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A sum od Rs4,000 is lent at 10% p.a., interest compounded annually. What is the difference between the compound interest for
the 2nd year and the 3rd ?
Rs45.00
Rs46.50
Rs45.40
Rs44.00
To determine the difference between the compound interest in the 2nd and 3rd years, we'll calculate the compound interest for each year.
- Initial Amount: Rs 4,000
- Interest Rate: 10% annually
1. Calculate Amount at End of 1st Year:
- A1 = P(1 + r)^1 = 4000(1 + 0.10) = Rs 4,400
2. Calculate Amount at End of 2nd Year:
- A2 = P(1 + r)^2 = 4000(1 + 0.10)^2 = Rs 4,840
- Interest for 2nd Year: A2 - A1 = 4,840 - 4,400 = Rs 440
3. Calculate Amount at End of 3rd Year:
- A3 = P(1 + r)^3 = 4000(1 + 0.10)^3 = Rs 5,324
- Interest for 3rd Year: A3 - A2 = 5,324 - 4,840 = Rs 484
4. Difference between 3rd Year and 2nd Year Interest:
- Difference = 484 - 440 = Rs 44
- Correct Option:
- Option 4: Rs 44.00
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