Mixture and Alligation MCQs for Competitive Examination

Solve the following problems.

Q. 1 In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 millilitres, then what is the total quantity (in millilitres) of mixture?

Q. 2 In what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

Q. 4 The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtain a new mixture containing half milk and half water?

Q. 5 The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?

Q. 7 Two vessels of equal capacity contains juice and water in the ratio of 5 : 1 and 5 : 7 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?

Q. 8 In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of the same elements is 4 : 7. If equal quantities of these two alloys are mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

Q. 9 The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture?

Q. 11 Two mixtures have milk and water in the ratio 1 : 4 and 3 : 2 respectively. In what ratio two types of mixtures have to be mixed to get a new mixture having a ratio of milk and water as 1 : 1?

Q. 12 A 50-litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

Q. 13 How many kg of rice at Rs 54 per kg must be mixed with 30 kg of rice at Rs 40 per kg, so that on selling the mixture at Rs 48.4 per kg, there will be a profit of 10%?

Q. 14 In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form a new mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

Q. 15 In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

Q. 16 In an alloy, lead and tin are in the ratio of 2 : 3. In the second alloy, the ratio of same elements is 3 : 4. If equal quantities of these two alloy are mixed to form a new alloy, then what will be the ratio of these two elements in the new alloy?

Q. 19 How much quantity (in kg) of wheat costing Rs 84 per kg must be mixed with 81 kg of wheat costing Rs 60 per kg so that on selling the mixture at Rs 75.9 per kg, there is a gain of 15%?