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:
201 comments Page 11 of 21.
Murali said:
2 decades ago
I did not get last Step. Could you please explain how it was?
So, part of the mixture replaced =
(8/5) * (1/8) =1/5.
So, part of the mixture replaced =
(8/5) * (1/8) =1/5.
Mohan said:
1 decade ago
Hey guys I think this is useful formula for this question:
1/2(difference in parts/greater part).
1/2(5-3/5).
1/5.
1/2(difference in parts/greater part).
1/2(5-3/5).
1/5.
Bala said:
1 decade 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:
2 decades 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:
6 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)
Mrityunjay Yadav said:
4 months ago
At last, we have to find 8/5 litre is how many litres of 8 litres.
So it is 8/5 divide by 8 = 8/5 * 1/8.
So it is 8/5 divide by 8 = 8/5 * 1/8.
(4)
Neeru said:
1 decade ago
I think density of both ingredient is of some importance. That can be further related to concentration.
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