Question

The mean of the salary of 15 employees is ₹ 35000, The salary of all the 15 emplyees increased by 25% after annual increment. Find the new mean after the increment.

• A. 35000
• B. 43750
• C. 26750
• D. 26250

Answer 1

The correct option is B 43750

The mean of 15 employees is ₹ 35000
here,
Mean = $\frac{\text{Sum of the salaries of 15 employees}}{\text{Number of employees}}$
$\Rightarrow$ Sum of the salaries of 15 employees
= 35000 $\times$ 15 = ₹ 5,25,000

Total annual increment in salaries of 15 employees = 25 % of the sum of salaries of all the employees.
= $\frac{25}{100}$ $\times$ salary amount
= $\frac{25}{100}$ $\times$ 5,25,000
= ₹ 1,31,250
So, sum of the salaries of 15 employees after increment
= Intial sum of salaries + annual increment
= ₹ 5,25,00 + ₹ 1,31,250 = ₹ 6,56,250
New mean =$\frac{\text{Sum of the salaries of 15 employees after increment}}{\text{Number of employees}}$
= $\frac{6,56,250}{15}$ = ₹ 43750

Thus, the new mean after inrement is ₹ 43750.