Amit has a container filld completely with 80% milk and 20% water. 5 litres of the solution is removed and replaced with water. then 15litres of the solution is removed and replaced with water. the milk % is now 55% . what is the capacity of the container in litres?

• answer is 60 litre (source: bit.ly/2dFIEVU)
• 8 years agoHelpfull: Yes(3) No(1)
• The capacity is 60 liters.
  
  This is easy to check, since in the beginning there is then 48 l milk and 12 l water, then 44 l milk and 16 l water and finally 33 l milk and 27 l water, which means 55% milk.
  
  To find the answer you use that the amount of milk scales with the milk percentage, so the following equations apply, where m is amount of milk in liters at the start, and p is percentage of milk after mixing in 5 l of water:
  
  m / 80% = (m - 4) / p = (m - 4 - 15 p) / 55%
  use outer ones to find linear relation between m and p, then make quadratic equation and solve.
  
  
  
  
• 9 years agoHelpfull: Yes(1) No(6)
• IF OPTIONS GIVEN...THEN BY 60......
  
  1 - 5/60 = 1- 1/12 = 11/12
  1 - 15/60 = 1 - 1/4 = 3/4
  
  80 * 11/12 * 3/4 = 55
• 8 years agoHelpfull: Yes(1) No(8)
• Answer is 80
  let capacity=x;
  
  difference b/w milk %'s:25 i.e, 25%(x)-->20 liters of water
  so capacity of container is:4*20=80liters
  
  
• 8 years agoHelpfull: Yes(1) No(8)
• Let capacity =100 l
  ratio of milk and water 4:1
  water in 95 l = (1/5)*95=19 + 5 l added then it became 24 l.
  again on finding ratio 24:76 =6:9
  water in 85 l(100-15)= (6/25)*85=20.4 + 15 l water in became 35.4 l (100-35.4=64.6 milk in 100 l)
  (64.6/100)=(55/x)
  x=85.13 l capacity Ans
  
  
• 9 years agoHelpfull: Yes(0) No(11)
• and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners See details
  careerbless.comsearch careerbless.comShare/Follow
  Home > Quantitative Aptitude > Aptitude Questions - Discussion Board
  Questions Ask Question Tags Users
  Sign in
  Discussion Board
  showing 1-1 of 1 (answers : 1, comments : 0), sorted newest to the oldest
  Question
  Ramesh has a container filled completely with
  80
  %
  80% milk and
  20
  %
  20% water.
  5
  5 litres of the solution is removed and replaced with water. Then,
  15
  15 litres of this solution is removed and replaced with water. The milk percentage is now
  55
  %
  .
  55%. Which of the following can be the capacity of the container (in litres)?
  (a)
  20
  
  
  20 (b)
  40
  
  
  40 (c)
  50
  
  
  50 (d)
  80
  
  
  80 (e) None
  
  This question is useful (2) This question is not useful (0) Comment Answer
  mixtures & alligations
  10 months ago, anu
  
  
  1 Answer
  Ans:
  60
  60 litre (None from the choices)
  
  Let capacity of the container
  =
  x
  =x
  Then, initial quantity of milk
  =
  0.8
  x
  =0.8x
  
  0.8
  x
  (
  1
  −
  5
  x
  )
  (
  1
  −
  15
  x
  )
  =
  0.55
  x
  ⇒
  16
  (
  1
  −
  5
  x
  )
  (
  1
  −
  15
  x
  )
  =
  11
  ⇒
  16
  x
  2
  (
  x
  −
  5
  )
  (
  x
  −
  15
  )
  =
  11
  ⇒
  16
  (
  x
  2
  −
  20
  x
  +
  75
  )
  =
  11
  x
  2
  ⇒
  16
  x
  2
  −
  320
  x
  +
  1200
  =
  11
  x
  2
  ⇒
  5
  x
  2
  −
  320
  x
  +
  1200
  =
  0
  ⇒
  x
  2
  −
  64
  x
  +
  240
  =
  0
  ⇒
  (
  x
  −
  60
  )
  (
  x
  −
  4
  )
  =
  0
  ⇒
  x
  =
  60
• 7 years agoHelpfull: Yes(0) No(0)