Aptitude - Alligation or Mixture - Discussion

Discussion Forum : Alligation or Mixture - General Questions (Q.No. 8)
8.
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
26.34 litres
27.36 litres
28 litres
29.16 litres
Answer: Option
Explanation:

Amount of milk left after 3 operations = 40 1 - 4 3  litres
40

   = 40 x 9 x 9 x 9 = 29.16 litres.
10 10 10

Discussion:
67 comments Page 1 of 7.

Anil said:   2 decades ago
How it is possible. Please explain.

Umesh said:   2 decades ago
I'm also confused.

Nlff said:   1 decade ago
The description of the problem is ambiguous.

Nikki said:   1 decade ago
Its a formula.

Priya said:   1 decade ago
It's-

[a(1-x/a)n]

here a=initial quantity,
x=quantity taken out,
n=raised power of small bracket (no. of action
repeated)

Ram Prakash Keshri said:   1 decade ago
Not getting the way its solved.

Hary said:   1 decade ago
Could any body provide the procedure for solving it in another way rather than mugging up the formula.

Sravya said:   1 decade ago
Dont mind this is too long but i have a procedure to explain

Consider 3 times added water as 3 cases

case 1:after removal of milk and addition of water
water,milk are 4,36 lit ratio is 1:9

case2:when 4 lit are removed in that mix water,milk are (1/10)*4,(9/10)*4 of that mix
so presently water=4-2/5=18/5,milk=36-18/5=162/5
after addition of water,milk is same quantity but water=(18/5)+4
=38/4

case3:now ratio of water,milk=38:162=19:81
after removal of water,water,milk are (19/100)*4,(81/100)*4
so 19/25, 81/25
now milk=(162/5)-(81/25)=729/25=29.16 lit
antha length vodu anna dilogue gurthostundi kada so its simple to remember formula its better if we have only 1 or 2 cases

M.v.krishna said:   1 decade ago
Given amount of milk = 40 lit.

Amount of milk taken out = 4 lit.

Remaining milk = 36 lit.

Given it is replaced with water and process repeated for twice.

Let us consider it is not replaced with water and process repeated for twice.

Then amount of milk = 36-4-4 = 28 lit.

Now logic:.

Now let us consider it is replaced with water and process repeated for twice.

Because of mixing water and taking 4 lit out from mixture, the amount of milk should be grater than 28 lit.

Only option (d) is greater than 28 lit.

SANTHOSH said:   1 decade ago
Krishna your logic is good.


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