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The amount on a sum of ₹2,800 at the rate of 5% per annum compound interest, compounded annually, in 2 years will be:
Question

The amount on a sum of ₹2,800 at the rate of 5% per annum compound interest, compounded annually, in 2 years will be:

A.

₹3,384

B.

₹3,087

C.

₹3,227

D.

₹3,089

Correct option is B

Given
Principal (P) = ₹2,800
Rate (R) = 5% per annum
Time (T) = 2 years

Formula Used
Amount = P × (1+R100)T(1 + \frac{R}{100})^T​​
Solution
Amount = 2800 × (1+5100)2 (1 + \frac{5}{100})^2​​

Amount = 2800 × (105100)2 (\frac{105}{100})^2

Amount = 2800 × 2120×2120\frac{21}{20} \times \frac{21}{20}

Amount = 2800 × 441400\frac{441}{400}

Amount = 7 × 441 = 3087
Final Answer
So the correct answer is (b)

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