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?

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.

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?

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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