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