Question

Q. For a business partnership, A invests $\frac{1}{6}$of the capital for$\frac{1}{6}$ of the time, B invests$\frac{1}{3}$ of the capital for$\frac{1}{3}$ of the time and C, the rest of the capital for the whole time. If the total profit is Rs 21850, C’s share is

• A. 17100
• B. 17300
• C. 17550
• D. 18100

Answer 1

The correct option is A 17100

Let the total investment be x and total time be y
Let the amount invested by A be $\frac{x}{6}$ for$\frac{y}{6}$ months
And B invest for$\frac{x}{3}$ for$\frac{y}{3}$ months months.
$\text{Investment of C}=x-\frac{x}{6}-\frac{x}{3}=\frac{x}{2}$for y months
Ratio of capital
=$\frac{x}{6}\times \frac{y}{6}:\frac{x}{3}\times \frac{y}{3}:\frac{x}{2}\times y\frac{1}{36}:\frac{1}{9}:\frac{1}{2}=1:4:18$
$\text{C's profit share}=21850\times \frac{18}{23}=17100$