Puja invested 50000 for 2 years at 15% compound rate. What is the simple interest rate that she needs to put the same amount for the same time to ensure the same amount of return?

Question: Puja invested 50000 for 2 years at 15% compound rate. What is the simple interest rate that she needs to put the same amount for the same time to ensure the same amount of return?

Solution:
P = 50000
n = 2 years
r = 15%

C = p(1 + r)ⁿ
= 50000(1 + 15/100)²
= 50000 ( 115/100)²
= 66125

return = 66125 - 50000 = 16125Tk

Let the simple interest rate is X%
we know,
I = PnX/100
X = (100 × I)/ Pn
= (100 × 16125)/(50000 × 2)
= 16.125%