Question
The monthly incomes of A and B are in the ratio 3 : 4,
and their monthly expenditures are in the ratio 2 : 3. If each of them saves Rs. 4,000 per month, what is A’s monthly income?Solution
ATQ, Let incomes be 3a and 4a. Let expenditures be 2b and 3b. Savings: 3a − 2b = 4000 ...(1) 4a − 3b = 4000 ...(2) Multiply (1) by 3: 9a − 6b = 12000 Multiply (2) by 2: 8a − 6b = 8000 Subtract: (9a − 6b) − (8a − 6b) = 12000 − 8000 => a = 4000. A’s income = 3a = 3 × 4000 = Rs. 12,000.
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