Alligation or Mixture problems
From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?

42 1 kg 8
42 7 kg 8
48 7 kg 8
42 3 kg 8

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Alligation or Mixture problems
Two vessels A and B contain milk and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 : 3?

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

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Alligation or Mixture problems
A shopkeeper has 50 kgs of rice. He sells a part of it at 20% profit and the rest at 40% profit. If he gains 25% on the whole, find the quantity of each part.

23.5 kgs and 21.5 kgs
21.5 kgs and 23.5 kgs
12.5 kgs and 37.5 kgs
37.5 kgs and 12.5 kgs

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