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 17 of 20.

Rushit said:   9 years ago
Thank you for teaching the new method friends!

Ramakhanna said:   1 decade ago
Thanks ameer for your detailed explanation...

Murali D said:   8 years ago
Very good explanation, Thanks @Surendrareddy.

Jomson joy said:   9 years ago
Thanks, vicllusion. It is the simple method.

Iptisam said:   8 years ago
1/2(y-x)/y.
=1/2(5-3)/5,
= 1/2 * 2/5,
= 1/5.

DEVINDER SINGH said:   2 years ago
Why multiply with 1/8? Please explain to me.
(63)

Madhu said:   1 decade ago
Excellent Kiran! Your answer is very nice.

Megha said:   1 decade ago
Thanks it is really a good way to solve it.

Vikas said:   8 years ago
How did you get that equation 5x+24=40-5x?

Preeti rani dass said:   1 decade ago
Can you explain with the other method?


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