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The strength of a salt solution is $p$% if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions $A, B, C$ are mixed in the proportion $1:2:3$, then the resulting solution has strength $20$%. If instead the proportion is $3:2:1$, then the resulting solution has strength $30$%. A fourth solution, $D$, is produced by mixing $B$ and $C$ in the ratio $2:7$. The ratio of the strength of $D$ to that of $A$ is

  1. $2:5$
  2. $1:3$
  3. $1:4$
  4. $3:10$
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