Alligation or Mixture problems
From a cask of wine containing 25 litres, 5 litres are withdrawn and the cask is refilled with water. The process is repeated a second and then a third time. Find the quantity of wine left in the cask and also the ratio of wine to water in the resulting mixture.

16 : 46
64 : 61
61 : 64
46 : 16

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

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Alligation or Mixture problems
From a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The initial amount of wine in the container was:

100 liters
75 liters
150 liters
120 liters

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Alligation or Mixture problems
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

Rs. 180
Rs. 175.50
Rs. 169.50
Rs. 170

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