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What should be the interest rate for an amount to become 5 times of self at simple interest in 100 years ?

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we know that SI= Amount-principal

Therefore, SI=5x-x = 4x

now the formula to find rate is :-

R=SI x 100/P x T = (4x x 100/x.100)%=4%

verification:-

Let p= Rs.1

R=4% and Time=100 years

SI=Rs (1 x 4 x 100)/100 = Rs 4

Amount = P + SI = Rs 1 + Rs 4 = Rs 5, which is 5 times of 1.

Hence verified too.