Alligation or Mixture problems
8 litres are drawn from a cask full of 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 water is 16 : 65. How much wine the cask hold originally?

42 litres
24 litres
18 litres
32 litres

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Alligation or Mixture problems
Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is?

115 : 201
97 : 102
193 : 122
147 : 185

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Alligation or Mixture problems
In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

2 : 3
6 : 1
1 : 6
4 : 3

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Alligation or Mixture problems
A vessel contains mixture of liquids A and B in the ratio 3: 2. When 20 litres of the mixture is taken out and replaced by 20 litres of liquid B, the ratio changes to 1: 4. How many litres of liquid A was there initially present in the vessel?

24 litres
18 litres
12 litres
22 litres

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