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interest calculation example 6

problem:

Mary will buy a new kitchen.

Therefore she has to take up a loan of € 8 000, which she wants to repay after 8 month.

The bank wants € 240,- interest.

What is the interest rate?

answer:

1. step: given/wanted

capital:  € 8 000,-
 
interest: € 240,-   
 
time: 8 month
 
wanted: interest rate in % ?  
 
2. step: calculate
 
Tom:
 
i = interest   c = capital    ir = interest rate   m = months
 
i =  c * ir * m
        1 200
 
240  = 8 000 * ir * 8
               1200
 
240  = 8 000 * ir * 8       / * 1 200
               1 200
 
288 000 = 64 000  * ir     / : 64 000

 
ir = 4,5%
 
 
3. step: answer
 
The interest rate is 4,5%.