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 9 of 10.
Shiv said:
4 years ago
Only wine 8 liters
and 3 times operation.
So, 8 * 3=24.
and 3 times operation.
So, 8 * 3=24.
(17)
MaraM said:
1 decade ago
Hello anybody explain of to me.
81 is how its coming?
81 is how its coming?
Govind Prajapati said:
5 years ago
How 16:65 is converted to 16:81? Please explain me.
(1)
Pallavi Jha said:
1 decade ago
Can anyone explain why it is divided by x?
Moideen said:
7 years ago
Well explained, Thanks @ Jayaraj @Jyoti.
Prashant Shrestha said:
6 years ago
How come x(1-8/x)^4 = [x(1-8/x)^4] /x?
Rahul said:
1 decade ago
Is another easy method for this problem?
Sourav said:
1 decade ago
How did quantity of water become x?
Naeem said:
7 years ago
How come 81 in the denominator?
Himanshu said:
1 decade ago
Well explained Bappa.
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