Compound interest, compounded annually on a certain sum of money is 0.21 after a period of 2 years. What is the rate of interest per annum?
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Dear Student,
● Answer -
Rate of interest = 10 % per annum.
◆ Explaination -
Compound interest is calculated by -
CI = P [(1+r)^t - 1]
Substitute given values,
0.21 = 1 [(1+r)² - 1]
0.21 = (1+r)² - 1
(1+r)² = 1 + 0.21
(1+r)² = 1.21
1 + r = 1.1
r = 1.1 - 1
r = 0.1
r = 10 %
Therefore, rate of interest is 10 % per annum.
Thanks dear. Hope this helps you...
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