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    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?
    A Rs. 9,000 Correct Answer Incorrect Answer
    B Rs. 10,000 Correct Answer Incorrect Answer
    C Rs. 11,000 Correct Answer Incorrect Answer
    D Rs. 12,000 Correct Answer Incorrect Answer

    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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