A vessel of capacity 80 litres is filled with milk and water. 70 $%$ of total volume of milk and 30 $%$ of total volume of water is taken out of the vessel. It is found that the vessel is vacated by 55 $%$ .
What was the initial quantity of water in the vessel?

20L

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30L

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40L

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50L

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60L

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Solution

The correct option is B
30L

Here, the percentage values of milk and water that is taken from the vessel should be taken into consideration.

$Ratio of milk to water = 5 : 3 ∴ quantity of milk = \frac{80}{5 + 3} \times 5 = 50 l i t r e s And quantity of water = \frac{80}{5 + 3} \times 3 = 30 l i t r e s$

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A vessel of capacity 80 litres is filled with milk and water. 70% of total volume of milk and 30% of total volume of water is taken out of the vessel. It is found that the vessel is vacated by 55% . What was the initial quantity of water in the vessel?

The correct option is B 30L Here, the percentage values of milk and water that is taken from the vessel should be taken into consideration. Ratio of milk to water=5:3∴quantity of milk=805+3×5=50 litresAnd quantity of water=805+3×3=30 litres

A vessel of capacity 80 litres is filled with milk and water. 70 $%$ of total volume of milk and 30 $%$ of total volume of water is taken out of the vessel. It is found that the vessel is vacated by 55 $%$ .
What was the initial quantity of water in the vessel?