4.61 years or about 4 years 7 months will take 200 amounting to 280 at 8.66% per annum.
It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.
The question is incomplete.
The complete question is:
How many years will
200 amount to 280 at 8.66% per annum if the interest to be applied is simple interest.
We know simple interest formula:
A = P(1 + rt)
A = 280
P = 200
r = 8.66% = 0.0866
280 = 200(1 + 0.0866t)
1 + 0.0866t = 1.4
0.0866t = 0.4
t = 4.61 years (about 4 years 7 months)
Thus, 4.61 years or about 4 years 7 months will take 200 amounting to 280 at 8.66% per annum.
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