**1**. How many L of a 12 L mixture containing milk and water in the ratio of 2:3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

**Answer** – **2 L**

**2 L of a 12 L mixture containing milk and water in the ratio of 2:3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion.**

**1**. How many L of a 12 L mixture containing milk and water in the ratio of 2:3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

**Answer** – **2 L**

**The unit’s digit of the number he so obtains is 7.**

**2**. A 20 L mixture of milk and water contains milk and water in the ratio 3:2. 10 L of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, what is the ratio of milk and water in the resultant mixture?

**Answer** – **9:1**

**A 20 L mixture of milk and water contains milk and water in the ratio 3:2. 10 L of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, the ratio of milk and water in the resultant mixture is 9:1.**

**2**. A 20 L mixture of milk and water contains milk and water in the ratio 3:2. 10 L of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, what is the ratio of milk and water in the resultant mixture?

**Answer** – **9:1**

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**A 20 L mixture of milk and water contains milk and water in the ratio 3:2. 10 L of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacement, the ratio of milk and water in the resultant mixture is 9:1.**

**3**. 8 L are drawn from a cask filled with wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the total solution is 16:81. How much wine did the cask hold originally?

**Answer** – **24 L**

**8 L are drawn from a cask filled with wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the total solution is 16:81. The cask held 24 L of wine originally.**

**3**. 8 L are drawn from a cask filled with wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the total solution is 16:81. How much wine did the cask hold originally?

**Answer** – **24 L**

**8 L are drawn from a cask filled with wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the total solution is 16:81. The cask held 24 L of wine originally.**

**4**. A vessel is filled with liquid, 3 parts of which are water and 5 parts of which are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

**Answer** – **1/5**

**A vessel is filled with liquid, 3 parts of which are water and 5 parts of which are syrup. 1/5 of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.**

**4**. A vessel is filled with liquid, 3 parts of which are water and 5 parts of which are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

**Answer** – **1/5**

**A vessel is filled with liquid, 3 parts of which are water and 5 parts of which are syrup. 1/5 of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup.**

**5**. A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of milk in the mixture of 1 L is

**Answer** – **83.33 ml**

**A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of milk in the mixture of 1 L is 83.33 ml.**

**5**. A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of milk in the mixture of 1 L is

**Answer** – **83.33 ml**

**A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of milk in the mixture of 1 L is 83.33 ml.**

**6**. A 735 gm sample of a 16% (by weight) solution of antiseptic in water is kept for a week. Some of the water gets evaporated and the concentration of the solution becomes 20% (by weight). What amount of water gets evaporated?

**Answer** – **147 gm**

**A 735 gm sample of a 16% (by weight) solution of antiseptic in water is kept for a week. Some of the water gets evaporated and the concentration of the solution becomes 20% (by weight). 147 gm of water gets evaporated.**

**6**. A 735 gm sample of a 16% (by weight) solution of antiseptic in water is kept for a week. Some of the water gets evaporated and the concentration of the solution becomes 20% (by weight). What amount of water gets evaporated?

**Answer** – **147 gm**

**A 735 gm sample of a 16% (by weight) solution of antiseptic in water is kept for a week. Some of the water gets evaporated and the concentration of the solution becomes 20% (by weight). 147 gm of water gets evaporated.**

**7**. Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

**Answer** – **7:9**

**Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. The mixtures is to be mixed in a ratio of 7:9 to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5.**

**7**. Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5 ?

**Answer** – **7:9**

**Two vessels A and B contain spirit and water in the ratio 5:2 and 7:6 respectively. The mixtures is to be mixed in a ratio of 7:9 to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5.**

**8**. 4 kg of a metal contains 1/5 copper and rest is Zinc. Another 5 kg of metal contains 1/6 copper and rest is Zinc. The ratio of Copper and Zinc in the mixture of the these two metals is

**Answer** – **49:221**

**4 kg of a metal contains 1/5 copper and rest is Zinc. Another 5 kg of metal contains 1/6 copper and rest is Zinc. The ratio of Copper and Zinc in the mixture of the these two metals is 49:221.**

**8**. 4 kg of a metal contains 1/5 copper and rest is Zinc. Another 5 kg of metal contains 1/6 copper and rest is Zinc. The ratio of Copper and Zinc in the mixture of the these two metals is

**Answer** – **49:221**

**4 kg of a metal contains 1/5 copper and rest is Zinc. Another 5 kg of metal contains 1/6 copper and rest is Zinc. The ratio of Copper and Zinc in the mixture of the these two metals is 49:221.**

**9**. Three glasses of capacity 2 litres, 5 litres and 9 litres contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a lage vessel. Find the ratio of milk to water in the resultant mixture?

**Answer** – **121:39**

**Three glasses of capacity 2 litres, 5 litres and 9 litres contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a lage vessel. The ratio of milk to water in the resultant mixture is 121:39.**

**9**. Three glasses of capacity 2 litres, 5 litres and 9 litres contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a lage vessel. Find the ratio of milk to water in the resultant mixture?

**Answer** – **121:39**

**Three glasses of capacity 2 litres, 5 litres and 9 litres contain mixture of milk and water with milk concentrations 90%, 80% and 70% respectively. The contents of three glasses are emptied into a lage vessel. The ratio of milk to water in the resultant mixture is 121:39.**

**10**. A girl has 1 L of solution that contains orange juice and water in the ratio 3:1. She adds 250 ml of 3:2 solution of orange juice and water to it and then use 250 ml of the combined mixture to make complete juice. How much juice is she left with?

**Answer** – **720 ml**

**A girl has 1 L of solution that contains orange juice and water in the ratio 3:1. She adds 250 ml of 3:2 solution of orange juice and water to it and then use 250 ml of the combined mixture to make complete juice. She is left with 720ml of juice.**

**10**. A girl has 1 L of solution that contains orange juice and water in the ratio 3:1. She adds 250 ml of 3:2 solution of orange juice and water to it and then use 250 ml of the combined mixture to make complete juice. How much juice is she left with?

**Answer** – **720 ml**

**A girl has 1 L of solution that contains orange juice and water in the ratio 3:1. She adds 250 ml of 3:2 solution of orange juice and water to it and then use 250 ml of the combined mixture to make complete juice. She is left with 720ml of juice.**