Aptitude - Alligation or Mixture - Discussion

Here is simple approach

3/5-1/2=1:1

Simple solution for this;

Given: Vessel contains...water -- 3 parts. Syrup -- 5 parts.

Required: Both should be half-- half

Sol: take one part of syrup and add it to water i.e then both will have 4 parts.

So divide syrup into 5 parts.then one part is 1/5, that is the solution.

Uttam, surender and ameer has cleared out my confusion regarding this problem. Thanks a lot.

Thanks ameer for your detailed explanation...

Thank you Surender and Utham...i hav tried to explain the answer in detail

Let the volume of vessel be x
quantity of water = 3/8 x
quantity of syrup = 5/8 x

Let the amount of mixture removed be y
The removed mixture contains 3/8 y of water and 5/8 y of syrup

So quantity of water left in the mixture=3/8[x-y]
quantity of syrup left in the mixture 5/8 [x-y]

According to the question,the amount of mixture removed is replaced later by water,so that the syrup an water would be exactly half each of the mixture...

so when more water is added to the existing water in the mixture..

3/8[x-y] + y = 5/8[x-y]
3x/8 - 3y/8 +y = 5x/8 - 5y/8
y = 2x/8 - 2y/8
8y=2[x-y]
4y=x-y
x=5y
y=1/5 x

Uttam and surender. Your answer is perfect. Kiran is wrong.

Thanks it is really a good way to solve it.

Let X=volume of vessel

Y=volume of mix taken out.

Initially,

volume of water in vessel=3X/8
volume of syrup in vessel=5X/8
Y=volume of mix taken out=volume of water added.

Now,
drawn off mix may contain,
volume of water=3Y/8.
volume of syrup=5Y/8.

after mix drawn off,
volume of water in the vessel=(3X/8)-(3Y/8)=(3/8)(X-Y).
volume of syrup in the vessel=(5X/8)-(5Y/8)=(5/8)(X-Y).

After water added, volume of water in the vessel
=[(3X/8)-(3Y/8)]+Y
=[(3/8)(X-Y)]+Y.


hence from the Question,in the vessel, volume of water

=volume of syrup

[(3/8)(X-Y)]+Y=(5/8)(X-Y)

10Y=2X

Y=(1/5)*X

So volume of water should be added is (1/5)th of volume of vessel.

@Mahi and Kiran

Since it is 3 parts and 5 parts...totally 8.

50% of 8 is 4 and 40% of 8 is 3.

So 60% of 8 is 5 parts.

Hope you understand.

Yes mahi, something wrong with Kiran's answer.

3/8= 37.5%
5/8= 62.5%
And its not 40% and 60% as told by kiran