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A sum becomes 33.1% more in three years when invested under compound interest, interest being compounded annually. Find the annual rate of interest.?
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A sum becomes 33.1% more in three years when invested under compound ...
Given Data:
- Sum becomes 33.1% more in three years under compound interest
- Interest is compounded annually

Let's Assume:
- Principal amount be P
- Annual rate of interest be R
- Time period be 3 years

Calculation:
- After 3 years, the sum becomes 33.1% more, which means the new sum is 133.1% of the principal amount (P)
- So, the new sum after 3 years = P + 0.331P = 1.331P
- Using the compound interest formula:
A = P(1 + R/100)^t
where A is the amount after t years, P is the principal amount, R is the annual rate of interest, and t is the time period
- Applying the formula for 3 years:
1.331P = P(1 + R/100)^3
1.331 = (1 + R/100)^3
(1 + R/100) = 1.331^(1/3)
(1 + R/100) = 1.1
R = 10

Therefore,
- The annual rate of interest is 10%.
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A sum becomes 33.1% more in three years when invested under compound interest, interest being compounded annually. Find the annual rate of interest.?
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