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