MathematicsA man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs.1500 after 4 years of service and Rs.1800 after 10 years of service, what was his starting salary and what is the annual increment?

A man starts his job with a certain monthly salary and earns a fixed increment every year. If his salary was Rs.1500 after 4 years of service and Rs.1800 after 10 years of service, what was his starting salary and what is the annual increment?


  1. A
    Rs.1300 and Rs.50
  2. B
    Rs.1350 and Rs.45
  3. C
    Rs.1250 and Rs.55
  4. D
    Rs.1270 and Rs.52 

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    Solution:

    Given that, a man started his job with a certain monthly salary and earns a fixed increment every year. His salary was Rs.1500 after 4 years of service and Rs.1800 after 10 years of his service.
    Let his salary be x and the annual increment by y.
    Since, his salary was Rs.1500 after 4 years of service.
    Thus, x+4y=1500 ………….(1)
    Since, his salary was Rs.1800 after 4 years of service.
    Thus, x+10y=1800 ………….(2)
    Subtract equation 1 by equation 2,
    Then, x+10y-x-4y=1800-1500
    ⇒ 6y=300 ⇒ y=50 Substitute y=50  in the equation 1,
    Then, x+450=1500
    ⇒ x=1500-200 ⇒ x=1300 Thus, his starting salary and the annual increment are Rs.1300 and Rs.50 respectively.
    Hence the correct option is 1.
     
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