| The weight of a container completely filled with water is 2.25 kg. The container weights 0.77 kg when its 0.2 part is filled with water. The weight of the container when 0.4 part of it is filled with water, is [SSC (10+2) 2015] |
A) 0.74 kg
B) 1.14 kg
C) 1.88 kg
D) 0.40 kg
Correct Answer: B
Solution :
| Let the weight of container be x kg. |
| \[\therefore \] Weight of water \[=2.25-x\] |
| Now, weight of 0.2 part of filled container = 0.77 kg |
| \[\therefore \] 0.2 part or \[\frac{1}{5}\] part water's weight \[=0.77-x\] |
| \[\therefore \] Weight of water \[=5\,(0.77-x)\] |
| \[\Rightarrow \] \[2.25-x=5\,(0.77-x)\] |
| \[\Rightarrow \] \[4x=3.85-2.25=1.6\] |
| \[\Rightarrow \] \[x=0.4kg\] |
| So, weight of water in filled container |
| \[=2.25-0.4=1.85\,kg\] |
| \[\therefore \] Weight of 0.4 part of filled container |
| \[=(1.85\times 0.4)+0.4=1.14\,kg\] |
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