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 8 of 10.
Srihu said:
9 years ago
Thanks, @Pravu.
You explained the derivation of the formula is very well.
You explained the derivation of the formula is very well.
CHETHAN K P said:
3 years ago
Wine:water = 16 : 65
Total =16 + 65 = 81.
Now wine: total = 16:81.
Total =16 + 65 = 81.
Now wine: total = 16:81.
(16)
Purushuttam said:
7 years ago
Have there any explanation of these laws [x(1-y/x)*n] where y<x?
Prajakt said:
1 decade ago
Can any one please explain ....How the quantity of water become x?
Mahesh said:
5 years ago
The resulting ratio is 16:65.
How we get 16/81?
Please explain.
How we get 16/81?
Please explain.
Sudheer said:
1 decade ago
Its 3 more times not "more then three times" so we used mul.
Gaurav Gupta said:
9 years ago
Good explanation @Ayush. You cleared the doubt everyone had.
Sibi said:
1 decade ago
I don't understand this problem. Please explain me clearly.
Vishnu vardhan said:
6 years ago
Yes, Total wine left = (16/81) * (initial litres of wine).
Vivek kumar said:
6 years ago
From where 16:81 came, there is 16:65? can anyone explain.
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