A vessel, full  of water, weighs  16.5. When the vessel  is  1/4 full, it weighs 5.25 Kg. The weight of the empty vessel (in Kg) is :

  1. 1.125
  2. 1.5
  3. 4.5
  4. 3
Anurag Mishra Professor Asked on 26th January 2016 in Maths.
Add Comment
  • 3 Answer(s)

    Answer:  (1) 1.125

    Solution:-
    The weight of a vessel, full of water = 16.5 kg
    Therefore, the weight of 1/4 vessel , full of water = 16.5/4
     = 4.125 kg 

    The weight of vessel is 1/4 full = 5.25 Kg

    Then. the weight of empty vessel = 5.25 – 4.125
     = 1.125 kg

    Hence, the correct answer is option (1) 1.125 

    Anurag Mishra Professor Answered on 26th January 2016.
    Add Comment

    Answer: 2) 1.5

    Weight of full water and a vessel is  = 16.5 —-1)

    weight when its 1/4 full = 5.25
    I.e weight of 1/4 water & a vessel is =5.25——2)

    subtract equation  1) from 2)

    we would have equation like….
    (A vessel+ full water)-(A vessel+ 1/4 water)=16.5-5.25
    A vessel+ full water-A vessel-1/4 water=16.5-5.25
    i.e
    weight of 3/4 water only = 16.5 – 5.25 = 11.25

    weight of 1/4 water only = 11.25/3 = 3.75

    weight of empty vessel = 5.25 – 3.75 = 1.50

    poonam Default Answered on 12th December 2016.
    Add Comment

    Weight of full water and a vessel is  = 16.5 —-1)

    weight when its 1/4 full = 5.25
    I.e weight of 1/4 water & a vessel is =5.25——2)

    subtract equation  1) from 2)

    we would have equation like….
    (A vessel+ full water)-(A vessel+ 1/4 water)=16.5-5.25
    A vessel+ full water-A vessel-1/4 water=16.5-5.25
    i.e
    weight of 3/4 water only = 16.5 – 5.25 = 11.25

    weight of 1/4 water only = 11.25/3 = 3.75

    weight of empty vessel = 5.25 – 3.75 = 1.50

    poonam Default Answered on 12th December 2016.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.