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Find the compound interest on an amount of Rs.8,000 at 5% p.a. for 2 years, compounded annually.
Question

Find the compound interest on an amount of Rs.8,000 at 5% p.a. for 2 years, compounded annually.

A.

Rs.920

B.

Rs.820

C.

Rs.780

D.

Rs.630

Correct option is B

Given:
Amount = 8000
Rate = 5%
Time = 2 years
Formula Used:
A=P×(1+r100)tA = P × (1 + \frac{r }{ 100})^t​​

Solution:
=>A=P×(1+r100)t =>A=8000×(1+5100)2 =>A=8000×(1.05)2 =>A=8820=> A = P × (1 +\frac{ r }{ 100})^t \\\ \\=> A = 8000 × (1 + \frac{5 }{100})^2 \\\ \\=> A = 8000 × (1.05)^2 \\\ \\=> A = 8820​​
Compound Interest = Amount - Principal
=> CI = 8820 - 8000
=> CI = 820

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