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 18 of 20.
Sriman said:
5 years ago
Can anyone please explain how 8/5X1/8 come? Please explain.
(7)
Tinku said:
5 years ago
Can anyone tell me, how to find a total mixture here?
(1)
Twinkle said:
5 years ago
Simply;
(3/8) - (3x/8) + x = (4/8);
This will give x = 1/5.
(3/8) - (3x/8) + x = (4/8);
This will give x = 1/5.
(1)
Abinash Swain said:
5 years ago
3 : 5 is given.
1:1 we need,
3 : 5
1*5 : 1* 5
Difference 3 to 5 = 2
Total now 5+ 5
Then 2/ 10 ans is 1/5.
1:1 we need,
3 : 5
1*5 : 1* 5
Difference 3 to 5 = 2
Total now 5+ 5
Then 2/ 10 ans is 1/5.
(2)
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)
Tejas said:
5 years ago
According to me, the solution is;
Water : syrup
30. :50
Total =80 then if x ltr mixture we tack out then the remaining ratio will be 1:1 .So
Take option 1/4 then try 1/4of 80 =20, or we can say 20/80*100= 25% of every (water and syrup).
But here we get vale in fraction, 25%of 30 = 7.5 ., 25%of 50= 12.5,
so this value.
30 - 7.5 =. 22.5
50 - 12.5 = 37.5 + 20 = 57.5.
This value not in ratio 1:1.
So, here ve take vale 1/5 or we can say 20 %of every part. 30*1/5=6
50 * 1/5 = 10.
Thus.
50 - 10 = 40.
30 + 10 = 40 this is in Ratio 1:1.
Water : syrup
30. :50
Total =80 then if x ltr mixture we tack out then the remaining ratio will be 1:1 .So
Take option 1/4 then try 1/4of 80 =20, or we can say 20/80*100= 25% of every (water and syrup).
But here we get vale in fraction, 25%of 30 = 7.5 ., 25%of 50= 12.5,
so this value.
30 - 7.5 =. 22.5
50 - 12.5 = 37.5 + 20 = 57.5.
This value not in ratio 1:1.
So, here ve take vale 1/5 or we can say 20 %of every part. 30*1/5=6
50 * 1/5 = 10.
Thus.
50 - 10 = 40.
30 + 10 = 40 this is in Ratio 1:1.
Vishesh said:
5 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)
Devis said:
5 years ago
Let us say that the quantity in the vessel is 8x units. It has 3x water and 5x syrup.
Now, let's say we withdraw 8y units of the mixture are replace them with water. When we take out 8y units of the mixture, we are actually taking out 3y water and 5y syrup. We are adding pure water back into the vessel.
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 = 1/5k.
So, 1/5th of the mixture should be taken out and replaced with water.
Now, let's say we withdraw 8y units of the mixture are replace them with water. When we take out 8y units of the mixture, we are actually taking out 3y water and 5y syrup. We are adding pure water back into the vessel.
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 = 1/5k.
So, 1/5th of the mixture should be taken out and replaced with water.
(3)
Gokul Ramakrishnan said:
4 years ago
Well said, nice answer. Thanks @Kiran.
Raavan said:
4 years ago
Actually here is a simple way of solving.
As there are total 8 parts (3 parts water and 5 parts syrup), the question is that how much quantity of water is added to make both water and syrup half each, frankly speaking, there is no need to remove water as it is to be added again so 1 part of syrup is removed and added as water, so 1 part of 5 parts is 1/5.
That's simple.
As there are total 8 parts (3 parts water and 5 parts syrup), the question is that how much quantity of water is added to make both water and syrup half each, frankly speaking, there is no need to remove water as it is to be added again so 1 part of syrup is removed and added as water, so 1 part of 5 parts is 1/5.
That's simple.
(46)
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