Practice Mixture & Alligation Practice Questions with Detailed Solutions – Level 3

A vessel contains 80 litres of pure milk. 8 litres of milk are taken out and replaced with water. This process is carried out three times in all. How much milk is left in the vessel at the end?

From a can holding 40 litres of pure milk, a certain quantity is drawn out and replaced with water. The same quantity of the mixture is again drawn out and replaced with water. The ratio of milk to water in the can is now \(16 : 9.\) What quantity was drawn out each time?

Three identical jars are completely filled with mixtures of milk and water in the ratios \(3 : 1,\) \(5 : 3\) and \(9 : 7\) respectively. The contents of all three jars are poured into a large drum. What is the ratio of milk to water in the drum?

Alloy A contains gold and copper in the ratio \(7 : 2,\) and alloy B contains gold and copper in the ratio \(7 : 11.\) In what ratio should A and B be melted together to obtain a new alloy with gold and copper in the ratio \(5 : 4?\)

A milkman adds water to pure milk and sells the mixture at 10% above the cost price of pure milk. His overall gain is 37.5%. What percentage of the mixture is water?

Tea costing ₹180 per kg, tea costing ₹270 per kg and a third variety are mixed in the ratio \(1 : 1 : 2.\) The mixture is sold at ₹286 per kg, earning a profit of 10%. What is the cost price of the third variety per kg?

40 litres of a 15% salt solution are mixed with 60 litres of a 40% salt solution. How many litres of water must be evaporated from this mixture so that the concentration of salt becomes 40%?

A container holds 60 litres of milk and water in the ratio \(3 : 1.\) 12 litres of the mixture are taken out and replaced with water, and this is done once more. What is the final ratio of milk to water in the container?

28 litres of a mixture contain alcohol and water in the ratio \(5 : 2.\) How many litres of another mixture containing alcohol and water in the ratio \(1 : 3\) must be added so that the resulting mixture has equal quantities of alcohol and water?

Pure milk costs ₹60 per litre. Ramesh mixes water with it and sells the mixture at ₹54 per litre, making a profit of 20%. How much water does he add to every 12 litres of milk?