At what rate of interest, does a sum of money becomes 27 times itself in three years compounded annually, what is rate of interest?

At what rate of interest, does a sum of money becomes 27 times itself in three years compounded annually, what is rate of interest?

a. 100%

b. 250%

c. 200%

d. 150%

e. 300%

Sol:

Let the principal amount be ‘P’ and rate of

compound interest be ‘R’ then,

27P = P * (1 + R/100)3

27 = (1 + R/100)3

3 = 1 + R/100

R = 200%

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