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?
A. 640 B. 690 C. 420 D. 570

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Answer-C Solution-

Solution(By Apex Team)

The total salary amount = 15 × 600 = 9000 The salary of the exiting manager = 720 Therefore, the salary of 12 workers and the remaining 2 managers, = 9000 − 720 = 8280 When a new manager joins, the new average salary drops to Rs. 580 for the total team of 15 of them The total salary for the 15 people i.e., 12 workers, 2 old managers and 1 new manager =580 × 15 = 8700 Therefore, the salary of the new manager is, 9000 – 8700 = 300 less than that of the old manager who left the company, which is equal to 720 – 300 = 420

Alternatively

The average salary dropped by Rs. 20 for 15 of them. Therefore, the overall salary has dropped by 15 × 20=300 Therefore, the new manager’s salary should be Rs. 300 less than that of the old manager, = 720 – 300 = 420

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