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 9 of 20.
Viji said:
3 years ago
We need 2 parts of water to be added to make water and syrup equal then.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items=2 (Water, Syrup).
= 2/10.
= 1/5.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items=2 (Water, Syrup).
= 2/10.
= 1/5.
(233)
Vijay said:
10 years ago
Let 3x+5x = 24.....(1).
8x = 24.
x = 3 substitute in (1).
Then water is 9 and syrup is 15.
To make both equal subtract 3 from syrup and add it to water.
So, 3/15 = 1/5.
8x = 24.
x = 3 substitute in (1).
Then water is 9 and syrup is 15.
To make both equal subtract 3 from syrup and add it to water.
So, 3/15 = 1/5.
Rajesh said:
1 decade ago
Simple friends,
Here totally 8 parts (5 part syrup + 3 part water).
To make it equal (4 parts syrup + 4 part water).
So, we have to draw 1 part from syrup (i.e.,) 1/5.
Here totally 8 parts (5 part syrup + 3 part water).
To make it equal (4 parts syrup + 4 part water).
So, we have to draw 1 part from syrup (i.e.,) 1/5.
Bhushan said:
9 months ago
We need 2 parts of water to be added to make water and syrup equal.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items = 2 (Water, Syrup).
= 2/10.
= 1/5.
5 parts of water = 5 parts of syrup.
Total = 10 parts.
No of items = 2 (Water, Syrup).
= 2/10.
= 1/5.
(50)
Sundar said:
9 years ago
You guys all great. Knowing how to solve a problem in an easy way is great and explaining to others is a bigger than that. Great helping kind. Once again Thank you all.
Naveen said:
8 years ago
1/2* (bib value-small value) /big value.
Here, big value=5.
Small value = 3.
After putting value in above formula, we get,
1/2* (5-3) /5.
1/2* 2/5.
1/5 = 1:5.
Here, big value=5.
Small value = 3.
After putting value in above formula, we get,
1/2* (5-3) /5.
1/2* 2/5.
1/5 = 1:5.
Mahi said:
1 decade ago
How we will get 60% of syrup from 5 parts of syrup and 40% of water from 3 parts of water which is explained in Kiran's answer?.
Please explain in detail. Please.
Please explain in detail. Please.
Kritibas said:
9 years ago
W:S = 3:5 after adding water it become 1:1 here there is no change in syrup so multiply 5 * (1:1) = 5/5 so only water is change 2 part now 2/(5 + 5) = 2/10 = 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.
Mukku said:
8 years ago
3 5
\ /
8
/ \
3 5
ratio 3:5.
we need to calculate for water only,
3/5*1/3 = 1/5,
1/3 because one portion of water is 1/3.
\ /
8
/ \
3 5
ratio 3:5.
we need to calculate for water only,
3/5*1/3 = 1/5,
1/3 because one portion of water is 1/3.
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