Alligation or Mixture problems
A person has two solutions of sugar with 30% and 50% concentration respectively. In what proportion should he mix two solutions to get 45% concentration in the resulting mixture?

3 : 2
2 : 3
1 : 3
3 : 1

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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 water is 16 : 65. How much wine did the cask hold originally?

42 litres
24 litres
18 litres
32 litres

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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?

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

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Alligation or Mixture problems
A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket?

21 litres
18 litres
15 litres
23 litres

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