The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?Options :400420380none
Question
The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?Options :400420380none
Solution
Step 1: Calculate the total salary of 12 workers and 3 managers.
The average salary is Rs. 600 for 15 people (12 workers and 3 managers), so the total salary is 600 * 15 = Rs. 9000.
Step 2: Calculate the new total salary after the manager is replaced.
The average salary is now Rs. 580 for 15 people, so the new total salary is 580 * 15 = Rs. 8700.
Step 3: Calculate the salary of the new manager.
The difference in total salary is due to the change in the manager's salary. So, the new manager's salary is the old manager's salary minus this difference.
So, the new manager's salary is 9000 (old total salary) - 8700 (new total salary) + 720 (old manager's salary) = Rs. 1020.
However, this is not an option in the given choices. There seems to be a mistake in the problem or the options provided.
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