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:
203 comments Page 18 of 21.
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 .
Prateek said:
1 decade ago
Why is that nthey got 1/5 only becoz syrup is considered?
w s
3 5
+1 -1
4 4
So 1/5 is correct, right? why not 1/3?
w s
3 5
+1 -1
4 4
So 1/5 is correct, right? why not 1/3?
Vipin kumar said:
1 decade ago
Water contains 3 parts and Syrup contains 5 parts, so total there are 8 parts there in the vessel.
now as asked , that in final mixture both water and syrup should be present half-half i.e 4 parts of water and 4 parts of syrup.
water syrup
initial- l3 5
final- 4 4
so,
final amount=initial amount(1-amount tobe replaced/total amount)
Note: here u should take syrup's amount not water.(If the question would be, to replace the mixture with syrup then take water's amount.
4=5(1-K/8),
K=8/5
Most questions u can solve by this , but i did not get how they got 1/5 as an answer.
now as asked , that in final mixture both water and syrup should be present half-half i.e 4 parts of water and 4 parts of syrup.
water syrup
initial- l3 5
final- 4 4
so,
final amount=initial amount(1-amount tobe replaced/total amount)
Note: here u should take syrup's amount not water.(If the question would be, to replace the mixture with syrup then take water's amount.
4=5(1-K/8),
K=8/5
Most questions u can solve by this , but i did not get how they got 1/5 as an answer.
Satyam said:
2 decades ago
Thank you kiran.
Sunny said:
2 decades ago
Good victor.
Divya said:
2 decades ago
Thanks victor. Your way of explanation is short and simple.
Preethi said:
2 decades ago
Excellant victor.
Hari said:
2 decades ago
As kiran said about getting the percentage. How its possible, can you explain it clealy of getting 60%, 40 %.
Supreeth said:
2 decades ago
Victor your way of doing this problem is less time consumable. Thank you.
Surya said:
2 decades ago
Can you solve this problem with allegation formula ?
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