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Raman took a loan of ₹15,000 from Laxman. It was agreed that for the first three years the rate of interest charged would be 8% simple interest per annum and from the fourth year onwards 10% compound interest, compounded annually. Raman did not pay anything until the end of the fifth year. How much would he repay if he clears the entire amount at the end of the fifth year?
- ₹22506
- ₹22105
- ₹22900
- ₹22500
Correct answer: ₹22506
Solution
For the first 3 years, simple interest on ₹15,000 at 8% is ₹3,600, so the amount becomes ₹18,600. This amount is then compounded at 10% for 2 years: ₹18,600 × 1.1 × 1.1 = ₹22,506.
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