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:
199 comments Page 12 of 20.
Prabha prabcuteatgmaildotcom said:
1 decade ago
Mean litre, m = (l+s)/2.
m = 4.
Proportion x = (l-m)/l.
x = 5-4/5.
x = 1/5.
Pure and Simple.
m = 4.
Proportion x = (l-m)/l.
x = 5-4/5.
x = 1/5.
Pure and Simple.
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.
Manasa said:
1 decade ago
Uttam, surender and ameer has cleared out my confusion regarding this problem. Thanks a lot.
Mathkamsutra said:
1 decade ago
@Kiran how you got 60% and 40%
If I do - (3/8)*100 it gives 37.5%, How you got 60 and 40?
If I do - (3/8)*100 it gives 37.5%, How you got 60 and 40?
Akshara said:
1 decade ago
How would you taken 1/8 as a part of mixture in the last step? could you please explain?
(1)
Rakesh jha said:
1 decade ago
@Anand shaw.
Your method is good. But last passage after 4:1 can you elaborate more?
Your method is good. But last passage after 4:1 can you elaborate more?
Prakash.m said:
1 decade ago
I don't understand none of the method above said. Can anyone tell mathematically?
Andy said:
6 years ago
The ratio of water/syrup is 3:5.
So, 3/8-3x/8+x = 5/8-5x/8
Solving X, we get 1/5.
So, 3/8-3x/8+x = 5/8-5x/8
Solving X, we get 1/5.
Sheela david said:
6 years ago
Can you explain?
How can we say that mixture drawn off would be 3/8y and 5/8x?
How can we say that mixture drawn off would be 3/8y and 5/8x?
Chinmayi said:
1 decade ago
Formula for this type of question:.
(1/2) (difference in parts/greater part).
(1/2) (difference in parts/greater part).
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