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On a certain sum of money, the simple interest for 2 years is Rs. 400 at the rate of 5% per annum. It was invested at compound interest at the same rate for the same duration as before, how much more interest would be earned?
25
40
10
15
21
To determine the additional interest earned through compound interest, let's break down the problem:
- Simple Interest (SI): Rs. 400 for 2 years at 5% per annum means the sum (Principal) is Rs. 400/0.10 = Rs. 4000.
- Compound Interest (CI) formula considering yearly compounding:
- CI = Principal \((1 + \frac{rate}{100})^n - Principal\)
- CI = Rs. 4000 \((1 + \frac{5}{100})^2 - Rs. 4000\)
- CI = Rs. 4000 \((1.05)^2 - Rs. 4000\)
- CI = Rs. 4000 \((1.1025) - Rs. 4000\)
- CI = Rs. 4410 - Rs. 4000 = Rs. 410
- Additional Interest: CI - SI = Rs. 410 - Rs. 400 = Rs. 10
- Correct Answer: Option 3, 10
- Therefore, the additional interest earned is Rs. 10.
By: Parvesh Mehta ProfileResourcesReport error
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