Question

A man started working in a firm in 1995 at an annual salary of Rs. 5000 and received Rs.200 raise
each year. In which year did his income reach of Rs. 7000 ?​

Answer 1

Answer:

Answer 2005

Step-by-step explanation:

1995 5000

1996 5200

1997 5400

1998 5600

1999 5800

2000 6000

2001 6200

2002 6400

2003 6600

2004 6800

2005 7000

Answer 2

It can be observed that the incomes that the mam 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+(n-+1)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.