A man accepts a position with an initial salary of ₹ 5200 per month. It is understood that he will receive an automatic increase of ₹ 320 in the very next month and each month thereafter.
(i) Find hi salary for the tenth month.
(ii) What is his total earnings during the first year?
Given: Initial salary is Rs. 5200 per month and will increase Rs. 320 every month i.e. a = 5200 and d = 320
(i) Find hi salary for the tenth month.
Answer:
To find: Salary for the tenth month i.e. a10
Formula used:
an = a + (n – 1)d
⇒ a10 = 5200 + (10 – 1)320
⇒ a10 = 5200 + (9)320
⇒ a10 = 5200 + 2880
⇒ a10 = 8080
Hence, he will get Rs. 8080 in tenth salary
(ii) What is his total earnings during the first year?
Answer:
To find: His total earnings during the first year i.e. 12 months, S12
Formula used:
where a is first term, d is common difference and n is number of terms in an A.P.
Therefore,
⇒ S12 = 83520
Hence, his total earnings during an year is Rs. 83520