3. John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?
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Answer:
The actual yearly rate of interest paid by John=16.67%
Step-by-step explanation:
Cost price of truck=4,500 dollars
Amount paid after purchase=1500 dollars
Remaining amount=4,500-15000
=3000 dollars
They made an agreement to pay the remaining amount by paying 350 dollars for the next 10 months,so John will pay a total amount of 350×10=3500 dollars
Now as we can note that John is paying an extra amount in the place of 3000 dollars, the extra amount paid by John =3500-3000=500 dollars
This amount of 500 dollars is the interest paid by John
Let the rate of interest be y
y×3000÷100=300
y=16.67
The above value of y is the actual yearly rate of interest paid by John.
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