Latest Elitmus Aptitude Question SOLUTION: There is csk full of milk.'E' litres are drawn from the cask and replaced by water.this process is repeated.now the ration of milk and water in cask is 16:9.what is capacity of cas

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There is csk full of milk.'E' litres are drawn from the cask and replaced by water.this process is repeated.now the ration of milk and water in cask is 16:9.what is capacity of cask in litres

Asked In Elitmus Anuj kumar (11 years ago)

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kratika jain  (11 years ago)

capacity 5E
milk finally +nt= 16/25
x(4/5)*(4/5) implies (1/5)*x was drawn in each turn...
x/5=E thus x=5E

Is this solution Helpfull? Yes (10) | No (1)  

Shobhit Varshney  (11 years ago)

total milk=xE liters
after first replacement milk=(x-1)E and water= E
after second replacement milk=(x-2)E and water=2E
ratio= (x-2)E/2E=16/9
X=50/9E liters

Is this solution Helpfull? Yes (9) | No (4)  

sourav  (11 years ago)

cant be determined
bcz....no. of repetation is nt given

Is this solution Helpfull? Yes (6) | No (3)  

Dushyant Kumar  (11 years ago)

x=5E.
let cask capacity be x
(x*(x-E)/x*(x-E)/x)/((x-(x*(x-E)/x*(x-E)/x))=16/9

Is this solution Helpfull? Yes (2) | No   

Azizul Rehman  (11 years ago)

The total capacity is 5l and E=1.
By Assuming Total value as X and replaced value as E and putting in [X(1-(Y/X)^n]
we get
[X(1-(E/X)^2] would be value or remaining milk
and so Water added would be X-[X(1-(Y/X)2] (Total capacity- Milk present=Water)

And putting against the given ratio of 16:9
X-[X(1-(Y/X)2]/X-[X(1-(Y/X)2]=16/9
Solving would give the result of X=5 and E=1
:)

Is this solution Helpfull? Yes (2) | No (1)  

rohan chawla  (11 years ago)

E=(9/25)X

Solve for any values of E and X

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KISHOR KUNAL  (11 years ago)

answer is 7 ltr.
let capacity of cask is y ltr,when the 1st time E ltr milk is replaced by water,then the ratio becomes (y-E)/E,next time ratio becomes (y-E)^2/E^2 & so on as we know that 9 is the square of 3,and 9 has no other power of any no,so e=3 and y-3=4 hence y=7 ltr.

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naga sarath chand  (11 years ago)

capacity = 25*E/9

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