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Subba Rao started work in 1995 at an annual salary of Rs. 5000

Question

Subba Rao started work in $1995$ at an annual salary of Rs. $5000$ and received an increment of Rs. $200$ each year. In which year did his income reach Rs. $7000$

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Subba Rao started work in

1995

at an annual salary of Rs.

5000

and received an increment of Rs.

200

each year. In which year did his income reach Rs.

7000

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

It can be observed that 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, \dots

Here,

a = 5000

d = 200

Let after

n^{t h}

year, his salary be Rs

7000

Therefore,

a_{n} = a + (n - 1) d

\Rightarrow 7000 = 5000 + (n - 1) 200

\Rightarrow 200 (n - 1) = 2000

\Rightarrow (n - 1) = 10

∴ n = 11

Therefore, in

1 1^{t h}

year, his salary will be Rs

7000

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Question Text	Subba Rao started work in $1995$ at an annual salary of Rs. $5000$ and received an increment of Rs. $200$ each year. In which year did his income reach Rs. $7000$
Answer Type	Text solution:1
Upvotes	150