A person who spends 60% of his monthly income is able to save ₹4,614 per…

For a person's monthly finances, Income = Expenditure + Savings, so if a person spends p% of income, the remaining (100 − p)% of income is what gets saved. This percentage-of-income relationship lets us recover the full monthly income once the saved percentage and the actual savings amount are known, and then read off the expenditure from that income.

1. Let the person's monthly income be ₹I.

2. He spends 60% of his income on expenses, so the fraction of income he saves is 100% − 60% = 40%.

3. The monthly savings of 40% of income equal the given ₹4,614, so 40% × I = ₹4,614, i.e. (40/100) × I = 4,614.

4. Solving for the income: I = 4,614 × (100/40) = 4,614 × 2.5 = ₹11,535.

5. The monthly expenses are 60% of this income: 60% × 11,535 = (60/100) × 11,535 = ₹6,921.

Check: adding the expenses and the savings should return the income — ₹6,921 + ₹4,614 = ₹11,535, which matches the income found above, confirming the working.

So, the person's monthly expenses are ₹6,921.