Alligation or Mixture problems
A cask full of wine from which 8 litres are drawn and is then filled with water. This operation is performed three more times. The ratio of quantity of wine left in the cask to that of the water is 16: 81. How much wine did the cask hold originally?

18 litres
32 litres
42 litres
24 litres

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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.

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

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Alligation or Mixture problems
A vessel contains 80 litres of milk. 16 litres of milk was taken out of the vessel and replaced by water. Then 16 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much milk is now left in the vessel?

96.40 litres
50.36 litres
32.76 litres
40.96 litres

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Alligation or Mixture problems
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

20
10
25
21

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