Description for Correct answer:
According to the question,

\( \Large \frac{1}{A} \)+\( \Large \frac{1}{B} \)+\( \Large \frac{1}{C} \) = \( \Large \frac{1}{3} \)

= \( \Large \frac{1}{8} \)+\( \Large \frac{1}{6} \)+\( \Large \frac{1}{C} \) = \( \Large \frac{1}{3} \)

= \( \Large \frac{1}{C}=\frac{1}{3}- \left(\frac{1}{8}+\frac{1}{6}\right)=\frac{1}{24} \)

Therefore, Ratio in shares of A, B and C = \( \Large \frac{1}{8} \) : \( \Large \frac{1}{6} \) : \( \Large \frac{1}{24} \)

= \( \Large \frac{3}{24} \) : \( \Large \frac{4}{24} \) : \( \Large \frac{1}{24} \) = 3 : 4 : 1

Therefore, C's share = \( \Large \frac{1}{3+4+1} \times 1200 \) = Rs.150