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?
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1
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1
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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 16 of 20.

Mahfujul Hoque said:   7 years ago
Good explanation, it is very helpful, Thanks @Victor.

Tinku said:   5 years ago
Can anyone tell me, how to find a total mixture here?
(1)

Surya said:   1 decade ago
Can you solve this problem with allegation formula ?

Venugopal said:   1 decade ago
@Victor.

Why did you divide syrup into 5 parts?

Vishal said:   9 years ago
For 8 litre ---> full 1 part.
So, 8/5 litre --->?

Atr said:   2 years ago
I didn't get this clearly. Please anyone help me.
(9)

Kamini Jain said:   1 decade ago
I did not get it why 8/5 is multiplied with 1/8.

Ankita said:   1 decade ago
Can anybody gives the easiest way of solving it?

Mansi said:   6 years ago
Very helpful, thanks for helping @Surendrareddy.

Prakash said:   9 years ago
Please, anyone solve it in alligation formula.


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