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Rama borrowed ₹ 18000 from her friend at 8% per annum for 3 years. find the amount paid by Rama after 3 years, if interest is compounded annually |
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Answer» Answer: Money borrowed (P) = Rs 18000 Rate (R) = 8% p.a. Time (n) = 2 years Simple Interest = PRT / 100 = Rs (18000 × 8 × 2) / 100 = Rs 2880 In case of compound interest A = P {1 + (R / 100)}n = Rs 18000 {1 + (8 / 100)}2 = Rs 18000 × (27 / 25)2 = Rs 18000 × (27 / 25) × (27 / 25) We get, = Rs 104976 / 5 = Rs 20995.20 Hence, Compound interest = Amount – Principal = Rs 20995.20 – Rs 18000 = Rs 2995.20 Now, Difference between compound interest and simple interest = Rs 2995.20 – Rs 2880 = Rs 115.20 |
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