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.
Gowthami said:
7 years ago
@Guru.
The explanation is very impressive. Thankyou.
The explanation is very impressive. Thankyou.
Manisha dambe said:
7 years ago
We know that water is 3 part and syrup is 5 part.
So total amount of mixture must be multiple of 8,
If we take 40 lit mixture.
It must contain 15 lit water and 25 lit syrup.
Now we have to make it 1:1.
i.e-20 lit water and 20 lit syrup.
Now we have to draw 5 lit of syrup from the mix.
When we drew out 8 lit of mix then only it contains 5 lit syrup.
8 lit of water added to the mix makes water and syrup 1:1.
8 out of 40 is 1/5.
So total amount of mixture must be multiple of 8,
If we take 40 lit mixture.
It must contain 15 lit water and 25 lit syrup.
Now we have to make it 1:1.
i.e-20 lit water and 20 lit syrup.
Now we have to draw 5 lit of syrup from the mix.
When we drew out 8 lit of mix then only it contains 5 lit syrup.
8 lit of water added to the mix makes water and syrup 1:1.
8 out of 40 is 1/5.
Mounika said:
7 years ago
Can anyone explain, how it is obtained?
(3(x-y)/8)+y=5 (x-y)/8.
(3(x-y)/8)+y=5 (x-y)/8.
Mahfujul Hoque said:
7 years ago
Good explanation, it is very helpful, Thanks @Victor.
Kavya.GV said:
7 years ago
Excellent explanation @Surendrareddy.
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.
Revathi said:
7 years ago
@Surrendar.
Nice explanation, thanks.
Nice explanation, thanks.
Flora said:
7 years ago
3/8+5/8x=1/2,
5/8x=1/8,
x=1/5.
5/8x=1/8,
x=1/5.
Naveen Gaddam said:
7 years ago
In Mixture: 3 parts = water and 5 parts=Syrup.
Given: 5 parts of Syrup(S) ====> 3 parts of Water(W).
So,
for 5 parts of Syrup --> 3 parts Water.
How much for 1 part Syrup --> water=?
1 part syrup= 3/5=0.6 water.
We need to remove 1 part water and 0.6 part syrup and replace with water to equal the mixture= 4S+4W.
The removal mixture of 1.6 parts which is 20% of 8 parts = 20% = 20/100 = 1/5.
Given: 5 parts of Syrup(S) ====> 3 parts of Water(W).
So,
for 5 parts of Syrup --> 3 parts Water.
How much for 1 part Syrup --> water=?
1 part syrup= 3/5=0.6 water.
We need to remove 1 part water and 0.6 part syrup and replace with water to equal the mixture= 4S+4W.
The removal mixture of 1.6 parts which is 20% of 8 parts = 20% = 20/100 = 1/5.
Kabali khan said:
7 years ago
Nice, Thanks @Flora.
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