Subba Rao started work in 1995 at an annual s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$11$

Vedclass · Answer

(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 ₹ $7000$?

Similar Questions

How many three-digit numbers are divisible by $7$?

Do $4, 10, 16, 22, \ldots$ form an $AP$? If they form an $AP,$ write the next two terms.

Two $APs$ have the same common difference. The difference between their $100^{th}$ terms is $100$. What is the difference between their $1000^{th}$ terms?

How many terms of the $AP : 9, 17, 25, \ldots$ must be taken to give a sum of $636$?

In the following $APs,$ find the missing term in the box: $2, \square, 26$

Vedclass Test Series

Exam Paper Generator

Online Exam Module