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
5
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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 13 of 20.

Mohi said:   1 decade ago
I cannot understand. Its so difficult for me. Please explain in another way.

Bindhureddy said:   1 decade ago
@surendrareddy. Your way of explanation is good. Moreover it is easy to do.

Supreeth said:   1 decade ago
Victor your way of doing this problem is less time consumable. Thank you.

Uma said:   1 decade ago
I am agree with Siri. Your way of explanation is also excellent. Thanks.

Vivek said:   8 years ago
Can we assume xth part of the mixture be removed and replaced by water?

Viswavikram said:   1 decade ago
Can we able to solve this problem in alligation method, if so explain?
(1)

Tanzid said:   6 years ago
3:5 becomes 4:4, So change in syrup is (5-4) in 5 units so = 1/5.

Som said:   3 years ago
It is not Volume of vessel.

It's a Volume of mixture at initial.
(1)

Sandeep said:   9 years ago
Anyone, please clear my doubt.

How (3 - 3x / 8 + x) = 5x + 24?

Mounika said:   7 years ago
Can anyone explain, how it is obtained?

(3(x-y)/8)+y=5 (x-y)/8.


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