a chemist has one solution which is 40 acid and another which is 20 acid how much each Solutions sho...........

Quantitative Aptitude (CGL) Mixture and Alligation

a chemist has one solution which is 40% acid and another which is 20% acid how much each Solutions should the chemist mix to get 10 litre of a solution which is 25? acid

3.5

7.5

6.5

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Explanation:

Let the qty of 1st solution needed be x and that of 2nd be y.
For x ltr of solution, there will be 0.4x acid and rest 0.6x water
For y ltr of solution, there will be 0.2y acid and 0.8y rest water
x + y = 10....(1)
0.4x + 0.2y / 0.6x + 0.8y = 0.25/0.75 [ acid-water fraction]
4x + 2y / 6x + 8y = 1/3
2x + y / 3x + 4y = 1/3
3(2x + y) = 3x + 4y
6x + 3y = 3x + 4y
y = 3x...(2)
From (1) and (2) we get
3x + x = 10
4x = 10
x = 2.5 ltr
y = 7.5 ltr