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:
203 comments Page 7 of 21.
Kiran said:
2 decades ago
As there are 3 parts of water and 5 parts of syrup.
total upto 8 parts.In terms of percentage,syrup is 60% and water is 40%.So syrup content to be reduced to 10% and water content to be increased to 10%,total constitutes to 10%+10%=20%.
finally 20%=20/100=1/5
total upto 8 parts.In terms of percentage,syrup is 60% and water is 40%.So syrup content to be reduced to 10% and water content to be increased to 10%,total constitutes to 10%+10%=20%.
finally 20%=20/100=1/5
(1)
Suresh said:
8 years ago
It's simple, but we can't understand what's meaning of question so the meaning of the question is how syrup is removed in the mixture.
So they said half water +half syrup=8.
Then syrup remove is 5-4 =1.
Then in ratio 1/5 parts of syrup is removed that's it.
So they said half water +half syrup=8.
Then syrup remove is 5-4 =1.
Then in ratio 1/5 parts of syrup is removed that's it.
Vishesh said:
6 years ago
The ratio of syrup and water is 3:5 after replacing it will half-half(equal) -> 1:1
Because we are adding only water so the ratio of syrup will be same then ratio 1:1 become
5:5 means 2 ratio water is adding, total ratio is 5 + 5=10.
So 2/10=1/5
Because we are adding only water so the ratio of syrup will be same then ratio 1:1 become
5:5 means 2 ratio water is adding, total ratio is 5 + 5=10.
So 2/10=1/5
(2)
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:
10 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:
1 decade 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:
5 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:
3 years 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.
(28)
Vinod said:
1 decade 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.
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