Multiple choice

The ratio of the bank balances of three brothers A, B and C is 10 : 12 : 5, respectively. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?

  1. 1,00,000

  2. 2,00,000

  3. 3,00,000

  4. 4,00,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial balances: A=10k, B=12k, C=5k. After B transfers 60k to C, new balances are A=10k, B=12k-60k, C=5k+60k. The new ratio 10:9:8 implies (12k-60k)/(5k+60k) = 9/8. Solving for k: 8(12k-60k) = 9(5k+60k) => 96k - 480k = 45k + 540k. This leads to k = 20,000. A's balance = 10 * 20,000 = 200,000.

AI explanation

The initial ratio of amounts is 10 : 12 : 5, and the final ratio is 10 : 9 : 8. B's amount decreases from 12 to 9, which is a drop of 3 units, and this equals the transferred amount of Rs. 60,000. Therefore, one unit equals 60000 divided by 3, which is Rs. 20,000. A's bank balance remains at 10 units throughout the transaction, so A's balance is 10 multiplied by 20000, giving Rs. 2,00,000.

Keep practicing — related questions