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 10 of 20.
Tamilanda said:
8 years ago
5 parts be taken as 50%.
3 parts be taken as 30%.
Equal parts syrup and water be taken,
Then water increased to 20% .
Therefore 20 /100 = 1/5.
3 parts be taken as 30%.
Equal parts syrup and water be taken,
Then water increased to 20% .
Therefore 20 /100 = 1/5.
Santosh said:
5 years ago
Assume 30L water.
50L syrup.
Remove 20L liquid.
Than water will be 20L and syrup is 40L.
Add this 20L to water than 40L and 40L.
20/100 = 1/5.
50L syrup.
Remove 20L liquid.
Than water will be 20L and syrup is 40L.
Add this 20L to water than 40L and 40L.
20/100 = 1/5.
(3)
Kalyan said:
1 decade ago
@Mahi and Kiran
Since it is 3 parts and 5 parts...totally 8.
50% of 8 is 4 and 40% of 8 is 3.
So 60% of 8 is 5 parts.
Hope you understand.
Since it is 3 parts and 5 parts...totally 8.
50% of 8 is 4 and 40% of 8 is 3.
So 60% of 8 is 5 parts.
Hope you understand.
Abd said:
9 years ago
8/5 * 1/8 is done because part of the mixture has to be replaced.
Since a part of the mixture is 1/8, the final answer is multiplied with it.
Since a part of the mixture is 1/8, the final answer is multiplied with it.
Pujitha said:
11 months ago
@Kamakshi Puri.
The question is about not removing syrup but removing a mixture of the same quantity. So, the water should be added.
The question is about not removing syrup but removing a mixture of the same quantity. So, the water should be added.
(6)
Sravya said:
5 years ago
To make the given 3:5 equal we can take out 1 from 5 and add to 3(4:4). Since 1 is taken out from syrup so, the answer will be 1/5.
(2)
Vish said:
10 years ago
Quantity of syrup = x(1-y/x) raise to n, n = 2.
Here, 8(1-3/5) raise go 2.
= 4/5.
So quantity of water = 1-4/5 = 1/5.
Here, 8(1-3/5) raise go 2.
= 4/5.
So quantity of water = 1-4/5 = 1/5.
Prateek said:
1 decade ago
Why is that nthey got 1/5 only becoz syrup is considered?
w s
3 5
+1 -1
4 4
So 1/5 is correct, right? why not 1/3?
w s
3 5
+1 -1
4 4
So 1/5 is correct, right? why not 1/3?
Murali said:
1 decade ago
I did not get last Step. Could you please explain how it was?
So, part of the mixture replaced =
(8/5) * (1/8) =1/5.
So, part of the mixture replaced =
(8/5) * (1/8) =1/5.
Mohan said:
1 decade ago
Hey guys I think this is useful formula for this question:
1/2(difference in parts/greater part).
1/2(5-3/5).
1/5.
1/2(difference in parts/greater part).
1/2(5-3/5).
1/5.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers