The monthly incomes of Peter and Paul are in the ratio of 4:3. Their expenses are in the ratio of 3:2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)

Let Peter's income be P_I and Paul's income be L_I. Let Peter's expense be P_E and Paul's expense be L_E. Given: P_I : L_I = 4 : 3 Given: P_E : L_E = 3 : 2 Given: P_I - P_E = 6000 (Savings) Given: L_I - L_E = 6000 (Savings)

We can test the options directly.

Consider Option A: Incomes are 24,000 and 18,000.

1. Check income ratio: 24,000 : 18,000 = 24 : 18 = 4 : 3. This matches the given income ratio.
2. Calculate expenses: Peter's expense = Peter's income - Savings = 24,000 - 6,000 = 18,000 Paul's expense = Paul's income - Savings = 18,000 - 6,000 = 12,000
3. Check expense ratio: 18,000 : 12,000 = 18 : 12 = 3 : 2. This matches the given expense ratio.

Since Option A satisfies all the conditions (income ratio, expense ratio, and savings), it is the correct answer.

Brief analysis of other options: B) 28,000 and 21,000: Income ratio is 28:21 = 4:3. Expenses: Peter = 28000-6000 = 22000, Paul = 21000-6000 = 15000. Expense ratio = 22000:15000 = 22:15. This is not 3:2.

C) 32,000 and 24,000: Income ratio is 32:24 = 4:3. Expenses: Peter = 32000-6000 = 26000, Paul = 24000-6000 = 18000. Expense ratio = 26000:18000 = 26:18 = 13:9. This is not 3:2.

D) 34,000 and 26,000: Income ratio is 34:26 = 17:13. This is not 4:3.

The final answer is A