If the simple interest on a certain sum for 15 months at 7 1/2% per annum exceeds the simple interest on the… · ABC26GN4066

Let the sum be ₹ $x$. Then, $\left(x \times \frac{15}{2} \times \frac{5}{4} \times \frac{1}{100}\right)-\left(x \times \frac{25}{2} \times \frac{2}{3} \times \frac{1}{100}\right)=32.50$ $$\begin{aligned} & \Leftrightarrow \quad \frac{75 x}{8}-\frac{25 x}{3}=3250 \Leftrightarrow 25 x=(3250 \times 24) \\ & \Leftrightarrow \quad x=\left(\frac{3250 \times 24}{25}\right)=3120 . \end{aligned}$$