1. **Problem statement:** Rita and Henry share profits in the ratio 3:5. Henry's profit is 24500. Find Rita's profit. 2. **Formula and rules:** If two quantities share a total in ratio $a:b$, then the parts are $\frac{a}{a+b}$ and $\frac{b}{a+b}$ of the total respectively. 3. **Calculate total profit:** Henry's share corresponds to ratio part 5, so total profit $= \frac{24500}{5} \times (3+5) = 4900 \times 8 = 39200$. 4. **Calculate Rita's share:** Rita's share $= \frac{3}{8} \times 39200 = 14700$. **Final answer:** Rita's share of the profit is $14700$.