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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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 19 of 20.

Priyanka said:   8 years ago
Thanks @Kiran & @Jitender.

Flora said:   7 years ago
3/8+5/8x=1/2,
5/8x=1/8,
x=1/5.

Amuthan said:   1 decade ago
Great work Surendara Reddy.

Yogita said:   1 decade ago
How we find the % of thing?

Disha said:   9 years ago
How came 5x + 24 = 40 - 5x?

Saru Priya said:   4 years ago
@Kiran.

Nice explanation.
(2)

Ram said:   10 years ago
What if ratios are 2:1:2?

Santhosh ravvala said:   9 years ago
Nice explanation @Victor.

Usha said:   1 decade ago
How we get 5x+24=40-5x?

Suraj said:   8 years ago
Thanks @Surendrareddy.


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