Multiple choice

Anil borrows Rs. 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs. 10,320 at the end of the first year and closes the loan by paying the outstanding amount at the end of the third year. Then, the total interest, in rupees, paid over the three years is nearest to

  1. 45,311

  2. 51,311

  3. 33,130

  4. 40,991

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

The loan is 2,00,000 at 8% compounded half-yearly (4% per 6 months). After 1 year (2 periods), amount = 2,00,000 * (1.04)^2 = 2,16,320. After paying 10,320, balance = 2,06,000. This balance compounds for 2 more years (4 periods) at 4% half-yearly: 2,06,000 * (1.04)^4 = 2,40,811. Total paid = 10,320 + 2,40,811 = 2,51,131. Interest = 2,51,131 - 2,00,000 = 51,131.