Question

A man starts his job with a certain monthly salary and a fixed increment every year. If his
salary will be Rs.11, 000 after 2 years and Rs. 14,000 after 4 years of his service, what is his
starting? salary and what is the annual increment?

Answer 1

Answer:

Step-by-step explanation:

Given,

A man starts his job with a certain monthly salary and a fixed increment every year.

Salary will be Rs. 11000  after 2  years and Rs. 14000 after 4 years of his service.

To Find,

Starting salary and Annual increment.

Solution,

Let starting salary of a man be Rs. x

And the fixed annual increment be Rs. y.

Now, According to the question,

⇒ x + 2y = 11000 _(i)

⇒ x + 4y = 14000 _(ii)

Now, On subtracting (i) from (ii), we get  

⇒ 2y = 3000

⇒ y = 3000/2

⇒ y = 1500

Hence, the fixed annual increment of a man is Rs. 1500.

Now, On substituting y's value in eq (i), we get

⇒ x + 2y = 11000

⇒ x + 2 × 1500 = 11000

⇒ x + 3000 = 11000

⇒ x = 11000 - 3000

⇒ x = 8000

Hence, the starting salary of a man is Rs. 8000.

Answer 2

Answer:

Given :

A man starts his job with a certain monthly salary and a fixed increment every year. If his

salary will be Rs.11, 000 after 2 years and Rs. 14,000 after 4 years of his service

Solution :

Let the 1st salary be l

And

annual increment be m

l + 2m = 11000

l + 4m = 14000

l will get cancelled

2m = 3000

m = 1500

l + 2 × 1500 = 11000

l + 3000 = 11000

l = 8000