subba rao started work in 1995 at an annual salary of rs. 5000 and recived an increment of ₹200 each year. in which year did his income reach₹7000?
Answers
Answered by
3
Step-by-step explanation:
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,…
Here, a=5000
d=200
Let after n
th
year, his salary be Rs 7000.
Therefore, a
n
=a+(n−1)d
⇒7000=5000+(n−1)200
⇒200(n−1)=2000
⇒(n−1)=10
∴n=11
Therefore, in 11
th
year, his salary will be Rs 7000.
Answered by
1
Answer:
11
Step-by-step explanation:
taking a=5000,d=200
an=a+n-1×d
7000=5000+(n-1)×200
7000-5000=n-1×200
2000=n-1×200
2000÷200=n-1
10=n-1
n=10+1
n=11
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