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interest calculation example 7

problem:

John will buy a new car.

The interest rate is 8%, therefore he has to pay € 450,- in 160 days to the bank.

What is the loan?

anwswer:

1. step: given/wanted
 
interest: € 440,89
 
interest rate: 8% 
 
time: 160 days
 
wanted: loan (capital) ?  
 
2. step: calculate
 
Tom:
 
i = interest   c = capital    ir = interest rate   d = days
 
i =  c * ir * d       / * 36 000
       36 000
 
i * 36 000  = c * ir * d    / : (ir * d)
 
c = i * 36 000
        (ir *d)
      
c = 440,89 * 36 000
         (8 * 160)
 
c = € 12 400,-   (gerundet auf €)
 
3. step: answer
 
The loan is € 12 400,-.