A vessel contain milk and water in the ratio 3:2. The volume of content is increased by 50% by adding water to this. From the resultant solution 30 L is withdrawn and then replaced with water. The resultant ratio of milk and water in the final solution is 3:7. Find original volume of the solution ?

1) 120
2) 80
3) 60
4) 48

• 80 litres
  
  suppose original sol had 6x ltr milk and 4x ltrs of water in 10x ltr solution.
  Adding water to increase it by 50% means
  6x milk and 9x ltr water in 15 x ltrs.
  From the resultant solution 30 L is withdrawn and then replaced with water.
  Then milk is 6x-12 and water is 9x+12 ltrs.
  
  (6x-12)/(9x+12)=3/7
  x=8
  
  so original sol is 10x=80 ltrs.
  
• 12 years agoHelpfull: Yes(0) No(1)