Rs 2000 amounts to rs 2226.05 in two years at compound interest .The rate of interest is?
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rate of interest is 5.5% per annum.
it is given,
amount after 2 years , A = 2226.05 Rs.
principal, P = 2000 Rs.
time period, n = 2
using formula,
A = P(1 + r/100)²
⇒2226.05 = 2000(1 + r/100)²
⇒(2226.05/2000) = (1 + r/100)²
⇒(1.113025) = (1 + r/100)²
⇒1 + r/100 = √(1.113025) = 1.055
⇒r/100 = 0.055
⇒r = 0.055 × 100 = 5.5 %
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