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There were 25 employees in an office. The mean salary of the employees was Rs. 30,000 per month. A senior officer having a salary of Rs. 60,000 per month retired, and a new clerk was appointed in his place. The mean salary of the employees in the office was thus reduced by Rs. 1,000 per month. The salary of the new clerk (per month) was:

A.
Rs. 30,000
B.
Rs. 25,000
C.
Rs. 35,000
D.
Rs. 40,000

Solution:

GivenTotal employ in the office = 25Mean salary of the employees = Rs 30,000/ monthAn senior officer retired whose salary = 60,000/monthAfter adding new clerk the mean salary of the employees reduced by 1,000 per month.FormulaMean = Sum of the all observations/number of observationsCalculationThe mean salary of 25 employees = 30,000? The sum of the salary of all employees = 30000 × 25? 750,000After retiring the senior officer of monthly salary 60,000? New sum of salary = 750,000 “ 60,000? 690,000After adding new member the average salary salary was reduced by 1000? New average salary = 29,000? New sum of salary of 25 employees = 29000 × 25? 725,000The salary of new employees per month = 725,000 “ 690,000? The salary of new employees be Rs 35,000 per month

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