The ratio of milk to water in a vessel is 5:3 respectively. If 32 liters of mixture are taken out and 4 liters of water are added to the mixture, then the ratio of milk to water becomes 3:2. Find the initial quantity of the mixture.

From a 50-litre mixture containing alcohol and water in the ratio 3:2, 10 litres are removed and replaced with water.
What is the new ratio of alcohol to water?

A 120-litre solution of salt and water contains 25% salt. If 30 litres of water are added, what is the new percentage of salt in the solution?

A vessel contains a mixture of milk and water in the ratio 3:2 respectively. If 20 liters of the mixture is removed and 4 liters of milk is added, the ratio of milk to water becomes 13:8 respectively. Find the initial quantity of the mixture (in liters). 

A vessel contains a solution of acid and water in the ratio 5 : 7. When 9 litres of the solution are taken out and the vessel is filled with equal quantity of acid, the ratio of acid and water in the vessel becomes 9 : 7. How many litres of solution was there in the vessel, initially?

From a cask filled with 867 litres of wine, y litres are first drawn and replaced with water. After the first replacement the ratio of wine and water in the cask, when expressed in the lowest form, is given as a : b. From this mixture y litres are drawn and replaced with water. The ratio of wine to water in the cask after the second replacement, when expressed in the lowest form, is given as 169 : 120. Find the value of (y + a + b).

A vessel contains 240 liters mixture of milk and water in the ratio of 7 : 5 respectively. If X liters milk is added in the mixture, the milk becomes 80% more than water in final mixture. Find the value of X?

In a mixture, the ratio of milk to water is 4 : 1. in the mixture, 24 litres water is added and the difference between milk and water in final mixture becomes 84 litres. Find the initial quantity of the mixture (in liters).