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Two liquids A and B are in the ratio $5: 1$ in container $1$ and in container $2$, they are in the ratio $1: 3$. 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 $1 : 1$?

  1. $2:3$ 
  2. $4:3$ 
  3. $3:2$ 
  4. $3:4$
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Let 'a' ltr be taken from first container and 'b' ltr be taken from second.

$\frac{5}{6}\ast a+\frac{1}{4}\ast b = \frac{1}{6}\ast a+\frac{3}{4}\ast b$

$\frac{4}{6}\ast a=\frac{2}{4}\ast b$

$\frac{a}{b}=\frac{3}{4}$
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