The annual rate of interest : 5.3%
Further explanation
Interest: the percentage calculated from the amount of money we borrow, expressed as a percentage. Usually calculated within 1 year (12 months)
For simple interest (not compound interest) we can use the formula
[tex]\tt \boxed{\bold{i=rtP}}[/tex]
i = interest
r = interest rate
t = time (years)
P = amount borrowed
Known
interest = i = 265
time = t = 4 months = 1/3 year
amount borrowed = P = 15000
We put it in the formula:
[tex]\tt 265=r\times \dfrac{1}{3}\times 15000\\\\r=\dfrac{265\times 3}{15000}\\\\r=0.053=5.3\%[/tex]
Or we use simple calculations
[tex]\tt \%\dfrac{r}{12~month}\times 15000=\dfrac{265}{4~month}\\\\\%r\times 15000=\dfrac{265\times 12}{4}\\\\\%r=\dfrac{795}{15000}=0.053\\\\r=5.3\%[/tex]
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