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 7 of 20.
Susmitha said:
1 decade ago
Here given 8 parts of total, 3 parts water &5 parts syrup. Then we equal the both water & syrup ratio. Now we add the 1 part of syrup from 5 parts of syrup i.e;1/5 then it will become equal parts of water & syrup.
The answer is:1/5.
The answer is:1/5.
Ujwal said:
9 years ago
@Murali.
Here I want to add something regarding your confusion about the last step.
For eg, if we say 2 is what part of 8? Ans is 1/4 and how? ( 2 / 8 = 1/4 )
Similarly 5/8 is what part of 8? Ans is ( (5/8) / 8) i.e (5 / 8) * 1/8 = 1/5.
Here I want to add something regarding your confusion about the last step.
For eg, if we say 2 is what part of 8? Ans is 1/4 and how? ( 2 / 8 = 1/4 )
Similarly 5/8 is what part of 8? Ans is ( (5/8) / 8) i.e (5 / 8) * 1/8 = 1/5.
Silpa said:
9 years ago
Assume we have 80 liters of the solution. Then, we will be having 30 liters of water and 50 liters of syrup.
Let x be the % of water that we have to add to the solution, to increase the % of water to 50%.
30 + x/80 + x = 1/2.
=> x = 20.
Let x be the % of water that we have to add to the solution, to increase the % of water to 50%.
30 + x/80 + x = 1/2.
=> x = 20.
Amar said:
1 decade ago
Easy solution :
3 parts + 5 parts = 8 parts.
For equality (3+1) parts + (5-1) parts = 4 parts (equals).
Hence we need to reduce 1 part that will be from 5 parts.
Hence : 1 (part)/5(parts) is reduced.
Hope you understand.
3 parts + 5 parts = 8 parts.
For equality (3+1) parts + (5-1) parts = 4 parts (equals).
Hence we need to reduce 1 part that will be from 5 parts.
Hence : 1 (part)/5(parts) is reduced.
Hope you understand.
Radhakrishnan said:
4 years ago
Hey, their is a simple way.
Using the left value rule
Left value= intial value * (1- fraction replaced)
We need to find fraction replaced,
Left v = 1/2.
Initial value = 5/8.
Therefore;
1/2 = 5/8 * (1-f).
4/5 = 1-f.
f = 1/5.
Using the left value rule
Left value= intial value * (1- fraction replaced)
We need to find fraction replaced,
Left v = 1/2.
Initial value = 5/8.
Therefore;
1/2 = 5/8 * (1-f).
4/5 = 1-f.
f = 1/5.
(10)
Kanishka Jha said:
1 year ago
Let
The total mixture be 8 litres.
3 l is water and 5 l is syrup.
Now we need an equal quantity to be replaced as filled.
so let the quantity be x.
5-x/3+x = 1/1.
x=1.
Part that x forms the whole quantity
= 1/5.
The total mixture be 8 litres.
3 l is water and 5 l is syrup.
Now we need an equal quantity to be replaced as filled.
so let the quantity be x.
5-x/3+x = 1/1.
x=1.
Part that x forms the whole quantity
= 1/5.
(25)
Vinod said:
10 years ago
Water : Syrup. 3:5.
Water = 3x.
Syrup = 5x.
Volume = 8x.
Why liters mixture withdrawn and replaced with water.
Applying the condition.
3x-3/8y+y = 5x-5/8y.
16x = 10y.
8x = 5y.
y = 8x/5.
y = Volume/5.
Water = 3x.
Syrup = 5x.
Volume = 8x.
Why liters mixture withdrawn and replaced with water.
Applying the condition.
3x-3/8y+y = 5x-5/8y.
16x = 10y.
8x = 5y.
y = 8x/5.
y = Volume/5.
Kabalai khan said:
7 years ago
3:5 is the ratio given take the largest number in it which is 5.
as per question half of milk and syrup so, 5:5 in large number.
See the difference which is 2 of the taken ratio is 10 so answer is 1/5.
as per question half of milk and syrup so, 5:5 in large number.
See the difference which is 2 of the taken ratio is 10 so answer is 1/5.
Nandu said:
7 years ago
Water : 3 Syrup : 5 & mix = half water & half syrup.
3:5.
[(Diff between 3 & 5)
1:1 *5,
5:5,
2/10= 1/5.
(2= diff between 3 & 5)
(10= 5+5).
I Hope this is the easy method.
3:5.
[(Diff between 3 & 5)
1:1 *5,
5:5,
2/10= 1/5.
(2= diff between 3 & 5)
(10= 5+5).
I Hope this is the easy method.
Sadik shaik said:
1 decade ago
To make equal parts, we just take 1 part from syrup and replace with water to get 4 parts of water and 4 parts of syrup.
So we are replacing 1 part of syrup of 5 parts with water, so the answer is 1/5.
So we are replacing 1 part of syrup of 5 parts with water, so the answer is 1/5.
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