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Given, P = 4000, Time n = 2 years, A = 4410.
We know that A = P(1 + r/100)^n
⇒ 4410 = 4000(1 + r/100)^2
⇒ 4410/4000 = (1 + r/100)^2
⇒ 441/400 = (100 + r/100)^2
⇒ (21/20)^2 = (100 + r/100)^2
Now,
⇒ 21/20 = 100 + r/100
⇒ 100(21) = 20(100 + r)
⇒ 2100 = 2000 + 20r
⇒ 100 = 20r
⇒ r = 5%.
Therefore, the rate of interest = 5%.
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