The weight of the container is 25% of the weight of the container when filled with water. After filling up the container, some of the water got spilled during transportation. Now, the container, along with the remaining water, weighs only seven-tenths of the original weight. What fractional part of the water has been spilled?
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Answer:
The weight of the container alone is 25% of the weight of the filled container.
⇒ The weight of the fluid in the container is three times the weight of the container.
Let the weight of the container alone be x units.
⇒ The weight of the fluid in the container is 3x.
Let the weight of the fluid removed be y units.
⇒ The total weight after removal of some quantity of the fluid is 4x−y.
It is given that the weight to of the container and the remaining fluid is 50% if the original total weight.
⇒ The weight to of the container and the remaining fluid is 2x.
⇒4x−y=2x⇒y=2x.
⇒ The fractional part of the liquid that has been removed is 2x/3x=2/3.