Question
The ratio of monthly incomes of A and B is 7 : 10. The
ratio of their expenditures is 2 : 3. If each of A and B saves Rs. 1,000 per month, then what will be the monthly income of B?Solution
ATQ, Let A's and B's incomes be 7x and 10x. Let their expenditures be 2y and 3y. Both save ₹1,000, so: A: 7x−2y=1000 B: 10x−3y=1000 Solve these two equations: Multiply A's equation by 3 → 21x−6y=3000 Multiply B's equation by 2 → 20x−6y=2000 Subtract → x=1000 So, B's income = 10x=10×1000= ₹10,000
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