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:
198 comments Page 18 of 20.

Ullas said:   8 years ago
Can anyone do it by allegation method?

Revathi said:   7 years ago
@Surrendar.

Nice explanation, thanks.

Gokul Ramakrishnan said:   4 years ago
Well said, nice answer. Thanks @Kiran.

Kavya.GV said:   7 years ago
Excellent explanation @Surendrareddy.

Chacha chodhary said:   1 decade ago
Here is simple approach

3/5-1/2=1:1

Prakash said:   4 years ago
Well said, Thank you so much @Ameer.

Raj said:   9 years ago
Actually the correct answer is 8/5.

Sandhya said:   2 decades ago
Can you give a shortcut for this?

Nisha said:   1 decade ago
I think amir done good solution.

Subhankar said:   1 decade ago
(bigger - smaller)/(2xbigger).


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