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 4 of 7.

Sowmya said:   1 decade ago
First the milk had removed and replace by water it is 1 time later it had repeated for 2 times.

So total 1+2 = 3 times.

So the value of n is taken as 3.

Raj said:   8 years ago
It compare with the basic formula, to calculate the amount in case of Simple interest but here rate is negative.

It is more or less analogous to that.

Manoj Kumar said:   1 decade ago
Hope guys. This will help you.

40-4 == taken out 10% milk == 36.

36-4 == taken out 10% milk == 32.40.

32.40 == taken out 10% milk == 29.16.

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)

Anvesh said:   1 decade ago
For this type of questions the formula is a(1-b/a) whole power n.

a = Initial quantity.
b = Taken out quantity.
n = Nor of times.

Akash Shirture said:   3 years ago
4/40 ratio = 1/10.
Process 2 times so milk ratio 1000:729(1000-729=271water).
40/1000 = 0.04.
0.04 * 729 = 29.16.
(4)

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

Nikita said:   1 decade ago
Why is 3 taken as the power whereas it should be 2 as its repeated two times. Someone please explain?

Seema said:   1 decade ago
Only 2 times is given in the question. How can you say the action was repeated thrice and cube that.

Vishal Pathak said:   6 years ago
Step1: 40 - (10% of 40) = 36.
Step2: 36 - (10% of 36) = 32.4.
Step3: 32.4 - (10% of 32.4) = 29.16.
(40)


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