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?
1
3
1
4
1
5
1
7
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 21 of 21.

Gokul Ramakrishnan said:   5 years ago
Well said, nice answer. Thanks @Kiran.

Prakash said:   5 years ago
Well said, Thank you so much @Ameer.

Shanmukh said:   5 days ago
In the question, they state that the water and the syrup should be in equal quantities. They have already given three parts of water and five parts of syrup. The total is 8 parts.

So, to make them equal, I have to replace one part of syrup with water so that both are balanced. So, out of the given five parts, we have to replace only one part; therefore, the answer is 1/5.


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