At what rate of compound interest of certain sum of money becomes 27 times of itself in 3 years?

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Solution

Let, Principal amount be P.

Rate of interest be R per annum.

Time of investment is (T)=12 years.

Sum of the money becomes three times in 12 years.

⇒A=3P.

⇒A=P+(P×T×R100)

⇒3P=P(1+T×R100)

⇒3=1+12×R100

⇒3−1=12R100

⇒2=3R25

⇒50=3R

⇒503=R

Now, we need to find the number of years T such that, Sum of the money becomes five times.

⇒5P=P(1+T×R100)

⇒5=1+T×503×100

⇒5−1=T×13×2

⇒4=T6

⇒24=T

will it become 5 times at the same rate of simple interest 24 years.

How many years will a sum become 27 times when it trebles itself in 2 years at CI?

At what rate a sum of money will becomes eight times of itself in 3 years if the interest compounded yearly?

At what rate of compound interest does a sum of money becomes four times of itself in 4 year?

On which rate does a certain amount will become four times of itself in two years if interest being calculated as compound interest?