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 7 of 10.
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.
Aniket said:
8 years ago
What if instead of wine it would have been 6 litres of solution of wine and water for second time?
(1)
XXX said:
9 years ago
Step 1: (x - 8)^4/x = 16/81.
Step 2: (x - 8)^4/x = (2/3)^4.
Therefore, x - 8/x = 2/3.
So, x=24.
Step 2: (x - 8)^4/x = (2/3)^4.
Therefore, x - 8/x = 2/3.
So, x=24.
Nishad raut said:
1 decade ago
65 is given and 16 is assumed..so ans is assumed..
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Mayank said:
1 decade ago
Please tell what is the mean of performs operations more then three times. And why multiply x.
Shanjev said:
1 decade ago
Why the quantity of wine left in cask after 4 op is DIVIDED BY X, can anyone explain me?
Jana said:
1 decade ago
Can anyone please explain me how "x" came in the denominator in the 3rd step?
Sundar said:
9 years ago
How can did wine left ratio is 16:65 to change 16:81 please explain anybody?
Yogi damle said:
1 decade ago
If the answer is 24 liters then we cannot take out 8 liters of wine 4 times.
Siddu said:
9 years ago
If 16x/81 is written based on the LHS it converted to 2/3 then what about x.
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