The salary scale of a certain grade of the government officer starts at #57000 per annum. It increases by annual rise of 5400. (A) how much money would a person earn (i) in the 10th year (ii) altogether in the first 10 years

Answer 1

(i) In the 10th year, the annual rise of 5400 would have occurred 9 times (since it increases annually). Therefore, the salary after 10 years would be:

57000 + (5400 * 9) = 57000 + 48600 = #105600 per annum.

(ii) To find out the total earnings in the first 10 years, we need to sum up the salary for each year. The salary for each year can be calculated using the formula:

Salary = Base Salary + (Annual Rise * (Year - 1))

For the first year, the salary would be:

57000 + (5400 * (1 - 1)) = #57000

For the second year, the salary would be:

57000 + (5400 * (2 - 1)) = #62400

Similarly, we can calculate the salary for each subsequent year:

Year Salary
1 57000
2 62400
3 67800
4 73200
5 78600
6 84000
7 89400
8 94800
9 100200
10 105600

To find the total earnings in the first 10 years, we add up the salaries for each year:

57000 + 62400 + 67800 + 73200 + 78600 + 84000 + 89400 + 94800 + 100200 + 105600 = #828300

Therefore, a person would earn #828300 altogether in the first 10 years.