Multiple choice

Naimish borrows Rs. 40000 from Axix Bank at rate of 7.50% per annum at compund interest. At end of every year he pays Rs. 15000 which consist of interest and a part of a loan repayment. How much more he has to pay at the end of third year to finish his loan.

  1. Rs. 16232.5

  2. Rs. 1232.5

  3. Rs. 1000

  4. Rs. 100

  5. None of these

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

Year 1: Principal = Rs. 40,000. Interest at 7.5% = Rs. 3,000. After paying Rs. 15,000, remaining principal = 28,000. Year 2: Interest on Rs. 28,000 at 7.5% = Rs. 2,100. After paying Rs. 15,000, remaining principal = 15,100. Year 3: Interest on Rs. 15,100 at 7.5% = Rs. 1,132.50. Total due = 15,100 + 1,132.50 = Rs. 16,232.50. If he pays the usual Rs. 15,000, the remaining amount to clear the loan = 16,232.50 - 15,000 = Rs. 1,232.50. Key insight: Compound interest is calculated on the outstanding balance each year, and payments first cover interest then reduce principal.