Raj joined a job with monthly salary of 5000 in the year 1995. If his yearly increment is of 200,Find the year in which his monthly salary will be 7000.
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The annual salary received by Subba Rao in the years 1995,1996,1997..... is 5000, 5200, 5400,...... 7000
The incomes that Subba Rao obtained in various years are in A.P. as every year, his salary is increased by Rs 200.
Therefore, the salaries of each year after 1995 are
5000, 5200, 5400, …
Given:
a = 5000
d = 200
Let after nth year, his salary be Rs 7000.
an = a + (n − 1) d
7000 = 5000 + (n − 1) 200
200(n − 1) = 2000
(n − 1) = 10
n = 11
Thus in 11th year, his salary will be Rs 7000.
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Answer: 2005
Step-by-step explanation: If in 1995 his salary is 5000 and his yearly increment is 200, then after ten years his salary will be 7000, because 200×10=2000. And 5000 + 2000=7000.
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