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 9 of 21.
Sam said:
1 decade ago
Great surendra reddy.
Kamini Jain said:
1 decade ago
I did not get it why 8/5 is multiplied with 1/8.
Baljeet said:
1 decade ago
Good victor.
Vky said:
1 decade ago
Here x=8/5 is the amount in liters that has been added to make up 8 liters in total. This added quantity constitutes some part of the total volume. Right? So, this some part is stated as (x/8). Hope everyone's doubt on this has been cleared. => (8/ (5*8) ) =1/5.
1/5th is the part (not liters) from the total 8liters that has been added. Thank You.
1/5th is the part (not liters) from the total 8liters that has been added. Thank You.
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).
Ami said:
1 decade ago
Suppose initial quantity of mixture is 1 lit.
ratio water:syrup = 3:5,so syrup is 3/8
alligation method
3/8 1(pure water so taken as 1)
1/2
1/2 1/8
qt of mixture 1/2
-------------= ---
qt of water 1/8
1-x/x=4,so x=1/5 (x= quatity of water removed or qt. of syrup
withdraw)
ratio water:syrup = 3:5,so syrup is 3/8
alligation method
3/8 1(pure water so taken as 1)
1/2
1/2 1/8
qt of mixture 1/2
-------------= ---
qt of water 1/8
1-x/x=4,so x=1/5 (x= quatity of water removed or qt. of syrup
withdraw)
Susmitha said:
1 decade ago
Here given 8 parts of total, 3 parts water &5 parts syrup. Then we equal the both water & syrup ratio. Now we add the 1 part of syrup from 5 parts of syrup i.e;1/5 then it will become equal parts of water & syrup.
The answer is:1/5.
The answer is:1/5.
Kousik Maji said:
1 decade ago
Here total mixture is(3+5)=8.
Now syrup=5/8 and water=3/8.
If we take some mixture and added same amount of water then amount of syrup will be 1/2 and water 1/2.
Now the amount of syrup present in removed mixture is 5/8-1/2=1/8.
Now 5/8 syrup present in mixture 1.
1/8 ........................(8/5)X(1/8)=1/5.
Now syrup=5/8 and water=3/8.
If we take some mixture and added same amount of water then amount of syrup will be 1/2 and water 1/2.
Now the amount of syrup present in removed mixture is 5/8-1/2=1/8.
Now 5/8 syrup present in mixture 1.
1/8 ........................(8/5)X(1/8)=1/5.
N.anusha said:
1 decade ago
Thanks @Kousik Maji for your good solution but I am confused with bellow sentence please give clear cut info.
1/8 ........................(8/5)X(1/8)=1/5.
1/8 ........................(8/5)X(1/8)=1/5.
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?
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