Multiple choice

Rs. 25230 is divided between A and B of age 27 years and 25 years. They invested their money at 5% per annum compound interest in such a way that both will receive equal money at the age of 40 years. Find the share of A?

  1. 12000 Rs.

  2. 11230 Rs.

  3. 12230 Rs.

  4. 13230 Rs.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's share be x, then B's share is (25230-x). A invests for 13 years (40-27), B for 15 years (40-25). With 5% CI, future values must equal: x(1.05)^13 = (25230-x)(1.05)^15. Simplifying: x = (25230-x)(1.05)^2 = (25230-x)(1.1025). Solving: x = 13230. A receives Rs. 13230.