Partnership Practice Test 4

Let their capitals be Rs $\frac{\mathit{x}}{5},\frac{\mathit{x}}{6}$ and $\frac{\mathit{x}}{8}$ respectively.
Then, A’s investment for one year $\left(\frac{\mathit{x}}{5}\times 3+\frac{\mathit{x}}{5}\times \frac{1}{2}\times 9\right)$
$=\frac{3}{5}\mathit{x}+\frac{9}{10}\mathit{x}=\frac{15}{10}\mathit{x}=\frac{3}{2}\mathit{x}$
B’s investment for one year = $\frac{\mathit{x}}{6}\times 12$ = Rs 2x
C’s investment for one year = $\frac{\mathit{x}}{8}\times 12$ = Rs $\frac{3}{2}\mathit{x}$
So, the ratio of their investments $=\frac{3}{2}\mathit{x}:2\mathit{x}:\frac{3}{2}\mathit{x}=3:4:3$
∴ A’s share $=\frac{3}{10}\times 6,570=\mathrm{Rs}.1971$