Latest Elitmus Aptitude Question SOLUTION: Q. There is a cask full of milk. E litres are drawn from the cask, it is the filled with water. This process is repeated. Now the ratio of milk to water in the cask is 16:9. What i

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Q. There is a cask full of milk. E litres are drawn from the cask, it is the filled with water. This process is repeated. Now the ratio of milk to water in the cask is 16:9. What is the capacity of cask in litres.

Asked In Elitmus jasna (10 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Himanshu upadhyay  (10 years ago)

let x be the initial qty.
after one replacement proportional of milk left x-e/x,after two (x-e/x)^2,
the ratio is given as 16:9 i.e milk to water ratio,milk would be 16/25
(x-e/x)^=16/25
x-e/x=4/5
1-(e/x)=4/5
1-4/5=e/x
1/5=e/x
x=5E
i think the process is done two times..

Is this solution Helpfull? Yes (19) | No (2)  

sanjana  (10 years ago)

Final conc= Initial conc* [1-(Amount replaced in each operation/total amount)]^no. of times operation is repeated
so 16/25=1*[1-(E/Capacity)]^2
=>4/5=1-[E/cap]
=>1-4/5=E/Cap
=>1/5=E/Cap
=>cap=5E(Ans)

Is this solution Helpfull? Yes (3) | No   

amrita kumari  (10 years ago)

4E
Formula:

X(1-E/X)^2=9/16
1-E/X=3/4
X=4E

Is this solution Helpfull? Yes (1) | No (16)  

sasmita sahoo  (10 years ago)

can u explain ths can't understand

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Himanshu upadhyay  (10 years ago)

milk/water ratio is given 16:9
it would have 16/25 parts of milk and 9/25 parts of water.
now,let initial qty be x, take E liter of milk and replace it with water,if E liter is taken out,
the Qty of milk left =x-E
so the fraction of milk after one replacement =X-E/X,similarly
for second time also it would be X-E/X,So after two replacement milk would be
(X-E/X)^2=16:25(GIVEN)
solve from here..
main point to understand is that,we are taking about milk left/original qty.

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ravi  (10 years ago)

question is There is a cask full of milk. E litres are drawn from the cask, it is the filled with water. This process is repeated until the ratio of milk to water in the cask is 16:9. What is the capacity of cask in litres.

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Subhajit Saha  (10 years ago)

there is a two mixed series.
1st one- 8,14(8+6),20(14+6) i.e 6+ in every csr.
2nd one- 3,6(3+3),*(i.e it will be 6+3=9)
so its 9

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