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Previous Year Question (PYQs)



Two liquids A and B are in the ratio 5:1 in container 1 and in the ratio 1:3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1:1?





Solution

Let each part be x.
Vol of A= 5x ;
Vol of B= x ; Total Vol= 6x.

Container 2:
Let each part be y.
Vol of A= y ; 
Vol of B= 3y; 
Total Vol= 4y.

After Mixing:
Vol of A= 5x + y
Vol of B= x + 3y
As Ratio of A:B is 1:1, hence
5x+y = x+3y
2x = y
So,
Ratio of Total Vol 1 : Total Vol 2 =
6x / 4y 
= 6x / 4(2x) 
= 6/8 = 3/4.


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