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A mixture $\mathrm{P}$ is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture $\mathrm{P}$ and replaced with same amount of cocoa powder to form a new mixture $\text{Q}$. If the ratio of coffee and cocoa in the mixture $\text{Q}$ is $16: 9$, then the ratio of cocoa in mixture $\text{P}$ to that in mixture $\text{Q}$ is

  1. $5: 9$
  2. $1: 2$
  3. $4: 9$
  4. $1: 3$

     

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