At what rate percent per annum will a sum of Rs.2000 amount to Rs.2205 in 2 years, compounded annually. (if u are talking ² to both sides please tell the reason for it)
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Rate of Interest=5%
Let the rate be R,
Amount=Rs 2205
Principal=Rs 2000
Time=2 years
∴We know,
A=P(1+R/100)∧2
2205=2000(1+R/100)∧2
2205/2000=(1+R/100)∧2
(21/20)∧2=(1+R/1000)∧2
21/20=1+R/100 [∵The power are cancelled]
(21/20)-1=R/100
1/20=R/100
R=(1/20)*100
R=5%
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