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Q:

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:

A) 75 liters B) 100 liters
C) 150 liters D) 120 liters
 
Answer & Explanation Answer: D) 120 liters

Explanation:

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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Filed Under: Alligation or Mixture