A man spent $\frac{3}{5}$ of his income and still has $₹1500$ left with him. What is his income ?

The correct option is A.

$₹3750$

Given that a man has spent $\frac{3}{5}$ of his income.

Hence, its savings $=1-\frac{3}{5}=\frac{5-3}{5}=\frac{2}{5}$

$\text{We have,}\frac{2}{5}\text{of his income}=₹1500$

$i.e.,\frac{2}{5}\times \text{Income}=₹1500$

$\therefore \text{Income}=₹1500÷\frac{2}{5}$

$=₹1500\times \frac{5}{2}$

$=₹\frac{1500\times 5}{2}$

$=₹3750$