20 litres from a vessel completely filled with milk is replaced by water and then again 20 litres of the new mixture is replaced by water. If 18 litres of milk is left now in the vessel, what was the capacity of the vessel?

54 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

48 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

50 litres

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

60 litres

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 50 litres
Using the formula, we get x ${(1 - (\frac{20}{x}))}^{2} = 18 \Rightarrow x (1 - (\frac{40}{x}) + (\frac{400}{x^{2}})) = 18$
Solving, we get x = 50 litres

Suggest Corrections

Similar questions

How many litres from a vessel, containing 70 litres of a milk-water mixture in the ratio 3:7, should be replaced with pure milk, so that milk and water are now present in equal proportions?

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

Q. From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out & was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9 :16. The quantity of mixture is :

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?

Q. From the 50 litres of milk, 5 litres of milk is taken out and after it, 5 litres of water is added to the rest amount of milk. Again 5 litres of the mixture of milk and water is drawn out and it was replaced by 5 litres of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement:

Join BYJU'S Learning Program

20 litres from a vessel completely filled with milk is replaced by water and then again 20 litres of the new mixture is replaced by water. If 18 litres of milk is left now in the vessel, what was the capacity of the vessel?

The correct option is C 50 litresUsing the formula, we get x (1−(20x))2=18⇒x(1−(40x)+(400x2))=18 Solving, we get x = 50 litres

The correct option is C 50 litres
Using the formula, we get x ${(1 - (\frac{20}{x}))}^{2} = 18 \Rightarrow x (1 - (\frac{40}{x}) + (\frac{400}{x^{2}})) = 18$
Solving, we get x = 50 litres