Multiple choice

Annual income of A and B is in the ratio of $4 : 3$ and this annual expenses bear a ratio of $3 : 2$. If each of them saves $Rs. 600$ at the end of the year, the annual income of A is

  1. $Rs. 1200$
  2. $Rs. 2400$
  3. $Rs. 1800$
  4. $Rs. 4800$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 4x and 3x, expenses be 3y and 2y. 4x - 3y = 600 and 3x - 2y = 600. Solving the system: 8x - 6y = 1200 and 9x - 6y = 1800. Subtracting gives x = 600. A's income = 4x = 2400.

AI explanation

Since A and B save the same amount, the difference between their income ratio parts and expense ratio parts must be equal. Thus, 4x - 3x = 3x - 2x, meaning 1x = 1x, confirming the savings are 600 per part (1x = 600). A's annual income is 4x, which equals 4 * 600 = Rs. 2400. The annual income of A is Rs. 2400.

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