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In a binary system of $A$ and $B$, a liquid of $20\% A (80\%  \: B)$ is coexisting with a solid of $70\%  \: A (30 \% B)$. For an overall composition having $40\%  \: A$, the fraction of solid is

  1. $0.40$
  2. $0.50$
  3. $0.60$
  4. $0.75$
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