Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 14)
14.
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?
Answer: Option
Explanation:
Let the quantity of the wine in the cask originally be x litres.
| Then, quantity of wine left in cask after 4 operations = |  |
x |  |
1 - | 8 |  |
4 |  litres. |
| x |
 |
|
x(1 - (8/x))4 | |
= | 16 |
| x | 81 |
 |
|
1 - | 8 | |
4 | = | |
2 | |
4 |
| x | 3 |
| |
|
x - 8 | |
= | 2 |
| x | 3 |
3x - 24 = 2x
x = 24.
Discussion:
96 comments Page 10 of 10.
Mayank said:
1 decade ago
Please tell what is the mean of performs operations more then three times. And why multiply x.
Mamta said:
1 decade ago
Hi priya, thanks 4 giving formula can you explain why it is divded by x, why not by quantity of water.
Divya said:
1 decade ago
Thanks priya.
Priya said:
1 decade ago
@sanjay
Its a formula....
[a(1-X/a)n]
a=initial quantity, X=quantity taken out, n=raised power on small bracket(no. of action done)
Its a formula....
[a(1-X/a)n]
a=initial quantity, X=quantity taken out, n=raised power on small bracket(no. of action done)
Sourav said:
1 decade ago
How did quantity of water become x?
Sanjay said:
1 decade ago
Could anyone explain the method above?
I couldn't make out why x is divided when it should have been divided by the quantity of water.
I couldn't make out why x is divided when it should have been divided by the quantity of water.
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