Question

The salary of all officers is increased twice successively by 20%. What is the net percentage increase in their salaries?

Answer 1

Answer:

44%

Step-by-step explanation:

Let the salaries be 100

Then, in first increase, 100 + 20%

= 100 + 20 × 100/100

= 100 + 20

= 120

Now, for second increase, 120 + 20%

= 120 + 20 × 120/100

= 120 + 24

= 144

∴ From 100 to 144...

∴ The percentage increase is 44%

Answer 2

Given:

The salary of all the officers is increased by 20% two times.

To Find:

The net percentage increase in their salaries is?

Solution:

1. Consider the salary of all the employees as Rs x.

2. Initially the salary has been increased by 20%, The new salary will be,

=> New salary = x + 20% of x,

=> New salary = x + 20*x /100,

=> New salary = x + x/5,

=> New salary = 6x/5.

3. The salary is again increased by 20% hence, the final updated salary will be,

=> Final salary = 6x/5 + 20% of 6x/5,

=> Final salary = 6x/5 + (20*6x)/(100*5),

=> Final salary = 6x/5 + 6x/25,

=> Final salary = 36x/25.

4. Percentage increase in salary = (Final Salary - Initial salary)/100,

=> Percentage increase in salary = (36x*100/25 - x),

=> Percentage increase in salary = (36x - 25x)*100/25,

=> Percentage increase in salary = 11*4x,

=> Percentage increase in salary = 44%.

Therefore, the net increase in the salaries of the employees is 44%.