$J$ and $K$ invest $\text{Rs. }20,000$ and $\text{Rs. }30,000$ respectively in a business. They agree to share profits in the ratio of their investments. If the business earns a profit of $\text{Rs. }15,000$ at the end of $8$ months, what is $K$ 's share of the profit?

The profit sharing ratio in a partnership business depends on the ratio of the investments made by the partners when the time period is same for both.
Ratio of investments of $J$ and $K$:

$$\text{Ratio}=20000:30000=2:3$$

Total profit earned at the end of $8$ months = $\text{Rs. }15,000$
Sum of the ratio terms = $2+3=5$

Now, calculate $K$ 's share of the profit:

$$K\text{’s share}=\frac{3}{5}\times 15000$$

$$K\text{’s share}=3\times 3000=\text{Rs. }9,000$$