CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Question 19
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?


Solution

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 ₹ 200.
Therefore, the salaries of each year after 1995 are :
5000, 5200, 5400, …
Here, a = 5000
d = 200
Let after n
 year, his salary be ₹ 7000.
The nth term of an A.P is given by ,
an=a+(n1)d


So, 7000 = 5000 + (n − 1) 200
200(n − 1) = 2000
(n − 1) = 10
n = 11

Thus, 1995 + 11 = 2006
Hence, his salary reached 7000 in the year 2006.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More



footer-image