Question
The ratio of incomes of A and B is 5:3, and their
expenditures are in the ratio 9:5. If A saves ₹800 and B saves ₹600, find B's income.Solution
ATQ,
Let incomes be 5x, 3x and expenditures be 9y, 5y. Then, 5x - 9y = 800 3x - 5y = 600 Multiply 2nd by 3: 9x - 15y = 1800 Subtract: (9x - 15y) - (10x - 18y) = 1000 → x = 600, y = 300 Income of A = 5×600 = ₹3000; B = 3×600 = ₹1800
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