Step 1: Understanding Dilling’s formula.
Dilling's formula is used to calculate the child's dose based on the adult dose, using the child’s age and the standard age ratio. The formula is:
\[
\text{Child's Dose} = \frac{\text{Age of child}}{(Age of child + 12)} \times \text{Adult Dose}
\]
In this case, the adult dose is 200mg and the child's age is 12 years.
Step 2: Applying the formula.
\[
\text{Child's Dose} = \frac{12}{(12 + 12)} \times 200 = \frac{12}{24} \times 200 = 0.5 \times 200 = 120 \text{ mg}
\]
Step 3: Conclusion.
The correct answer is (C) 120mg as per Dilling's formula.