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The interest, compounded anually, on a sum of Rs3,240 after two years is Rs370. What is the rate of interest, correct up to two
decimal places?
5.26%
4.67%
5.56%
4.05%
- You are given that the interest compounded annually after two years is Rs370.
- The principal amount is Rs3,240.
- The compound interest formula is:
A=P(1+r100)n
where A is the total amount, P is the principal amount, r is the rate of interest, and n is the time period.
- Given, A=P+Interest=3240+370=3610.
- We know:
3610=3240(1+r100)2
- Dividing both sides by 3240 gives:
1.1142≈(1+r100)2
- Solving, 1+r100≈1.056 so r≈5.6%.
- The calculated rate is approximately 5.56%.
- Correct Answer: Option:3- 5.56%
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