Use the unit method. Let the cocktail be 24 units (LCM of 4 and 6).
• Grape juice: \( \frac{1}{4} \) of total = 6 units
• Remaining: 24 − 6 = 18 units
• Orange juice: \( \frac{5}{6} \) of remaining = \( \frac{5}{6} \times 18 \) = 15 units
• Pineapple juice: 18 − 15 = 3 units
• Fraction of pineapple juice: \( \frac{3}{24} = \frac{1}{8} \)
Final Answer: B: \( \frac{1}{8} \)