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The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?
- a)Rs. 570
- b)Rs. 420
- c)Rs. 690
- d)Rs. 640
- e)Rs. 610
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average monthly salary of 12 workers and 3 managers in a factory w...
Initially, the average monthly salary of 12 workers and 3 managers was Rs. 600. This means the total salary for all 12 workers and 3 managers combined was 15 * Rs. 600 = Rs. 9,000.
One of the managers had a salary of Rs. 720. This means the total salary for the remaining 11 workers and 2 managers was Rs. 9,000 - Rs. 720 = Rs. 8,280.
Now, we are told that when the new manager replaces the previous manager, the average salary of the team drops to Rs. 580. We can set up the equation:
(8,280 + x) / 15 = 580
Here, 'x' represents the salary of the new manager. We need to solve this equation to find the value of 'x'.
To solve the equation, we first multiply both sides by 15:
8,280 + x = 580 * 15
8,280 + x = 8,700
8,280 + x = 8,700
Next, subtract 8,280 from both sides:
x = 8,700 - 8,280
x = 420
x = 420
Therefore, the salary of the new manager is Rs. 420.
The correct answer is (b) Rs. 420.
Most Upvoted Answer
The average monthly salary of 12 workers and 3 managers in a factory w...
Given Information:
- Average monthly salary of 12 workers and 3 managers = Rs. 600
- One manager's salary = Rs. 720
- After replacing one manager, the new average salary = Rs. 580
Calculating Total Salary:
Let the total salary of 12 workers and 3 managers be T.
T = 12(average salary of workers) + 3(average salary of managers)
T = 12(600) + 3(720)
T = 7200 + 2160
T = 9360
Calculating Total Salary after Replacement:
Let the salary of the new manager be x.
Total salary after replacing one manager = 12(average salary of workers) + 2(average salary of managers) + x
9360 - 720 + x = 14(580)
8640 + x = 8120
x = 8120 - 8640
x = -520
The negative value of x indicates that the new manager's salary is less than the average salary of Rs. 580.
Calculating Salary of the New Manager:
Since the new manager's salary is less than the average salary, we need to add this difference to the average salary to find the actual salary of the new manager.
New manager's salary = Rs. 580 + Rs. 520
New manager's salary = Rs. 420
Therefore, the salary of the new manager is Rs. 420. Option B is the correct answer.
- Average monthly salary of 12 workers and 3 managers = Rs. 600
- One manager's salary = Rs. 720
- After replacing one manager, the new average salary = Rs. 580
Calculating Total Salary:
Let the total salary of 12 workers and 3 managers be T.
T = 12(average salary of workers) + 3(average salary of managers)
T = 12(600) + 3(720)
T = 7200 + 2160
T = 9360
Calculating Total Salary after Replacement:
Let the salary of the new manager be x.
Total salary after replacing one manager = 12(average salary of workers) + 2(average salary of managers) + x
9360 - 720 + x = 14(580)
8640 + x = 8120
x = 8120 - 8640
x = -520
The negative value of x indicates that the new manager's salary is less than the average salary of Rs. 580.
Calculating Salary of the New Manager:
Since the new manager's salary is less than the average salary, we need to add this difference to the average salary to find the actual salary of the new manager.
New manager's salary = Rs. 580 + Rs. 520
New manager's salary = Rs. 420
Therefore, the salary of the new manager is Rs. 420. Option B is the correct answer.
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Community Answer
The average monthly salary of 12 workers and 3 managers in a factory w...
Initially, the average monthly salary of 12 workers and 3 managers was Rs. 600. This means the total salary for all 12 workers and 3 managers combined was 15 * Rs. 600 = Rs. 9,000.
One of the managers had a salary of Rs. 720. This means the total salary for the remaining 11 workers and 2 managers was Rs. 9,000 - Rs. 720 = Rs. 8,280.
Now, we are told that when the new manager replaces the previous manager, the average salary of the team drops to Rs. 580. We can set up the equation:
(8,280 + x) / 15 = 580
Here, 'x' represents the salary of the new manager. We need to solve this equation to find the value of 'x'.
To solve the equation, we first multiply both sides by 15:
8,280 + x = 580 * 15
8,280 + x = 8,700
8,280 + x = 8,700
Next, subtract 8,280 from both sides:
x = 8,700 - 8,280
x = 420
x = 420
Therefore, the salary of the new manager is Rs. 420.
The correct answer is (b) Rs. 420.
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The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer?.
The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?a)Rs. 570b)Rs. 420c)Rs. 690d)Rs. 640e)Rs. 610Correct answer is option 'B'. Can you explain this answer?.
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