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(A) It can be observed that the incomes that Subba Rao obtained in various years are in an $A.P.$ as every year,his salary is increased by ₹ $200$.The

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$11$

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(A) It can be observed that the incomes that Subba Rao obtained in various years are in an $A.P.$ as every year,his salary is increased by ₹ $200$.Therefore,the salaries of each year starting from $1995$ are $5000, 5200, 5400, \dots$Here,the first term $a = 5000$ and the common difference $d = 200$.Let after $n^{	ext{th}}$ year,his salary be ₹ $7000$.Using the formula for the $n^{	ext{th}}$ term of an $A.P.$: $a_n = a + (n - 1)d$Substituting the values: $7000 = 5000 + (n - 1)200$$2000 = (n - 1)200$$n - 1 = 10$$n = 11$Thus,in the $11^{	ext{th}}$ year,his salary will be ₹ $7000$.

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

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