📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    The incomes of A and B are in the ratio 4 : 5 and their

    expenditures are in the ratio 3 : 4. If each saves Rs 4,000, find the income of B.
    A Rs 10,000 Correct Answer Incorrect Answer
    B Rs 20,000 Correct Answer Incorrect Answer
    C Rs 33,000 Correct Answer Incorrect Answer
    D Rs 28,000 Correct Answer Incorrect Answer

    Solution

    Let incomes: A = 4x, B = 5x Let expenditures: A = 3y, B = 4y Savings = Income − Expenditure For A: 4x − 3y = 4,000 …(1) For B: 5x − 4y = 4,000 …(2) Subtract (1) from (2): (5x − 4y) − (4x − 3y) = 0 5x − 4y − 4x + 3y = 0 x − y = 0 ⇒ x = y Substitute x = y in (1): 4x − 3x = 4,000 x = 4,000 So B’s income = 5x = 5 × 4,000 = Rs 20,000 Answer: Rs 20,000.

    Practice Next
    More Ratio and proportion Questions

    Relevant for Exams:

    ask-question