The ratio of income of two persons A and B is 8 : 5 and ratio of their expenditure is 5 : 3. If the…

Let the incomes of A and B be $8x$ and $5x$, and their expenditures be $5y$ and $3y$. Then $8x - 5y = 2400$ and $5x - 3y = 2000$. Eliminating $y$: $5(5x - 3y) - 3(8x - 5y) = 10000 - 7200 \implies x = 2800$. Therefore, the income of A is $8x = 8 \times 2800 = \text{Rs. }22,400$.