Question

In a partnership, A invests $\frac{1}{6}$ of the capital for $\frac{1}{6}$ of the time, B invest $\frac{1}{3}$ of the capital for $\frac{1}{3}$ of the time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 4600, B's share is

• A. $Rs.650$
• B. $Rs.800$
• C. $Rs.960$
• D. $Rs.1000$

Answer 1

The correct option is B $Rs.800$

Let $A$ invests $\frac{x}{6}for\frac{y}{6}Month$

$B$ invests $\frac{x}{3}for\frac{y}{3}Month$

$C$ invests $[x-(\frac{x}{6}+\frac{x}{3})]$ for y months

Ratio of their investments

$=(\frac{x}{6}\times \frac{y}{6}):(\frac{x}{3}\times \frac{y}{3}):(\frac{x}{2}\times y)$

$=\frac{1}{36}:\frac{1}{9}:\frac{1}{2}=1:4:18$

$\therefore B^{\prime }sShare=Rs(4600\times \frac{4}{23})=Rs800$