Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 1)
1.
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Answer: Option
Explanation:
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water.
| Quantity of water in new mixture = |  |
3 - | 3x | + x |  |
litres |
| 8 |
| Quantity of syrup in new mixture = | |
5 - | 5x | |
litres |
| 8 |
 |
|
3 - | 3x | + x | |
= | |
5 - | 5x | |
| 8 | 8 |
5x + 24 = 40 - 5x
10x = 16
| x = |
8 | . |
| 5 |
| So, part of the mixture replaced = | |
8 | x | 1 | |
= | 1 | . |
| 5 | 8 | 5 |
Discussion:
198 comments Page 14 of 20.
Vishal said:
9 years ago
For 8 litre ---> full 1 part.
So, 8/5 litre --->?
So, 8/5 litre --->?
Bala said:
9 years ago
Hi, Can anyone clear my doubt?
How do they get this step?
Quantity of water in new mixture = 3 -((3x/8)+ x) litres.
How do they get this step?
Quantity of water in new mixture = 3 -((3x/8)+ x) litres.
Sandeep said:
9 years ago
Anyone, please clear my doubt.
How (3 - 3x / 8 + x) = 5x + 24?
How (3 - 3x / 8 + x) = 5x + 24?
Jomson joy said:
9 years ago
Thanks, vicllusion. It is the simple method.
Sundar said:
9 years ago
You guys all great. Knowing how to solve a problem in an easy way is great and explaining to others is a bigger than that. Great helping kind. Once again Thank you all.
Prakash said:
9 years ago
Please, anyone solve it in alligation formula.
Rajnish jha said:
9 years ago
New quantity of syrup = 5x - 5y.
New quantity of water = 3x - 3y + 8y = 3x + 5y.
They are equal to each other.
=> 5x - 5y = 3x + 5y.
=> 2x = 10y.
=> y/x = 2/10 = 1/5.
=> 8y/8x = 1/5.
New quantity of water = 3x - 3y + 8y = 3x + 5y.
They are equal to each other.
=> 5x - 5y = 3x + 5y.
=> 2x = 10y.
=> y/x = 2/10 = 1/5.
=> 8y/8x = 1/5.
C.h.udhay said:
9 years ago
Superb @Kiran.
Disha said:
9 years ago
How came 5x + 24 = 40 - 5x?
Muni said:
9 years ago
Hi.
People who didn't understand why the answer is 1/5 and not 8/5.
It's because of twist in question.
They asked what part of the total mixture.
3 part water + 5 part liquid = 8.
Assume 8 liter is the total mixture.
We got 8/5 liter now see what 8/5 liter percentage in 8 liters.
Ie (8/5) / 8.
= 8/5 * 1/8.
= 1/5.
Trick is in question. So in options they didn't mention units because its a const.
Thank you.
People who didn't understand why the answer is 1/5 and not 8/5.
It's because of twist in question.
They asked what part of the total mixture.
3 part water + 5 part liquid = 8.
Assume 8 liter is the total mixture.
We got 8/5 liter now see what 8/5 liter percentage in 8 liters.
Ie (8/5) / 8.
= 8/5 * 1/8.
= 1/5.
Trick is in question. So in options they didn't mention units because its a const.
Thank you.
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