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The amount on a sum of ₹4,400 at 5% per annum compound interest, compounded annually, in 2 years will be:
Question

The amount on a sum of ₹4,400 at 5% per annum compound interest, compounded annually, in 2 years will be:

A.

₹4,819

B.

₹4,851

C.

₹5,840

D.

₹4,071

Correct option is B

Given:
Principal = 4400
Rate = 5% per annum
Time = 2 years
Formula Used:
Amount = P(1+R100)TP(1 + \frac{R}{100})^T​​
Solution:
Substitute the given values into the formula:
Amount = 4400(1+5100)2 4400(1 + \frac{5}{100})^2​​

Amount = 4400(1+120)2 4400(1 + \frac{1}{20})^2​​

Amount  =4400(2120)2= 4400(\frac{21}{20})^2​​

Amount = 4400×441400 4400 × \frac{441}{400}​​

Amount = 11 × 441

Amount = 4851
Final Answer
So the correct answer is (b)

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