GMAT Mixtures Questions

Eight litres are drawn off from a vessel full of water and substituted by pure milk. Again eight litres of the mixture are drawn off and substituted by pure milk.If the vessel now contains water and milk in the ratio 9:40, find the capacity of the vessel.

5 litres of water is added to a certain quantity of pure milk costing $3 per litre. If, by selling the mixture at the same price as before a profit of 20% is made, what is the amount of pure milk in the mixture?

Two liquids are mixed in the proportion of 3:2 and the mixture is sold at $11 per litre at a 10% profit. If the first liquid costs $2 more per litre than the second, what does it cost per litre?

From a cask of milk, containing 50 litres, litres are drawn out and the cask is filled up with water. If the same process is repeated once again, what will be the number of litres of milk left in the cask?

An alloy contains copper and zinc in the ratio of 5:3 and another contains copper and tin in the ratio of 8:5. If equal weights of the two are melted together to form a new alloy, find the weight of tin per kg in the new alloy.

A vessel is full of a mixture of spirit and water in which there is found to be 17% of spirit by measure. Ten litres are drawn off and the vessel is filled up with water. The proportion of spirit is now found to be 15 1/9%. How much does the vessel hold?

Nine litres are drawn from a cask full of wine and it is then filled with water. Nine litres of the mixture are drawn and the cask is again filled with water. The quantity of wine now left in the cask is to that of the water in it as 16:9. How much does the cask hold?

6 kgs of tea at $6 per kg and 4 kgs of tea at $7 per kg are mixed together and the mixture is sold at a 10% profit. What is the selling price per kg of mixture?

Three glasses (equal in measurements) are filled with a mixture of spirit and water in the ratio 2:1,3:1 and 2:3 respectively. The contents of the three glass are emptied into a single empty vessel. What is the proportion of spirit and water into it?

A mass of copper and brass weighs 24 pounds and is worth $30.50. If the proportion of a copper and brass be interchanged, the mass would be worth $35.50. If 2 pounds of copper and 3 pounds of brass cost $6.75, find the cost/pound of copper.