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The ratio of income of A and B is 3:5. The sum of their expenditures is Rs. 18,000, and the savings of A is equal to the expenditure of B. What is the expenditure of A?
  1. Rs. 10,500
  2. Rs. 7,500
  3. Rs. 12,000
  4. Rs. 9,000
Explanation

  1. Let the incomes of A and B be 3x and 5x, respectively.

  2. Let expenditures of A and B be and
    E_B    .

    • Given:E_A + E_B = 18,000

    • Savings of A = Expenditure of B → 3x - E_A = E_B

  3. Substitute
    E_B = 18,000 - E_A     into savings equation:

  1. Income of A =, Income of B =

  2. Expenditure of A = 18,000 – Expenditure of B = 18,000 – 7,500 = 10,500

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