Partnership Profit Share

Let total capital = $C = 1$, total time = $T = 1$.

• A's investment equivalent = $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$.
• B's investment equivalent = $\frac{1}{3} \times \frac{1}{3} = \frac{1}{9} = \frac{4}{36}$.
• C's capital = $1 - \left(\frac{1}{6} + \frac{1}{3}\right) = 1 - \frac{1}{2} = \frac{1}{2}$. C's investment equivalent = $\frac{1}{2} \times 1 = \frac{1}{2} = \frac{18}{36}$. Ratio of profit shares $A : B : C = 1 : 4 : 18$. Sum of terms = $1 + 4 + 18 = 23$. A's share = $\frac{1}{23} \times 2300 = \text{Rs. } 100$.