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 20 of 21.
Mahi said:
2 decades ago
How we will get 60% of syrup from 5 parts of syrup and 40% of water from 3 parts of water which is explained in Kiran's answer?.
Please explain in detail. Please.
Please explain in detail. Please.
Krishjlk@gmail.com said:
2 decades ago
Your great surender. Thanks a lot. Really that is very good explanation.
Instead of remembering the formulas you came with the theory.
And concept. Good excellent. Thank you for your post.
Instead of remembering the formulas you came with the theory.
And concept. Good excellent. Thank you for your post.
Krishan said:
2 decades ago
@Surender reddy. its nice approach to solve it thanks..
Bindhureddy said:
2 decades ago
@surendrareddy. Your way of explanation is good. Moreover it is easy to do.
Amuthan said:
2 decades ago
Great work Surendara Reddy.
Uma said:
2 decades ago
I am agree with Siri. Your way of explanation is also excellent. Thanks.
Nitesh said:
2 decades ago
@ Surendrareddy.
You are rocking. This is the right way.
You are rocking. This is the right way.
Vigneshwaran K said:
2 decades ago
Hai I can't understand the steps can you please give me the understandable steps.
Thank you.
Thank you.
Madhu said:
2 decades ago
Excellent Kiran! Your answer is very nice.
SurendraReddy said:
2 decades ago
NOTE: Liquid = Mixed substance (water,syrup)
Let the volume of the vessel = x liters.
Out of this x liters 3/8(x) is water & 5/8(x) is syrup.
Let y liters of liquid is taken out. So out of this y liters 3/8(y) is water and 5/8(y) is syrup.
The water in the remaining liquid is 3/8(x-y) .
The syrup in the remaining liquid is 5/8(x-y).
Now y liters of water is added to the remaining liquid so that the final liquid contains half water and half syrup.
=> 3/8(x-y)+y=5/8(x-y)
=>y=1/5(x)
or y = 1/5(x).
Answer: The amount of liquid drawn out = The amount of water added = 1/5 of x.
Let the volume of the vessel = x liters.
Out of this x liters 3/8(x) is water & 5/8(x) is syrup.
Let y liters of liquid is taken out. So out of this y liters 3/8(y) is water and 5/8(y) is syrup.
The water in the remaining liquid is 3/8(x-y) .
The syrup in the remaining liquid is 5/8(x-y).
Now y liters of water is added to the remaining liquid so that the final liquid contains half water and half syrup.
=> 3/8(x-y)+y=5/8(x-y)
=>y=1/5(x)
or y = 1/5(x).
Answer: The amount of liquid drawn out = The amount of water added = 1/5 of x.
(4)
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