WBCS.LIVE practice question

The ratio of the annual incomes of A and B is 5 : 4 and the ratio of their annual expenditures is 3 : 2. If at the end of the year, each saves Rs. 1600, then the annual income of A is

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. Rs. 3400
  2. Rs. 3600
  3. Rs. 4000
  4. Rs. 4400

Correct answer and explanation

Correct answer: Rs. 4000

Explanation: āœ… Correct Answer: C. Rs. 4000 šŸ“š Explanation: Let incomes be 5x and 4x, and spending be 3y and 2y. We have (5x - 3y = 1600) and (4x - 2y = 1600). Subtracting these gives x - y = 0, so x = y. Substituting back into the first equation: 5x - 3x = 1600, so 2x = 1600 and x = 800. A's income (5x) is 5 multiplied by 800, which is Rs. 4000.