the simple interest on a certain sum for 3 years is 225 and the compound interest on the same sum at the same rate for 2 years is 153 . find the rate of interest and the principal
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Answer:
interest rate=4%
P=1875
Step-by-step explanation:
SI(3 years)=225
SI/year=75
let the interest rate be x
now CI(2 years)=153
CI basically means interest on interest.
CI=2*SI + ( interest on SI) = 153
2*75 + [(x * 75) / 100] = 153
(x / 100) * 75 = 3
x = 4%
since SI = P * R * T / 100 ( R=interest rate T = time)
P = (SI*100)/(R*T)
P= (225 * 100) / (4 * 1)
P = 22500 / 4
P = 1875
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