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Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 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:

CAT · 2023 · Quant Slot 2
Question:
Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 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:

Options

45311
51311
33130
40991
Answer: 51311

Explanation:
After 1 year at 8% p.a. compounded half-yearly (4% per half-year): Amount = 200000(1.04)² = 216320. After repayment = 206000. After 3 years total: 206000(1.04)⁴ ≈ 241311. Interest paid = 10320 + (241311−200000) = 51311.

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