What is the difference between compound interest and simple interest on Rs. 5,000 for 2 years at 4 per cent per annum according as the interest is compounded yearly?A)2.04B)3.06C)4.80D)5.50
Question
What is the difference between compound interest and simple interest on Rs. 5,000 for 2 years at 4 per cent per annum according as the interest is compounded yearly?A)2.04B)3.06C)4.80D)5.50
Solution
To solve this problem, we first need to understand the formulas for simple interest and compound interest.
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Simple Interest (SI) is calculated as follows: SI = (Principal amount * Rate * Time) / 100 So, for a principal amount of Rs. 5000, a rate of 4% per annum, and a time of 2 years, the simple interest would be: SI = (5000 * 4 * 2) / 100 = Rs. 400
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Compound Interest (CI) is calculated as follows: CI = Principal amount * (1 + Rate/100) ^ Time - Principal amount So, for the same principal amount, rate, and time, the compound interest would be: CI = 5000 * (1 + 4/100) ^ 2 - 5000 = Rs. 408.00
The difference between the compound interest and the simple interest is therefore Rs. 408.00 - Rs. 400 = Rs. 8.00.
However, none of the options provided (A) 2.04, B) 3.06, C) 4.80, D) 5.50) match this result. It's possible there may be a mistake in the question or the provided options.
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