The incomes of A and B are in the ratio of 3 :2 and their expenses are in the ratio of 5:3. If each of…

Let the incomes be $3x$ and $2x$ and the expenses $5y$ and $3y$. Equal savings give $3x-5y=3000$ and $2x-3y=3000$; subtracting gives $x=2y$, and then $4y-3y=3000$, so $y=3000$ and $x=6000$. A's income is $3\times6000=18000$ rupees. Check: A spends 15000 and B (income 12000) spends 9000, in the ratio 5 : 3, and each saves 3000.