Explanation:

Sure, let's go through the problem:

- A saves 60% of his income, meaning he spends 40% of his income.

- Let income of A be 100x. So, A's expenditure is \(40x\) and savings is \(60x\).

- Let income of B be 100y. So, we need to find what B saves and spends.

Savings Ratio:

- Savings of A and B is in the ratio \(5:3\).

- A's savings \(= 60x\), so B's savings \(= \frac{3}{5} \times 60x = 36x\).

Expenditure Ratio:

- Expenditure of A and B is in the ratio \(1:2\).

- A's expenditure \(= 40x\), so B's expenditure \(= 2 \times 40x = 80x\).

Equations:

- B's total income includes savings and expenditures: \(80x + 36x = 116x\).

Final Ratio:

- Ratio of incomes of A and B: \(100x : 116x\).

- This simplifies to: \(25 : 29\).

Correct Option:

- \( \color{green}{\text{Option 4: 25 : 29 }} \)