two vessels contain water and alcohol in the ratios 1:2 and 3:4 the two solution are then mixed by taking 6 liters from the first vessel and 35 liter from the second . find the ratio of alcohol to water in resultant ratio

Question : The alcohol and water in a mixture are in the ratio of 4 : 5 respectively. 20-litres water is added to it. If the ratio of alcohol and water in the new mixture is 1 : 3 respectively, then what is the total quantity of the alcohol in the new mixture?

Option 1: $\frac{80}{7}$ liters

Option 2: $15$ liters

Option 3: $\frac{60}{7}$ liters

Option 4: $\frac{90}{11}$ liters

Question : Two vessels contain milk and water in the ratios 3 : 2 and 7 : 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water is 2 : 1.

Option 1: 2 : 1

Option 2: 1 : 2

Option 3: 4 : 1

Option 4: 1 : 4

Question : Two vessels A and B contain milk and water mixed in the ratios 4 : 3 and 2 : 3. The ratio in which these mixtures need to be mixed to form a new mixture containing half milk and half water is:

Option 1: 7 : 5

Option 2: 6 : 5

Option 3: 5 : 6

Option 4: 4 : 3

Question : Two vessels of equal capacity contain juice and water in the ratio of 3 : 5 and 3 : 1 respectively. The mixture of both vessels is mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?

Option 1: 13 : 9

Option 2: 9 : 7

Option 3: 8 : 9

Option 4: 7 : 3

Question : A vessel initially contains 60 litres of milk. First, 12 litres of milk is taken out from the vessel and replaced with water. The process is repeated a second time by taking out the same amount of milk and replacing it with water. What is the final ratio of milk to water in the resultant mixture?

Option 1: 15 : 10

Option 2: 16 : 9

Option 3: 9 : 5

Option 4: 16 : 10