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?

Explanation

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

2. Let expenditures of A and B be EA​ 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:

3x−EA​=18,000−EA​⟹3x=18,000⟹x=6,000

4. Income of A =$3x=18,000$, Income of B =$5x=30,000$

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

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