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?
Bank Past Papers and Syllabus / All — Multiple-choice practice
- A. Rs. 12,000
- B. Rs. 10,500
- C. Rs. 7,500
- D. Rs. 9,000
Correct answer
Rs. 10,500
Explanation
Explanation Let the incomes of A and B be 3x and 5x, respectively 5 x . Let expenditures of A and B be E A and E_B E B . Given: E_A + E_B = 18,000 E A + E B = 18 , 000 Savings of A = Expenditure of B → 3x - E_A = E_B 3 x − E A = E B Substitute E_B = 18,000 - E_A E B = 18 , 000 − E A into savings equation: 3 x − E A = 18 , 000 − E A ⟹ 3 x = 18 , 000 ⟹ x = 6 , 000 Income of A = 3 x = 18 , 000 , Income of B = 5 x = 30 , 000 Expenditure of A = 18,000 – Expenditure of B = 18,000 – 7,500 = 10,500
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