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 17 of 20.
ADITYA PANDITA said:
7 years ago
@All.
The reason in the last step 8/5 is multiplied with 1/8 (or you could say 8/5 is divided by 8) is because we have found x in liters and the answer is required in parts. The 8 that we have used to divide in the last step is not the total 8 parts but it is the 8 liters we have assumed in the beginning of the answer.
The reason in the last step 8/5 is multiplied with 1/8 (or you could say 8/5 is divided by 8) is because we have found x in liters and the answer is required in parts. The 8 that we have used to divide in the last step is not the total 8 parts but it is the 8 liters we have assumed in the beginning of the answer.
(7)
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.
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?
Mansi said:
6 years ago
Very helpful, thanks for helping @Surendrareddy.
Tanmay said:
6 years ago
Can anyone Explain the formula used in these question?
Mir said:
6 years ago
When a mixture is drawn, both syrup and water is drawn equally.
So, if 1 part from water and 1 part of syrup(total 2 parts) is drawn, the ratio of 3:5 becomes 2:4. When replaced wit 2 parts of water, gives the ratio 4:4 i..e 1:1.
Therefore mixture drawn is 2/8 or 1/4.
So, if 1 part from water and 1 part of syrup(total 2 parts) is drawn, the ratio of 3:5 becomes 2:4. When replaced wit 2 parts of water, gives the ratio 4:4 i..e 1:1.
Therefore mixture drawn is 2/8 or 1/4.
(1)
Tanzid said:
6 years ago
3:5 becomes 4:4, So change in syrup is (5-4) in 5 units so = 1/5.
Santosh said:
5 years ago
Assume 30L water.
50L syrup.
Remove 20L liquid.
Than water will be 20L and syrup is 40L.
Add this 20L to water than 40L and 40L.
20/100 = 1/5.
50L syrup.
Remove 20L liquid.
Than water will be 20L and syrup is 40L.
Add this 20L to water than 40L and 40L.
20/100 = 1/5.
(3)
Andy said:
5 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.
Shivangi said:
5 years ago
Final(syrup)=initial(syrup)*(1-(qt_replaced/total_mix).
X is a mixture replaced with water.
p is the total quantity of mixture.
4/8=5/8(1-x/p).
We need to find x/p which is 1/5 i.e answer.
X is a mixture replaced with water.
p is the total quantity of mixture.
4/8=5/8(1-x/p).
We need to find x/p which is 1/5 i.e answer.
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