Mixtures and Alligations Level 1

Q: A gold smith has two qualities of gold one of 12 carats and another 16 carats purity. In what proportion would he mix both make an ornament of 15 carats purity?
A: 1:3
Q: Box A contains wheat worth Rs.30/kg and box B contains wheat worth Rs.40/kg.If both A and B are mixed in the ratio 4:7, then the price of mixture/kg is 
A: 36.36
Q: Find the ratio in which rice at Rs.7.20/kg be mixed with rice at Rs.5.70/kg to produce a mixture worth Rs.6.30/kg
A: 2:3
Q: A mixture contains milk and water in a ratio 12 : 5. On adding 12 litres of water, the ratio of milk to water becomes 9 : 4. The quantity of milk in the mixture is:
A: 432 litres
Q: In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A: 3:2
Q: Two containers have acid and water mixed respectively, in the ratio 3:1 and 5:3. To get a new mixture with a ratio of acid to water as 2:1, the two types have to be mixed in the ratio _______.
A: 1:2
Q: 15 litres of a mixture contains 20% alcohol and the rest water. If 3 litres of water be mixed in it, then the percentage of alcohol in the new mixture will be
A: $16\frac{2}{3}$%
Q: The milk and water in a mixture are in the ratio 7:5. When 15 litres of water are added to it. The ratio of milk and water in the new mixture becomes 7:8. The total quantity of water in the original mixture is
A: 25 litres
Q: A container has 40L milk. 4L milk is taken out and replaced with water, the process done further two times. What is the amount of milk now contained in the container?
A: 29.16L
Q: Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1 ?
A: 3 : 4
Q: Two jars having a capacity of 3 and 8 liters are filled with mixtures of milk and water. In the smaller jar 40% of the mixture is milk and in the larger 40% of the mixture is water. The jars are emptied into a 15 liter cask whose remaining capacity is filled up with milk. Find the percentage of milk in the cask.
A: 66.66%
Q: In what proportion must wheat at Rs.1.60 per kg be mixed with wheat at Rs.1.45 per kg, so that the mixture is worth Rs.1.54 per kg?
A: 3 : 2
Q: The ratio in which two milk solutions of the concentrations 15% and 40% are to be mixed to get a solution of concentration 30% is:
A: 2:3
Q: Two solutions of 90% and 97% purity are mixed resulting in 21 litres of mixture of 94% purity. How much is the quantity of the first solution in the resulting mixture?
A: 9 litres
Q: Two vessels A and B contain acid and water mixed in the ratio 2:3 and 4:3. In what ratio must these mixtures be mixed to form a new containing half acid and half water?
A: 5:7
Q: In what proportion should two kinds of tea, one costing Rs.4.80 and the other Rs.7.20 per kg, be mixed so that the mixture is worth Rs.5.28 per kg?
A: 4 : 1
Q: A container is filled with a mixture of water and milk in the ratio 3:5. Find the quantity of mixture to be drawn off and replaced with water , in order to get the mixture as half milk and half water
A: 1:5
Q: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
A: Rs.175.50
Q: Three glasses of equal volume contain acid mixed with water, The ratio of acid and water are 2 : 3, 3 : 4 and 4 : 5 respectively, Contents of these glasses are poured in a large vessel. The ratio of acid and water in the large vessel is:
A: 401 : 544 
Q: In what proportion must wheat at Rs. 15 per kg be mixed with wheat at Rs. 18 per kg, so that the mixture will be worth Rs. 17 per kg?
A: 1:2
Q: In what proportion one person must mix wheat of Rs.24 per kg and Rs.28.80 per kg so as to make a mixture worth of Rs.25.20 per kg?
A: 3:1
Q: In a 20-liter solution of water and milk, the percentage of pure milk is 50%. How many liters of pure milk is required to increase the percentage of pure milk to 80%?
A: 30 litres
Q: Two vessels contain spirit of 0.5 and 0.75 concentrations. If two litres from the first vessel and three litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?
A: 13:7
Q: In 40 litres mixture of milk and water, ratio of milk and water is 3 : 1. How much water should be added in the mixture so that the ratio of milk and water becomes 2 : 1?
A: 5
Q: In what proportion must sugar at a price of 4.10/kg must be mixed with rava at a price of 4.60/kg, so that the mixture will be worth of Rs.4.30/kg?
A: 3:2
Q: A container contains 45 litres of alcohol , from the container 5 litres of alcohol was taken out and replaced by water .This process was repeated once again. How much alcohol is now contained in the container?
A: 35.5 litres
Q: Two vessels of Milk and water are mixed in the ratio 5:2 and 8:5.In what proportion should quantities be taken out to form a mixture containing milk and water in the ratio 9:4?
A: 7:2
Q: The resultant price of a mixture of golden rice is Rs. 480 per kg. This mixture is made from two varieties of golden rice which are having a price of Rs. 420 per kg and Rs. 520 per kg. What should be the ratio of quantities of both types of golden rice?
A: 2:3
Q: A container contains 60 L of fresh juice. From this container 6L fresh juice was taken out and replaced by water. This process was repeated further two times. The amount of fresh juice left in the container is:
A: 43.74 L
Q: A cask contains a mixture of 49 litres of wine and water in the proportion 5: 2. How much water must be added to it so that the ratio of wine to water maybe 7 : 4?
A: 6