SOLUTION: The hire purchase price of a refridgerator is R6500. the deposit of R500 is made and the remainder is paid in equal monthly payments of R250. what is the interest rate ( simple int

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The hire purchase price of a refridgerator is R6500. the deposit of R500 is made and the remainder is paid in equal monthly payments of R250. what is the interest rate ( simple int      Log On


   



Question 1068812: The hire purchase price of a refridgerator is R6500. the deposit of R500 is made and the remainder is paid in equal monthly payments of R250. what is the interest rate ( simple interest ) charged on this transaction?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
It depends on how many payments of R250 are required.
The number of payments required should be stated as part of the question.

If you have to make only 24 such payments,
the amount paid in those 24 such payments adds up to
24%2A%28R250%29=R6000 ,
and since that plus the R500 deposit equals the full price,
R6000%2BR500=R6500 ,
the interest rate would be %220%25%22 .

If you have to make 30 such payments,
the amount paid in those 30 such payments adds up to
30%2A%28R250%29=R7500 .
After the R500 deposit, there was a debt of
R6500-R500=R6000 .
If .
That amounts to R1500%2FR6000=0.25=25%2F100=%2225%25%22 of the amount financed.
With that paid over 30+months=30%2F12years=2.5years ,
The simple interest would be %2225%25%22%2F2.5=%2210%25%22 .
months
and since that plus the R500 deposit equals the full price,
R6000%2BR500=R6500 ,
the interest rate would be %220%25%22 .

If you want to write a formula, you could write
I=Prt, where
I= interest paid,
P= amount financed,
t= time in years, and
r= interest rate as a decimal, for example 0.12 for %2212%25%22=12%2F100=0.12 .
Then, for I=R1500 ,
with t=30%2F12=2.5 for 30 monthly payments,
you would write
R1500=%28R6000%29r%282.5%29 , and solve to get r .
R1500%29%2F%28%28R6000%29r%282.5%29%29=r
r=0.10 (for %2210%25%22 interest rate.