# 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 :

**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

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

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