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. a_{10}

**Formula used:**

a_{n} = a + (n – 1)d

⇒ a_{10} = 5200 + (10 – 1)320

⇒ a_{10} = 5200 + (9)320

⇒ a_{10} = 5200 + 2880

⇒ a_{10} = 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, S_{12}

**Formula used:**

where a is first term, d is common difference and n is number of terms in an A.P.

Therefore,

⇒ S_{12} = 83520

**Hence, his total earnings during an year is Rs. 83520**

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