This is the most commonly set calculation in the subject, and the one most often answered with the wrong rule.
The case. The adult dose of a drug is 500 mg. The patient is a child of 6 years, 20 kg, 115 cm tall.
Method 1 — Young's rule (age based)
child dose = adult dose × age ÷ (age + 12)
= 500 × 6 ÷ 18 = 166.67 mg, so about 167 mg
Method 2 — Clark's rule (weight based)
child dose = adult dose × weight in kg ÷ 70
= 500 × 20 ÷ 70 = 142.86 mg, so about 143 mg
Method 3 — body surface area
First the surface area, by the Mosteller formula:
BSA = √(height in cm × weight in kg ÷ 3600) = √(115 × 20 ÷ 3600) = √0.6389 = 0.80 m²
Then the dose, against an adult surface area of 1.73 m²:
child dose = 500 × 0.80 ÷ 1.73 = 231.01 mg, so about 231 mg
Now look at what just happened. The three methods gave 167 mg, 143 mg and 231 mg for the same child. The highest is 61.5% above the lowest. These are not small differences, and the examiner knows it.
That is exactly why the question is set. The surface area method is preferred for most drugs because surface area tracks metabolic rate and organ function far better than age or weight alone. Age-based rules in particular assume an average-sized child, so they fail badly on a child who is small or large for their age. Say that in the answer and the marks follow; produce one number from one rule with no comment and they do not.