In a vessel, there are 10 liters of alcohol. An operation is defined as taking out five liters of what is present in the vessel and adding 10 liters of pure water to it. What is the ratio of alcohol to water after two operations?
a)1 :5
b)2 : 3
c)1:6
d)3 : 2

• ans: a)1:5
  After operation 1: alcohol:5L and water:10L so it's 1:2
  water in 10L solution=10*2/3=20/3
  So In operation 2: 10L is added to vessel that's give 20/3+10=50/3
  total solution after operation2 is = 20L ie... water=50/3 and alcohol=10/3.
  so ratio of alcohol to water is 10/3:50/3 == 1:5
  
• 10 years agoHelpfull: Yes(22) No(4)
• a is the answer,after 1st operation 5 litre alcohol and 10 litre water,15 litre contains 5 litre alcohol 5 lt contains 5/3 alcohol,so left alcohol is 3.34 and 5 litre solution contains 3.34lt water so total water after 2 operation is 16.66 ,so the ratio is approx 3.34/16.66....
• 10 years agoHelpfull: Yes(4) No(2)
• d) 3:2
  (10+5)/10
  
• 10 years agoHelpfull: Yes(1) No(4)
• plz xpl it clrly
• 10 years agoHelpfull: Yes(1) No(0)
• a)1:5
  .......
• 10 years agoHelpfull: Yes(1) No(0)
• 2:3
  when 10 l alcohol is present on adding 10l water .. total soln is 20l 5l is taken out so.
  10:15
• 10 years agoHelpfull: Yes(0) No(3)
• Okay Answer is 15firstly 10 liter of alcohol is present In First Operation we removed 5 liter of Alcohol that means right now 5 liter alcohol is leftand then we add 10 liter water note this water will not affect ratio of alcoholso now at present 5 liter alcohol and 10 liter water is present so after First Operation ratio is 12Now in Second Operation we removed 5 liter from solution amount of Alcohol that is removed is 13513 came by taking ratio 12so left alcohol is 5-53103same way amount of water removed is 235left amount is- 10-103203Now we add 10 liter of water again this have no effect on ratio of water so20310-503now ratio alcohol water 103 503 15answer
• 10 years agoHelpfull: Yes(0) No(0)
• Final concentration = Initial concentration
  (
  1
  −
  replacement quantity
  final volume
  )
  (1−replacement quantityfinal volume)
  Final concentration =
  =
  1
  ×
  (
  1
  −
  10
  15
  )
  =
  1
  3
  =1×(1−1015)=13
  Final concentration =
  1
  3
  ×
  (
  1
  −
  10
  20
  )
  =
  1
  6
  13×(1−1020)=16
  So ratio of alcohol : water = 1 : 5
• 7 years agoHelpfull: Yes(0) No(0)