
Shortcut Trick
Income ratio (A : B) = 4 : 3
Expenditure ratio (A : B) = 3 : 2
Since the difference between income and expenditure parts is the same for both (4 − 3 = 1 and 3 − 2 = 1), this 1 unit represents the savings.
Given: 1 unit = ₹600
Monthly income of B = 3 units = 3 × 600 = ₹1800
∴ The correct answer is ₹1800.

Alternate Method
Given: Income Ratio A : B = 4 : 3, Expenditure Ratio A : B = 3 : 2, Savings = ₹600 each.
Formula Used: Income − Savings = Expenditure
Income A (4 units)
Income B (3 units)
1 Unit = ₹600
Difference (Income − Exp) for A: 4 − 3 = 1 Unit
Difference (Income − Exp) for B: 3 − 2 = 1 Unit
B's Income = 3 Units → 3 × 600 = ₹1800
⇒ Let the monthly incomes of A and B be 4x and 3x respectively.
⇒ According to the question: Expenditure = Income − Savings
⇒ Expenditure of A = 4x − 600
⇒ Expenditure of B = 3x − 600
⇒ Ratio of their expenditures = (4x − 600) ÷ (3x − 600) = 3 ÷ 2
⇒ 2 × (4x − 600) = 3 × (3x − 600)
⇒ 8x − 1200 = 9x − 1800
⇒ 9x − 8x = 1800 − 1200
⇒ x = 600
⇒ Monthly income of B = 3x = 3 × 600 = ₹1800
∴ The correct answer is ₹1800.

Additional Information
Income and Expenditure Relation
Income = Expenditure + Savings. If two individuals have the same savings, the difference between their income and expenditure parts in a ratio must be equalized.
Cross-Multiplication Method
For unequal savings S1 and S2: (I1 × E2 − I2 × E1) units = (S1 × E2 − S2 × E1), where I and E are ratio coefficients.
Ratio Equalization
If the difference in parts is not equal, multiply the first ratio by the difference of the second ratio and vice versa to make the gap consistent.