The average salary of all the employees in a small organization is Rs 8,000. The average salary of 7 technicians is Rs 12,000 and the average salary of the rest is Rs 6,000. The total number of employees in the organisation is?
Answers
Answer:
Given:
Average salary of n employees = 8,000.
Average salary of 7 employees = 12,000.
Average of (n-7) employees = 6000.
To Find: The Total number of employees = n
Solution:
Average = Sum/N
Here, Average of n employees = 8,000.
=> Sum of n employees / n = 8,000.
=>. Sum of n employees = 8000n.
=> Sum of (n-7) employees + Sum of 7 employees = 8000n. ---(1)
Average of 7 employees = 12,000
=> Sum of 7 employees/7 = 12,000.
=> Sum of 7 employees = 84,000. ---(2)
Average of (n-7) employees = 6,000.
=> Sum of (n-7) employees/(n-7) = 6,000.
=> Sum of (n-7) employees = 6000(n-7). ----(3)
Substitute (2) and (3) in (1)
84000+ 6000(n-7) = 8000n
8000n-6000n +42000= 84000
2000n = 42000
2n = 42
n = 21
Hence, the total number of employees, n = 21
Answer:
6000 is the correct answer