A cask contains a mixture of liquids P and Q in the ratio $5 : 3$. When $16$ liters of the mixture is drawn off and replaced with liquid Q, the ratio of P to Q becomes $3 : 5$. What was the initial total capacity of the cask?
Options:
- A: $40$ liters
- B: $32$ liters
- C: $48$ liters
- D: $36$ liters
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