A man accepts a position with an initial salary of ₹26000 per month. It is understood that he will receive an automatic increase of ₹250 in the very next month and each month thereafter.

Find this (i) salary for the 10th month, (ii) total earnings during the first year.


Given: -


An initial salary that will be given = ₹26000


There will be an automatic increase of ₹250 per month from the very next month and thereafter.


Hint: - In the given information the salaries he receives are in A.P.


Let the number of the month is n.


Initial salary = a = ₹26000


Increase in salary = common difference = d = ₹250


i. Salary for the 10th month,


n = 10,


Salary = a + (n - 1)×d


= 26000 + (10 - 1)×250


= 28250


Salary for the 10th month = ₹28250


ii. Total earnings during the first year = sum off all salaries received per month.


Total earnings =


Here n = 12.


Total earnings


= 6×(42000 + 2750)


= 268500


Total earnings during the first year = ₹268500


1