The salary scale of a certain grade of government officer starts at 57000 per annum. It increases by annual rise of 5400 to a maximum of 132600. (A) how many years does it take to reach the maximum salary. Using AP(arithmetic progression)
To solve this problem using arithmetic progression (AP), we can represent the salary scale as an AP with the first term (a) equal to 57000 and the common difference (d) equal to 5400.
We want to find the number of terms (n) it takes to reach the maximum salary of 132600.
We can use the formula for the nth term of an AP:
an = a + (n-1)d
Substituting the given values, we have:
132600 = 57000 + (n-1)(5400)
Simplifying the equation:
75600 = (n-1)(5400)
Dividing both sides by 5400:
14 = n-1
n = 15
Therefore, it takes 15 years to reach the maximum salary.