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A man starts his job with a certain monthly salary and a fixed increment every year. If his salary will be Rs. $11000$ after $2$ years and Rs. $14000$ after $4$ years of his service. What is his starting salary and what is the annual increment?

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Starting salary is Rs.

7500

and increment is Rs.

2500

Starting salary is Rs.

5000

and increment is Rs.

1800

Starting salary is Rs.

8000

and increment is Rs.

1500

Starting salary is Rs.

7000

and increment is Rs.

1300

answer is C.

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Detailed Solution

Given a man with certain monthly salary, his salary will be Rs.

11000

after

2

years and Rs.

14000

after

4

years of his service.
Let starting salary

= x

Increment every year

= y

x + 2 y = 11, 000

...........(1)

x + 4 y = 14, 000

...........(2)
Subtracting equation (1) from equation (2),

x + 4 y - x - 2 y = 14, 000 - 11, 000

2 y = 3, 000

y = 1500

Substitute

y = 1500

in equation (1), we get,

x + 2 \times 1500 = 11, 000

x = 11, 000 - 3, 000

x = 8, 000

Thus, starting salary

= 8, 000

and increment

= 1500

.
Therefore, option (3) is correct.

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A man starts his job with a certain monthly salary and a fixed increment every year. If his salary will be Rs. 11000 after 2 years and Rs. 14000 after 4 years of his service. What is his starting salary and what is the annual increment?

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A man starts his job with a certain monthly salary and a fixed increment every year. If his salary will be Rs. $11000$ after $2$ years and Rs. $14000$ after $4$ years of his service. What is his starting salary and what is the annual increment?