Q. A sum of $₹ 24,000$ is divided into two parts $P_1$ and $P_2$, such that the simple interest calculated on $P_1$ for 3 years and on $P_2$ for 4 years are equal. If the rates of interest on $P_1$ and $P_2$ are $4 \%$ and $5 \%$, respectively, then find the smaller of the parts $P_1$ and $P_2$.
Simple Interest and Compound Interest
Solution: