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The difference between the compound interest, when compounded annually, and the simple interest on a certain sum of money
for 2 years at 4.2% is Rs8.82. What is the sum?
Rs4,500
Rs2,100
Rs5,000
Rs3,000
- In compound interest, interest is calculated on the initial principal and also on the accumulated interest of previous periods, while in simple interest, it's only on the principal.
- Given the difference between compound interest and simple interest for 2 years at 4.2% is Rs8.82.
- Formula for simple interest (SI) is: SI = P × R × T/100.
- Compound interest (CI) formula when compounded annually is: CI = P × (1 + R/100)² - P.
- Given options to check:
- Option 1: Rs4,500
- Option 2: Rs2,100
- Option 3: Rs5,000
- Option 4: Rs3,000
By calculating using these formulas, Option 3 (Rs5,000) is the amount where the difference matches Rs8.82.
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