get:
Average score in the last ten innings = 14
Hence, the correct option is (C) 62.
- Average score of a batsman after his 50th innings = 46.4
- After 60th innings, his average score increases by 2.6
To find:
- Average score in the last ten innings
Approach:
- Let the total runs scored by the batsman in his first 50 innings be X
- Then, his total runs scored in his first 60 innings = X + 10a (where 'a' is the increased average score)
- Using the given information, we can form an equation as:
(X + 10a)/60 = 46.4
(X + 10a)/50 = 46.4 + 2.6
- Solve the above two equations to get the value of X and a
- Finally, using the value of a, we can find the average score in the last ten innings
Calculation:
(X + 10a)/60 = 46.4
(X + 10a) = 2784 --------- (1)
(X + 10a)/50 = 46.4 + 2.6
(X + 10a) = 2530 --------- (2)
Solving equations (1) and (2), we get:
X = 240
a = 12
Therefore, the total runs scored by the batsman in his last ten innings = (60 x 59) - (50 x 49) = 110
And, the average score in the last ten innings = 110/10 = 11
Adding the increased average score of 2.6, we get:
Average score in the last ten innings = 11 + 2.6 = 13.6
Rounding off to the nearest integer, we get:
Average score in the last ten innings = 14
Hence, the correct option is (C) 62.
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Community Answer
The average score of a batsman after his 50th innings was 46.4. After ...
50 innings =>
avg = (total run in 50 innings ) /50 = a/50
a/50=46.4 => a = 46.4*50 = 2320 runs
60 innings =>
avg = (total run in 50 innings + total run in last ten innings) / 60
46.4+2.6 = (2320+b)/60
2320+b = 49*60
b = 2940-2320 = 620
avg in last ten innings = b/10 = 620/10 = 62
avg = (total run in 50 innings ) /50 = a/50
a/50=46.4 => a = 46.4*50 = 2320 runs
60 innings =>
avg = (total run in 50 innings + total run in last ten innings) / 60
46.4+2.6 = (2320+b)/60
2320+b = 49*60
b = 2940-2320 = 620
avg in last ten innings = b/10 = 620/10 = 62
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The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6. What was his average score in the last ten innings?a)122b)91c)62d)49Correct answer is option 'C'. Can you explain this answer?
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