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 11 of 20.
Bala said:
9 years ago
Hi, Can anyone clear my doubt?
How do they get this step?
Quantity of water in new mixture = 3 -((3x/8)+ x) litres.
How do they get this step?
Quantity of water in new mixture = 3 -((3x/8)+ x) litres.
Jerry said:
1 decade ago
Why do we add y in this step 3/8[x-y] + y = 5/8[x-y] ?
The rest of the steps are perfectly understood! Thanks :),.
The rest of the steps are perfectly understood! Thanks :),.
Vikas said:
1 decade ago
Yes mahi, something wrong with Kiran's answer.
3/8= 37.5%
5/8= 62.5%
And its not 40% and 60% as told by kiran
3/8= 37.5%
5/8= 62.5%
And its not 40% and 60% as told by kiran
Hari said:
1 decade ago
As kiran said about getting the percentage. How its possible, can you explain it clealy of getting 60%, 40 %.
Mayank said:
1 decade ago
40% of 8 parts is 3.2 and 60% is 4.8 how it's possible to get them as 3 and 5 as this is a big difference .
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)
Neeru said:
10 years ago
I think density of both ingredient is of some importance. That can be further related to concentration.
Mouli ejj said:
6 years ago
Total mixture=3+5=8.
Take lcm of 1/3+1/5=8/5.
The hole 8/5 dived by 8 -----> 8/5/8.
8/5*1/8 = 1/5.
Take lcm of 1/3+1/5=8/5.
The hole 8/5 dived by 8 -----> 8/5/8.
8/5*1/8 = 1/5.
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)
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.
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