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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:

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: Correct Answer 120 liters

Wine (left)Water (added)=343169

 

It means   Wine (left)Wine(initial amount)=343512  ∵ 343+169 = 512

 

Thus ,       

343x=512x1-15K3

 

 ⇒343512=783=1-15k3

 

=> K = 120

Thus the initial amount of wine was 120 liters.

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