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 2 of 20.
Viji said:
3 years ago
We need 2 parts of water to be added to make water and syrup equal then.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items=2 (Water, Syrup).
= 2/10.
= 1/5.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items=2 (Water, Syrup).
= 2/10.
= 1/5.
(233)
Som said:
3 years ago
It is not Volume of vessel.
It's a Volume of mixture at initial.
It's a Volume of mixture at initial.
(1)
Sukumar Natarajan said:
3 years ago
Consider: water is 30 lr and Syrup is 50 lr.
We have to take out 10lr syrup from 50lr. it is clearly 20%.
Note:
It means we are taking out 20 % (= 10 lr) syrup and 20 % (= 6lr) water.
Now we have 40-liter syrup and 24-liter of water remaining. Then we are adding 16-liter water.
Now we have 40-liter syrup and 40-liter water.
We have to take out 10lr syrup from 50lr. it is clearly 20%.
Note:
It means we are taking out 20 % (= 10 lr) syrup and 20 % (= 6lr) water.
Now we have 40-liter syrup and 24-liter of water remaining. Then we are adding 16-liter water.
Now we have 40-liter syrup and 40-liter water.
(17)
Kamaksha Puri said:
4 years ago
Let 100 ltr mixture.
So 5/8x 100=62.5 ltr syrup.
3/8x100= 37.5 ltr water.
We need to remove syrup and add that much quantity of water so make it 1:1
62.5- x/37.5+x=1/1,
62.5- x =37.5 +x.
2x =25.
x = 12.5 (need to remove from syrup and this quantity into water),
12.5/62.5(syrup) = 1/5.
So 5/8x 100=62.5 ltr syrup.
3/8x100= 37.5 ltr water.
We need to remove syrup and add that much quantity of water so make it 1:1
62.5- x/37.5+x=1/1,
62.5- x =37.5 +x.
2x =25.
x = 12.5 (need to remove from syrup and this quantity into water),
12.5/62.5(syrup) = 1/5.
(23)
SAGAR said:
4 years ago
Well said @Surender.
Good explaintion I am not getting this but you solve very well & I get it now.
Good explaintion I am not getting this but you solve very well & I get it now.
(4)
Prakash said:
4 years ago
Well said, Thank you so much @Ameer.
Saru Priya said:
4 years ago
@Kiran.
Nice explanation.
Nice explanation.
(2)
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)
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)
Gokul Ramakrishnan said:
4 years ago
Well said, nice answer. Thanks @Kiran.
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