Multiple choice

A can contains liquids $L_{1}$ and $L_{2}$ in the ratio $11 : 13$. Draw $24\ L$ of mixture from this Can and refill it by liquid $L_{2}$. If the can has now $L_{1}$ and $L_{2}$ in the ratio $2 : 3$, how much quantity of $L_{1}$ was in the can initially?

  1. $14 \dfrac{2}{7} L$
  2. $86 \dfrac{3}{7} L$
  3. $187\dfrac{1}{7} L$
  4. $55\dfrac{5}{7} L$
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