The mean salary of 20 workers is Rs.10.250. If the salary of office su

1.	The mean salary of 20 workers is Rs.10.250. If the salary of office superintendentbied, the mean will increase by Rs.750. Find the salary of the office superintende
Answer» Question :- The mean salary of 20 workers is Rs.10,250. If the salary of office superintendent bied, the mean will increase by Rs.750. Find the salary of the office superintende . Answer :- Salary of office superintendent is ₹26,000 To Find :- → Salary of the office supernitende . SOLUTION :- Given that : Mean salary =₹ 10,250 Total NUMBER of workers = 20 mean increased =₹ 750 Now , we know that , $\to \sf \: mean \: \frac{sum \: of \: observations}{number \: of \: observations} \\ \\ \to \sf sum \: of \: obs. = mean \times no. \: of \: obs. \\ \\ \to \sf \: sum \: of \: observations = 10250 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 205000$ now ,salary of office superintendent is added HENCE , Number of observations = 21 LET, the salary of office superintendent is "y" . now, according to the question, → salary increased by ₹750 , hence , $\to \sf 10250 + 750 = \frac{sum \: of \: observations}{21} \\ \\ \to \sf 11000 = \frac{205000 + y}{21} \\ \\ \to \sf \: y + 205000 = 21 \times 11000 \\ \\ \to \sf y = 231000 - 205000 \\ \\ \to \boxed{\sf \: y =2 6000}$ hence ,salary of office superintendent is ₹26,000

The mean salary of 20 workers is Rs.10.250. If the salary of office superintendentbied, the mean will increase by Rs.750. Find the salary of the office superintende

Answer»

Question :-

The mean salary of 20 workers is Rs.10,250. If the salary of office superintendent bied, the mean will increase by Rs.750. Find the salary of the office superintende .

Answer :-

Salary of office superintendent is ₹26,000

To Find :-

→ Salary of the office supernitende .

SOLUTION :-

Given that :

Mean salary =₹ 10,250

Total NUMBER of workers = 20

mean increased =₹ 750

Now ,

we know that ,

$\to \sf \: mean \: \frac{sum \: of \: observations}{number \: of \: observations} \\ \\ \to \sf sum \: of \: obs. = mean \times no. \: of \: obs. \\ \\ \to \sf \: sum \: of \: observations = 10250 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 205000$

now ,salary of office superintendent is added HENCE ,

Number of observations = 21

LET, the salary of office superintendent is "y" .

now, according to the question,

→ salary increased by ₹750 ,

hence ,

$\to \sf 10250 + 750 = \frac{sum \: of \: observations}{21} \\ \\ \to \sf 11000 = \frac{205000 + y}{21} \\ \\ \to \sf \: y + 205000 = 21 \times 11000 \\ \\ \to \sf y = 231000 - 205000 \\ \\ \to \boxed{\sf \: y =2 6000}$

hence ,salary of office superintendent is ₹26,000