A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2?

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).

A mixture contains milk and water in the ratio 3:1. 14 liters of mixture is taken out and 14 liters of water is added thus the ratio of milk & water in the final mixture becomes 2:1. Find the initial quantity (in liters) of milk.