Q. 155.0( 1 Vote )

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?

Answer :

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


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