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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?

Given:

Subba Rao started work in 1995 at an annual salary of Rs. 5000 and received an increment of Rs. 200 each year.

To do:

We have to find the year in which his income reached Rs. 7000.

Solution:

Let initial income $a = Rs.\ 5000$

Increment $d = Rs.\ 200$

Final income $a_n = Rs.\ 7000$

Therefore,

$a + (n - 1) d = 7000$

$5000 + (n - 1) 200 = 7000$

$(n - 1) 200 = 7000 - 5000$

$(n - 1) 200 = 2000$

$(n- 1) = 10$

$n = 11$

$1995 + 11 = 2006$

Hence, Subba Rao’s income will reach Rs. 7000 in 2006.

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