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Question

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?

A
Starting salary is Rs. 7500 and increment is Rs. 2500
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B
Starting salary is Rs.5000 and increment is Rs. 1800
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C
Starting salary is Rs. 8000 and increment is Rs. 1500
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D
Starting salary is Rs. 7000 and increment is Rs. 1300
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Solution

The correct option is C Starting salary is Rs. 8000 and increment is Rs. 1500
Let starting salary = x
Increment every year = y
x +2y = 11,000 ....... eq(1)
x + 4y = 14,000 ......eq(2)
Substract eq(1) from eq(2)
2y = 3,000y = 1500
Substitute y= 1500 in eq(1), we get x = 11,000 3,000
x = 8,000
starting salary = 8,000
Increment = 1500

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