Aptitude - Alligation or Mixture - Discussion

Here x=8/5 is the amount in liters that has been added to make up 8 liters in total. This added quantity constitutes some part of the total volume. Right? So, this some part is stated as (x/8). Hope everyone's doubt on this has been cleared. => (8/ (5*8) ) =1/5.

1/5th is the part (not liters) from the total 8liters that has been added. Thank You.

Good victor.

I did not get it why 8/5 is multiplied with 1/8.

Great surendra reddy.

The first one itself is short solution.
as we assume total soln as 8litre
so if x litre of water is added by replacing
So net water remains is 3-3x/8+x in 8 litre
and syrup is 5-5x/8
equalize both as both becomes equal in content aftr previous replacement.

we get x=8/5
but this is replecement if we assume cotent of vessel =8l
so part of replcement=replced amount/total amount
this means (8/5)/8 = 1/5 ans

I am getting 8/5 as the amount to be replaced. If there is 8litres of the total liquid then 3 litres is water and 5 litres is syrup. Now suppose if you remove x litres of the liquid the remaining liquid is 8-x.

In this 8-x, 3/8(8-x) is water and 5/8(8-x) is syrup.
Now if we add x litres of water to it the equation we get is
3/8(8-x)+x=5/8(8-x) since both the syrup and the liquid equals 4/8

Solving this equation we get x=8/5

Where did 1/5 come from? Please somebody explain. I am highly confused.

Thanks ameer.

I think amir done good solution.

40% of 8 parts is 3.2 and 60% is 4.8 how it's possible to get them as 3 and 5 as this is a big difference .

Why is that nthey got 1/5 only becoz syrup is considered?
w s
3 5
+1 -1
4 4

So 1/5 is correct, right? why not 1/3?